Part II: Conclusions of the Astrolabe

PART II: HERE BIGINNEN THE CONCLUSIONS OF THE ASTROLABIE. 1. To fynde the degree in which the sonne is day by day, after hir cours (E33) a-boute. [Hic incipiunt Conclusiones Astrolabii; et prima est ad inveniendum gradus solis in quibus singulis diebus secundum cursum sol est existens.] (F26)

Rekene and knowe which is the day of thy monthe; and ley thy rewle up that same day; and thanne wol the verrey point of thy rewle sitten in the bordure, up-on the degree of thy sonne. Ensample as thus: the yeer of oure Lord 1391, the 12 day of March at midday, I wolde knowe the degree of the sonne. I soughte in the bak-half of myn Astrolabie, and fond the cercle of the dayes, the whiche I knowe by the names of the monthes writen under the same cercle. Tho leide I my rewle over this forseide day, and fond the point of my rewle in the bordure up-on the firste degree of Aries, a litel with-in the degree; and thus knowe I this conclusioun. Another day, I wolde knowe the degree of my sonne, and this was at midday in the 13 day of December; I fond the day of the month in maner as I seide; tho leide I my rewle up-on this forseide 13 day, and fond the point of my rewle in the bordure up-on the first degree of Capricorne, a lite with-in the degree; and than hadde I of this conclusioun the ful experience. And for the more declaracioun, lo here thy figure. (F27)

2. To knowe the altitude of the sonne or of othre celestial bodies. [De altitudine solis et aliorum corporum supra celestium.]
Put the ring of thyn Astrolabie up-on thy right thoumbe, and turne thy lift syde agayn the light of the sonne. And remeve thy rewle up and doun, til that the stremes of the sonne shyne thorgh bothe holes of thy rewle. Loke thanne how many degrees thy rule is areised fro the litel crois up-on thyn est lyne, and tak ther the altitude of thy sonne. And in this same wyse maistow knowe by nighte the altitude of the mone, or of brighte sterres. This chapitre is so general ever in oon, that ther nedith no more declaracioun; but forget it nat. And for the more declaracioun, lo here the figure. (F28) (E34)

3. To knowe every tyme of the day by light of the sonne, and every tyme of the night by the sterres fixe, and eke to knowe by night or by day the degree of any signe that assendeth on the Est Orisonte, which that is cleped communly the Assendent, or elles Oruscupum. [Ad cognoscendum quodlibet tempus diei per solis indicacionem, et quodlibet tempus noctis per quasdam stellas in celo fixas; ac eciam ad inveniendum et cognoscendum signum super orizontem qui communitor vocatur ascendens.]
Tak the altitude of the sonne whan thee list, as I have said; and set the degree of the sonne, in cas that it be by-forn the middel of the day, among thyn almikanteras on the est side of thyn Astrolabie; and yif it be after the middel of the day, set the degree of thy sonne up-on the west side; tak this manere of setting for a general rewle, ones for evere. And whan thou hast set the degree of thy sonne up as lo many almikanteras of heyghte as was the altitude of the sonne taken by thy rewle, ley over thy label up-on the degree of the sonne; and thanne wol the point of thy label sitten in the bordure, up-on the verrey tyd of the day. Ensample as thus: the yeer of oure lord 1391, the 12 day of March, I wolde knowe the tyd of the day. I took the altitude of my sonne, and fond that it was 25 degrees and 30 of minutes of heyghte in the bordure on the bak-syde. Tho turnede I myn Astrolabie, and by-cause that it was by-forn midday, I turnede my riet, and sette the degree of the sonne, that is to seyn, the 1 degree of Aries, on the right syde of myn Astrolabie up-on that 25 degrees and 30 of minutes of heyghte among myn almikanteras; tho leide I my label up-on the degree of my sonne, and fond the poynte of my label in the bordure, up-on a capital lettre that is cleped an X; tho rekened I alle the capitalles lettres fro the lyne of midnight un-to this forseide lettre X, and fond that it was 9 of the clokke of the day. Tho loked I down up-on the est orisonte, and fond there the 20 degree of Geminis assending; which that I tok for myn assendent. And in this wyse hadde I the experience for ever-mo in which maner I sholde knowe the tyd of the day, and eek myn assendent. (E35) Tho wolde I wite the same night folwing the hour of the night, and wroughte in this wyse. Among an heep of sterris fixe, it lyked me for to take the altitude of the feire white sterre that is cleped Alhabor; (E36) and fond hir sitting on the west side of the lyne of midday, 18 degrees of heighte taken by my rewle on the bak-syde. Tho sette I the centre of this Alhabor up-on 18 degrees among myn almikanteras, up-on the west syde; by-cause that she was founden on the west syde. Tho leide I my label over the degree of the sonne that was descended under the weste orisonte, and rekened alle the lettres capitals fro the lyne of midday un-to the point of my label in the bordure; and fond that it was passed 8 of the clokke the space of 2 degrees. Tho loked I doun up-on myn est orisonte, and fond ther 23 degrees of Libra assending, whom I tok for myn assendent; and thus lerned I to knowe ones for ever in which manere I shuld come to the houre of the night and to myn assendent, as verreyly as may be taken by so smal an instrument. But natheles, in general, wolde I warne thee for evere, ne mak thee nevere bold to have take a iust ascendent by thyn Astrolabie, or elles to have set iustly a clokke, whan any celestial body by which that thou wenest governe thilke thinges ben ney the south lyne; for trust wel, whan that the sonne is ney the meridional lyne, the degree of the sonne renneth so longe consentrik up-on the almikanteras, that sothly thou shalt erre fro the iust assendent. The same conclusion sey I by the centre of any sterre fix by night; and more-over, by experience, I wot wel that in oure orisonte, from 11 of the clokke un-to oon of the clokke, in taking of a iust assendent in a portatif Astrolabie, hit is to hard to knowe. I mene, from 11 of the clokke biforn the houre of noon til oon of the clok next folwing. And for the more declaracion, lo here thy figure. (F29)

4. A special declaracioun of the assendent. [Specialis declaracio de ascendente.] (E37)
The assendent sothly, as wel in alle nativitez as in questiouns and elecciouns of tymes, is a thing which that thise astrologiens gretly observen; wher-fore me semeth convenient, sin that I speke of the assendent, to make of it special declaracioun. The assendent sothly, to take it at the largeste, is thilke degree that assendeth at any of thise forseide tymes upon the est orisonte; and there-for, yif that any planet assende at that same tyme in thilke for-seide degree of his longitude, men seyn that thilke planete is in horoscopo. But sothly, the hous of the assendent, that is to seyn, the firste hous or the est angle, is a thing more brood and large. For, after the statutz of astrologiens, what celestial body that is 5 degrees above thilk degree that assendeth, or with-in that noumbre, that is to seyn, nere the degree that assendeth, yit rikne they thilke planet in the assendent. And what planete that is under thilke degree that assendith the space of 25 degrees, yit seyn they that thilke planete is lyk to him that is in the hous of the assendent; but sothly, yif he passe the bondes of thise forseide spaces, above or bynethe, they seyn that the planete is failling fro the assendent. Yit sein thise astrologiens, that the assendent, and eke the lord of the assendent may be shapen for to be fortunat or infortunat, as thus: (E38) a fortunat assendent clepen they whan that no wykkid planete, as Saturne or Mars, or elles the Tail of the Dragoun, is in the hous of the assendent, ne that no wikked planete have non aspecte of enemite up-on the assendent. But they wol caste that they have a fortunat planete in hir assendent and yit in his felicitee, and than sey they that it is wel. Forther-over, they seyn that the infortuning of an assendent is the contrarie of thise forseide thinges. The lord of the assendent, sey they, that he is fortunat, whan he is in good place fro the assendent as in an angle; or in a succedent where-as he is in his dignitee and comforted with frendly aspectes of planetes and wel resceived, and eke that he may seen the assendent, (E39) and that he be nat retrograd ne combust, (E40) ne ioigned with no shrewe in the same signe; ne that he be nat in his descencioun, ne ioigned with no planete in his discencioun, ne have up-on him non aspecte infortunat; and than sey they that he is well. Natheles, thise ben observauncez of iudicial matiere and rytes of payens, in whiche my spirit ne hath no feith, ne no knowing of her horoscopum; for they seyn that every signe is departed in 3 evene parties by 10 degrees, and thilke porcioun they clepe a Face. (E41) And al-thogh that a planete have a latitude fro the ecliptik, yit sey some folk, so that the planete aryse in that same signe with any degree of the forseide face in which his longitude is rekned, that yit is the planete in horoscopo, be it in nativite or in eleccioun, &c. And for the more declaracioun, lo here the figure. (F30)

5. To knowe the verrey equacioun of the degree of the sonne, yif so be that it falle by-twixe thyn Almikanteras. [Ad cognoscendum veram equacionem de gradu solis, si contigorit fore in duas Almicanteras.]
For as muche as the almikanteras in thyn Astrolabie been compouned by two and two, where-as some almikanteras in sondry Astrolabies ben compouned by on and on, or elles by two and two, it is necessarie to thy lerning to teche thee first to knowe and worke with thyn owne instrument. Wher-fore, whan that the degree of thy sonne falleth by-twixe two almikanteras, or elles yif thyn almikanteras ben graven with over gret a point of a compas, (for bothe thise thinges may causen errour as wel in knowing of the tyd of the day as of the verrey assendent), thou most werken in this wyse. Set the degree of thy sonne up-on the heyer almikanteras of bothe, and waite wel where as thin almury toucheth the bordure, and set ther a prikke of inke. Set doun agayn the degree of the sonne up-on the nethere almikanteras of bothe, and set ther another prikke. Remewe thanne thyn almury in the bordure evene amiddes bothe prikkes, and this wol lede iustly the degree of thy sonne to sitte by-twixe bothe almikanteras in his right place. Ley thanne thy label over the degree of thy sonne; and find in the bordure the verrey tyde of the day or of the night. And as verreyly shaltow finde up-on thyn est orisonte thyn assendent. And for more declaracioun, lo here thy figure. (F31)

6. To knowe the spring of the dawing and the ende of the evening, the which ben called the two crepusculis: [Ad cognoscendum ortum solis et eius occasum, que vocatur vulgariter erepusculum.]
Set the nadir of thy sonne up-on 18 degrees of heighte among thyn almikanteras on the west syde; and ley thy label on the degree of thy sonne, and than shal the poynt of thy label schewe the spring of day. Also set the nadir of thy sonne up-on 18 degrees of heighte a-mong thyn almikanteras on the est side, and ley over thy label up-on the degree of the sonne, and with the point of thy label find in the bordure the ende of the evening, that is, verrey night. The nadir of the sonne is thilke degree that is opposit to the degree of the sonne, in the seventhe signe, (E42) as thus: every degree of Aries by ordre is nadir to every degree of Libra by ordre; and Taurus to Scorpion; Gemini to Sagittare; Cancer to Capricorne; Leo to Aquarie; Virgo to Pisces; and yif any degree in thy zodiak be dirk, his nadir shal declare him. And for the more declaracioun, lo here thy figure. (F32)

7. To knowe the arch of the day, that some folk callen the day artificial, from the sonne arysing til hit go to reste. [Ad cognoscendum archum diei, quem vulgus vocat diem artificialem, in hoc, ab ortu solis usque ad occasum.]
Set the degree of thy sonne up-on thyn est orisonte, and ley thy label on the degree of the sonne, and at the poynt of thy label in the bordure set a prikke. Turn thanne thy riet aboute til the degree of thy sonne sit up-on the west orisonte, and ley thy label up-on the same degree of the sonne, and at the point of thy label set a-nother prikke. Rekne thanne the quantitee of tyme in the bordere by-twixe bothe prikkes, and tak there thyn ark of the day. The remenant of the bordure under the orisonte is the ark of the night. Thus maistow rekne bothe arches, or every porcion, of whether that thee lyketh. And by this manere of wyrking maistow see how longe that any sterre fix dwelleth a-bove the erthe, fro tyme that he ryseth til he go to reste. But the day natural, that is to seyn 24 houres, is the revolucioun of the equinoxial with as moche partie of the zodiak as the sonne of his propre moevinge passith in the mene whyle. And for the more declaracioun, lo here thy figure. (F33)

8. To turne the houres in-equales in houres equales. [Ad convertendum horas inequales in horas equales.] (E43)
Know the nombre of the degrees in the houres in-equales, and departe hem by 15, and tak ther thyn houres equales. And for the more declaracioun, lo here thy figure. (F34)

9. To knowe the quantitee of the day vulgare, that is to seyen, from spring of the day un-to verrey night. [Ad cognoscendum quantitatem diel vulgaris, viz. ab ortu diei usque ad noctem.]
Know the quantitee of thy crepusculis, as I have taught in the chapitre bi-forn, (E44) and adde hem to the arch of thy day artificial; and tak ther the space of alle the hole day vulgar, un-to verrey night. The same manere (E45) maystow worke, to knowe the quantitee of the vulgar night. And for the more declaracioun, lo here the figure. (F35)

10. To knowe the quantite of houres in-equales by day. [Ad cognoscendum horas inequales in die.]
Understond wel that thise houres in-equales ben cleped houres of planetes, and understond wel that som-tyme ben they lengere by day than by night, and som-tyme the contrarie. But understond wel, that evermo, generaly the hour in-equal of the day with the houre in-equal of the night contenen 30 degrees of the bordure, which bordure is ever-mo answering to the degrees of the equinoxial; wher-fore departe the arch of the day artificial in 12, and tak ther the quantitee of the houre in-equal by day. And yif thow abate the quantitee of the houre in-equal by daye out of 30, than shal the remenant that leveth performe the houre inequal by night. And for the more declaracioun, lo here the figure. (F36)

11. To knowe the quantite of houres equales. [Ad cognoscendum quantitatem horarum inequalium.]
The quantitee of houres equales, that is to seyn, the houres of the clokke, ben departed by 15 degrees al-redy in the bordure of thyn Astrolabie, as wel by night as by day, generaly for evere. What nedeth more declaracioun? Wher-for, whan thee list to know how manye houres of the clokke ben passed, or any part of any of thise houres that ben passed, or elles how many houres or partie of houres ben to come, fro swich a tyme to swich a tyme, by day or by nighte, knowe the degree of thy sonne, and ley thy label on it; turne thy riet aboute ioyntly with thy label, and with the point of it rekne in the bordure fro the sonne aryse un-to the same place ther thou desirest, by day as by nighte. This conclusioun wol I declare in the laste chapitre of the 4 partie of this tretis so openly, that ther shal lakke no worde that nedeth to the declaracioun. And for the more declaracioun, lo here the figure. (F37)

12. Special declaracioun of the houres of planetes. [Specialis declaracio de horis planetarum.]

Understond wel, that ever-mo, fro the arysing of the sonne til it go to reste, the nadir of the sonne shal shewe the houre of the planete; and fro that tyme forward al the night til the sonne arise, than shal the verrey degree of the sonne shewe the houre of the planete. Ensample as thus. The 13 day of March fil up-on a Saturday, per aventure, and, at the arising of the sonne, I fond the secounde degree of Aries sitting up-on myn est orisonte, al-be-it that it was but lite; than fond I the 2 degree of Libra, nadir of my sonne, dessending on my west orisonte, up-on which west orisonte every day generally, at the sonne ariste, entreth the houre of any planete, after which planete the day bereth his name; and endeth in the nexte stryk of the plate under the forseide west orisonte; and evere, as the sonne climbith uppere and uppere, so goth his nadir dounere and dounere, teching by swich strykes the houres of planetes by ordre as they sitten in the hevene. The first houre inequal of every Satterday is to Saturne; and the seconde, to Iupiter, the 3, to Mars; the 4, to the Sonne; the 5, to Venus; the 6, to Mercurius; the 7, to the Mone; and thanne agayn, the 8 is to Saturne; the 9, to Iupiter; the 10, to Mars; the 11, to the Sonne; the 12, to Venus; and now is my sonne gon to reste as for that Setterday. Thanne sheweth the verrey degree of the sonne the houre of Mercurie entring under my west orisonte at eve; and next him succedeth the Mone; and so forth by ordre, planete after planete, in houre after houre, all the night longe til the sonne aryse. Now ryseth the sonne that Sonday by the morwe; and the nadir of the sonne, up-on the west orisonte, sheweth me the entring of the houre of the forseide sonne. And in this maner succedeth planete under planete, fro Saturne un-to the Mone, and fro the Mone up a-gayn to Saturne, houre after houre generaly. And thus have I this conclusioun. And for the more declaracioun, lo here the figure. (F38)

13. To knowe the altitude of the sonne in middes of the day, that is cleped the altitude meridian. [Ad cognoscendum altitudinem solis in medic diei, que vocatur altitudo meridiana.]
Set the degree of the sonne up-on the lyne meridional, and rikene how many degrees of almikanteras ben by-twixe thyn est orisonte and the degree of the sonne. And tak ther thyn altitude meridian, this is to seyne, the heyest of the sonne as for that day. So maystow knowe in the same lyne, the heyest cours (E46) that any sterre fix climbeth by night; this is to seyn, that whan any sterre fix is passed the lyne meridional, than by-ginneth it to descende, and so doth the sonne. And for the more declaracioun, lo here thy figure. (F39)

14. To knowe the degree of the sonne by thy riet, for a maner curiositee, &c. [Ad cognoscendum gradum solis curiose.]
Sek bysily with thy rewle the heyest of the sonne in midde of the day; turne thanne thyn Astrolabie, and with a prikke of ink marke the nombre of that same altitude in the lyne meridional. Turne thanne thy riet a-boute til thou fynde a degree of thy zodiak acording with the prikke, this is to seyn, sittinge on the prikke; and in sooth, thou shalt finde but two degrees (E47) in al the zodiak of that condicioun; and yit thilke two degrees ben in diverse signes; than maistow lightly by the sesoun of the yere knowe the signe in whiche that is the sonne. And for the more declaracioun, lo here thy figure. (F40)

15. To know which day is lyk to which day as of lengthe &c. [Ad cognoscendum quales dies in longitudine sunt similes.]
Loke whiche degrees ben y-lyke fer fro the hevedes of Cancer and Capricorn; and lok, whan the sonne is in any of thilke degrees, than ben the dayes y-lyke of lengthe. This is to seyn, that as long is that day in that monthe, as was swich a day in swich a monthe; ther varieth but lite. Also, yif thou take two dayes naturaly in the yer y-lyke fer fro eyther pointe of the equinoxial in the opposit parties, than as long is the day artificial of that on day as is the night of that othere, and the contrarie. And for the more declaracioun, lo here thy figure. (F41)

16. This chapitre is a maner declaracioun to conclusiouns that folwen. [Illud capitulum est quedam declaracio ad certas conclusiones sequentes.]
Understond wel that thy zodiak is departid in two halfe cercles, as fro the heved of Capricorne un-to the heved of Cancer; and agaynward fro the heved of Cancer un-to the heved of Capricorne. The heved of Capricorne is the lowest point, wher-as the sonne goth in winter; and the heved of Cancer is the heyest point, in whiche the sonne goth in somer. And ther-for understond wel, that eny two degrees that ben y-lyke fer fro any of thise two hevedes, truste wel that thilke two degrees ben of y-lyke declinacioun, be it southward or northward; and the dayes of hem ben y-lyke of lengthe, and the nightes also; and the shadwes y-lyke, and the altitudes y-lyke at midday for evere. And for more declaracioun, lo here thy figure. (F42)

17. To knowe the verrey degree of any maner sterre, straunge or unstraunge, after his longitude; though he be indetermynat in thin Astralabie, sothly to the trouthe thus he shal be knowe. [Ad cognoscendum verum gradum alicuius stelle aliene secundum eius longitudinem, quamvis sit indeterminata in astrolabio; veraciter isto modo.] (E48)
Tak the altitude of this sterre whan he is on the est side of the lyne meridional, as ney as thou mayst gesse; and tak an assendent a-non right by som maner sterre fix which that thou knowest; and for-get nat the altitude of the firste sterre, ne thyn assendent. And whan that this is don, espye diligently whan this same firste sterre passeth any-thing the south westward, and him a-non right in the same noumbre of altitude on the west side of this lyne meridional as he was caught on the est side; and tak a newe assendent a-non right by som manere sterre fixe which that thou knowest; and for-get nat this secounde assendent. And whan that this is don, rikne thanne how manye degrees ben by-twixe the first assendent and the seconde assendent, and rikne wel the middel degree by-twene bothe assendentes, and set thilke middel degree up-on thin est orisonte; and waite thanne what degre that sit up-on the lyne meridional, and tak ther the verrey degree of the ecliptik in which the sterre stondeth for the tyme. For in the ecliptik is the longitude of a celestial body rekened, evene fro the heved of Aries un-to the ende of Pisces. And his latitude is rikned after the quantite of his declinacion, north or south to-warde the poles of this world; as thus. Yif it be of the sonne or of any fix sterre, rekene his latitude or his declinacioun fro the equinoxial cercle; and yif it be of a planete, rekne than the quantitee of his latitude fro the ecliptik lyne. Al-be-it so that fro the equinoxial may the declinacion or the latitude of any body celestial be rikned, after the site (E49) north or south, and after the quantitee of his declinacion. And right so may the latitude or the declinacion of any body celestial, save only of the sonne, after his site north or south, and after the quantitee of his declinacion, be rekned fro the ecliptik lyne; fro which lyne alle planetes som tyme declynen north or south, save only the for-seide sonne. And for the more declaracioun, lo here thy figure. (F43)

18. To knowe the degrees of longitudes of fixe sterres after that they ben determinat in thin Astrolabie, yif so be that they ben trewly set. [Ad cognoscendum gradus longitudinis de stellis fixis que determinantur in astrolabie, sicut in suis locis recte locentur.] (E50)
Set the centre of the sterre up-on the lyne meridional, and tak keep of thy zodiak, and loke what degree of any signe that sit on the same lyne meridional at that same tyme, and tak the degree in which the sterre standeth; and with that same degree comth that same sterre un-to that same lyne fro the orisonte. And for more declaracioun, lo here thy figure. (F44)

19. To knowe with which degree of the zodiak any sterre fixe in thyn Astrolabie arysith up-on the est orisonte, althogh his dwelling be in a-nother signe. [Ad cognoscendum cum quibus gradibus zodiaci que stella fixa in astrolabie ascendit super orizontem orientalem, quamvis cius statio sit in alio signo.]
Set the centre of the sterre up-on the est orisonte, and loke what degree of any signe that sit up-on the same orisonte at that same tyme. And understond wel that with that same degree aryseth that same sterre; and this merveyllous arysing with a strange degree in another signe is by-cause that the latitude of the sterre fix is either north or south fro the equinoxial. (E51) But sothly the latitudes of planetes be comunly rekned fro the ecliptik, bi-cause that non of hem declineth but fewe degrees out fro the brede of the zodiak. And tak good keep of this chapitre of arysing of celestial bodies; for truste wel, that neyther mone ne sterre as in oure embelif orisonte aryseth with that same degree of his longitude, save in o cas; and that is, whan they have no latitude fro the ecliptyk lyne. But natheles, som tyme is everiche of thise planetes under the same lyne. And for more declaracioun, lo here thy figure. (F45)

20. To knowe the declinacioun of any degree in the zodiak fro the equinoxial cercle, &c. [Ad cognoscendum declinacionem alicuius gradus in zodiaco a circulo equinoctiali.]
Set the degree of any signe up-on the lyne meridional, and rikne his altitude in the almikanteras fro the est orizonte up to the same degree set in the forseide lyne, and set there a prikke. Turne up thanne thy riet, and set the heved of Aries or Libra in the same meridional lyne, and set ther a-nother prikke. And whan that this is don, considere the altitudes of hem bothe; for sothly the difference of thilke altitudes is the declinacion of thilke degree fro the equinoxial. And yif so be that thilke degree be northward fro the equinoxial, than is his declinacion north; yif it be southward, than is it south. And for more declaracioun, lo here thy figure. (F46)

21. To knowe for what latitude in any regioun the almikanteras of any table ben compouned. [Ad cognoscendum pro qua latitudine in aliqua regione almicantre tabule mee sunt composito.]
Rikene how manye degrees of almikanteras, in the meridional lyne, be fro the cercle equinoxial un-to the senith; or elles fro the pool artik un-to the north orisonte; and for so gret a latitude or for so smal a latitude is the table compouned. And for more declaracioun, lo here thy figure. (F47)

22. To know in special the latitude of oure countray, I mene after the latitude of Oxenford, and the heighte of oure pol. [Ad cognoscendum specialiter latitudinem nostri regionis, scilicet latitudinem Oxonie, et altitudinem poli nostri.]
Understond wel, that as fer is the heved of Aries or Libra in the equinoxial fro oure orisonte as is the senith from the pole
artik; and as hey is the pol artik fro the orisonte, as the equinoxial is fer fro the senith. I prove it thus by the latitude of Oxenford. Understond wel, that the heyghte of oure pool artik fro oure north orisonte is 51 degrees and 50 minutes; than is the senith from oure pool artik 38 degrees and 10 minutes; than is the equinoxial from oure senith 51 degrees and 50 minutes; than is oure south orisonte from oure equinoxial 38 degrees and 10 minutes. Understond wel this rekning. Also forget nat that the senith is 90 degrees of heyghte fro the orisonte, and oure equinoxial is 90 degres from oure pool artik. Also this shorte rewle is soth, that the latitude of any place (E52) in a regioun is the distance fro the senith unto the equinoxial. And for more declaracioun, lo here thy figure. (F48)

23. To prove evidently the latitude of any place in a regioun, by the preve of the heyghte of the pol artik in that same place. [Ad probandum evidenter latitudinem alicuius loci in aliqua regione, per probacionem altitudinis de polo artico in eodem loco.]
In som winters night, whan the firmament is clere and thikke-sterred, waite a tyme til that any sterre fix sit lyne-right perpendiculer over the pol artik, and clepe that sterre A. (E53) And wayte a-nother sterre that sit lyne-right under A, and under the pol, and clepe that sterre F. And understond wel, that F is nat considered but only to declare that A sit evene overe the pool. Tak thanne a-non right the altitude of A from the orisonte, and forget it nat. Lat A and F go farwel til agayns the dawening a gret whyle; and come thanne agayn, and abyd til that A is evene under the pol and under F; for sothly, than wol F sitte over the pool, and A wol sitte under the pool. Tak than eft-sones the altitude of A from the orisonte, and note as wel his secounde altitude as his firste altitude; and whan that this is don, rikne how manye degrees that the first altitude of A excedeth his seconde altitude, and tak half thilke porcioun that is exceded, and adde it to his seconde altitude; and tak there the elevacion of thy pool, and eke the latitude of thy regioun. For thise two ben of a nombre; this is to seyn, as many degres as thy pool is elevat, so michel is the latitude of the regioun. Ensample as thus: par aventure, the altitude of A in the evening is 56 degrees of heyghte. Than wol his seconde altitude or the dawing be 48; that is 8 lasse than 56, that was his firste altitude at even. Take thanne the half of 8, and adde it to 48, that was his seconde altitude, and than hastow 52. Now hastow the heyghte of thy pol, and the latitude of the regioun. But understond wel, that to prove this conclusioun and many a-nother fair conclusioun, thou must have a plomet hanging on a lyne heyer than thin heved on a perche; and thilke lyne mot hange evene perpendiculer by-twixe the pool and thyn eye; and thanne shaltow seen yif A sitte evene over the pool, and over F at evene; and also yif F sitte evene over the pool and over A or day. And for more declaracioun, lo here thy figure. (F49)

24. Another conclusioun to prove the heyghte of the pool artik fro the orisonte. [Alia conclusio ad probandum altitudinem de polo artico ab orizonte.]
Tak any sterre fix that nevere dissendeth under the orisonte in thilke regioun, and considere his heyest altitude and his lowest altitude fro the orisonte; and make a nombre of bothe thise altitudes. Tak thanne and abate half that nombre, and tak ther the elevacioun of the pol artik in that same regioun. And for more declaracioun, lo here thy figure. (F50)

25. A-nother conclusioun to prove the latitude of the regioun, &c. [Alia conclusio ad probandum latitudinem regionis.]
Understond wel that the latitude of any place in a regioun is verreyly the space by-twixe the senith of hem that dwellen there and the equinoxial cerkle, north or southe, taking the mesure in the meridional lyne, as sheweth in the almikanteras of thyn Astrolabie. And thilke space is as moche as the pool artik is hey in that same place fro the orisonte. And than is the depressioun of the pol antartik, that is to seyn, than is the pol antartik, by-nethe the orisonte, the same quantite of space, neither more ne lasse. Thanne, yif thow desire to knowe this latitude of the regioun, tak the altitude of the sonne in the middel of the day, whan the sonne is in the hevedes of Aries or of Libra; (for thanne moeveth the sonne in the lyne equinoxial); and abate the nombre of that same sonnes altitude out of 90, and thanne is the remenaunt of the noumbre that leveth the latitude of that regioun. As thus: I suppose that the sonne is thilke day at noon 38 degrees and 10 minutes of heyghte. Abate thanne thise degrees and minutes out of 90; so leveth there 51 degrees and 50 minutes, the latitude. I say nat this but for ensample; for wel I wot the latitude of Oxenforde is certein minutes lasse, (E54) as I mighte prove. Now yif so be that thee semeth to long a taryinge, to abyde til that the sonne be in the hevedes of Aries or of Libra, thanne waite whan the sonne is in any other degree of the zodiak, and considere the degree of his declinacion fro the equinoxial lyne; and yif it so be that the sonnes declinacion be northward fro the equinoxial, abate thanne fro the sonnes altitude at noon the nombre of his declinacion, and thanne hastow the heyghte of the hevedes of Aries and Libra. As thus: my sonne is, par aventure, in the firste degre of Leoun, 58 degrees and 10 minutes of heyghte at noon and his declinacion is almost 20 degrees northward fro the equinoxial; abate thanne thilke 20 degrees of declinacion out of the altitude at noon, than leveth thee 38 degrees and odde minutes; lo ther the heved of Aries or Libra, and thyn equinoxial in that regioun. Also yif so be that the sonnes declinacioun be southward fro the equinoxial, adde thanne thilke declinacion to the altitude of the sonne at noon; and tak there the hevedes of Aries and Libra, and thyn equinoxial. Abate thanne the heyghte of the equinoxial out of 90 degrees, and thanne leveth there the distans of the pole, 51 degrees and 50 minutes, of that regioun fro the equinoxial. Or elles, yif thee lest, take the heyest altitude fro the equinoxial of any sterre fix that thou knowest, and tak his nethere elongacioun lengthing fro the same equinoxial lyne, and wirke in the maner forseid. And for more declaracioun, lo here thy figure. (F51)

26. Declaracioun of the assensioun of signes, &c. [Declaracio de ascensione signorum.]
The excellence of the spere solide, amonges other noble conclusiouns, sheweth manifeste the diverse assenciouns of signes in diverse places, as wel in the righte cercle as in the embelif cercle. Thise auctours wryten that thilke signe is cleped of right ascensioun, with which more part of the cercle equinoxial and lasse part of the zodiak ascendeth; and thilke signe assendeth embelif, with which lasse part of the equinoxial and more part of the zodiak assendeth. Ferther-over they seyn, that in thilke cuntrey where as the senith of hem that dwellen there is in the equinoxial lyne, and her orisonte passing by the poles of this worlde, thilke folk han this right cercle and the right orisonte; (E55) and evere-mo the arch of the day and the arch of the night is ther y-like long, and the sonne twyes every yeer passinge thorow the senith of her heved; and two someres and two winteres in a yeer han this forseide poeple. And the almikanteras in her Astrolabies ben streighte as a lyne, so as sheweth in this figure. (E56) The utilite to knowe the assenciouns in the righte cercle (E57) is this: truste wel that by mediacioun of thilke assenciouns thise astrologiens, by hir tables and hir instrumentz, knowen verreyly the assencioun of every degree and minut in al the zodiak, as shal be shewed. And nota, that this forseid righte orisonte, that is cleped orison rectum, divydeth the equinoxial in-to right angles; and the embelif orisonte, wher-as the pol is enhaused up-on the orisonte, overkerveth the equinoxial in embelif angles, as sheweth in the figure. And for the more declaracioun, lo here the figure. (F52)

27. This is the conclusioun to knowe the assenciouns of signes in the right cercle, that is, circulus directus, &c. [Ad cognoscendum ascenciones signorum in recto circulo, qui vocatur circulus directus.]
Set the heved of what signe thee liste to knowe his assending in the right cercle up-on the lyne meridional; and waite wher thyn almury toucheth the bordure, and set ther a prikke. Turne thanne thy riet westward til that the ende of the forseide signe sitte up-on the meridional lyne; and eft-sones waite wher thyn almury toucheth the bordure, and set ther another prikke. Rikne thanne the nombre of degrees in the bordure by-twixe bothe prikkes, and tak the assencioun of the signe in the right cercle. And thus maystow wyrke with every porcioun of thy zodiak, &c. And for the more declaracioun, lo here thy figure. (F53)

28. To knowe the assencions of signes in the embelif cercle in every regioun, I mene, in circulo obliquo. [Ad cognoscendum ascenciones signorum in circulo obliquo, in omni regione.]
Set the heved of the signe which as thee list to knowe his ascensioun up-on the est orisonte, and waite wher thyn almury toucheth the bordure, and set ther a prikke. Turne thanne thy riet upward til that the ende of the same signe sitte up-on the est orisonte, and waite eft-sones wher as thyn almury toucheth the bordure, and set ther a-nother prikke. Rikne thanne the noumbre of degrees in the bordure by-twixe bothe prikkes, and tak ther the assencioun of the signe in the embelif cercle. And understond wel, that alle the signes in thy zodiak, fro the heved of Aries unto the ende of Virgo, ben cleped signes of the north fro the equinoxial; and these signes arysen by-twixe the verrey est and the verrey north in oure orisonte generaly for evere. And alle the signes fro the heved of Libra un-to the ende of Pisces ben cleped signes of the south fro the equinoxial; and thise signes arysen ever-mo by-twixe the verrey est and the verrey south in oure orisonte. Also every signe by-twixe the heved of Capricorne un-to the ende of Geminis arysith on oure orisonte in lasse than two houres equales; and thise same signes, fro the heved of Capricorne un-to the ende of Geminis ben cleped `tortuos signes' or `croked signes', for they arisen embelif on oure orisonte; and thise crokede signes ben obedient to the signes that ben of right assencioun. The signes of right assencion ben fro the heved of Cancer to the ende of Sagittare; and thise signes arysen more upright, and they ben called eke sovereyn signes; and everich of hem aryseth in more space than in two houres. Of which signes, Gemini obeyeth to Cancer; and Taurus to Leo; Aries to Virgo; Pisces to Libra; Aquarius to Scorpioun; and Capricorne to Sagittare. And thus ever-mo two signes, that ben y-lyke fer fro the heved of Capricorne, obeyen everich of hem til other. And for more declaracioun, lo here the figure. (F54)

29. To knowe iustly the foure quarters of the world, as est, west, north, and south. [Ad cognoscendum evidenter quatour partes mundi, scilicet, orientum, austrum, aquilonem, et occidentem.] (E58)
Take the altitude of thy sonne whan thee list, and note wel the quarter of the world in which the sonne is for the tyme by the azimutz. Turne thanne thyn Astrolabie, and set the degree of the sonne in the almikanteras of his altitude, on thilke side that the sonne stant, as is the manere in taking of houres; and ley thy label on the degree of the sonne, and rikene how many degrees of the bordure ben by-twixe the lyne meridional and the point of thy label; and note wel that noumbre. Turne thanne a-gayn thyn Astrolabie, and set the point of thy gret rewle, ther thou takest thyne altitudes, up-on as many degrees in his bordure fro his meridional as was the point of thy label fro the lyne meridional on the wombe-syde. Tak thanne thyn Astrolabie with bothe handes sadly and slely, and lat the sonne shyne thorow bothe holes of thy rewle; and sleyly, in thilke shyninge, lat thyn Astrolabie couch adoun evene up-on a smothe grond, and thanne wol the verrey lyne meridional of thyn Astrolabie lye evene south, and the est lyne wole lye est, and the west lyne west, and the north lyne north, so that thou werke softly and avisely in the couching; and thus hastow the 4 quarters of the firmament. And for the more declaracioun, lo here the figure. (F55)

30. To knowe the altitude of planetes fro the wey of the sonne, whether so they be north or south fro the forseide wey. [Ad cognoscendum altitudinem planetarum a cursu solis, utrum sint in parte australi vel boreali a cursu supra dicto.]
Lok whan that a planete is in the lyne meridional, yif that hir altitude be of the same heyghte that is the degree of the sonne for that day, and than is the planete in the verrey wey of the sonne, (E59) and hath no latitude. And yif the altitude of the planete be heyere than the degree of the sonne, than is the planete north fro the wey of the sonne swich a quantite of latitude as shewith by thyn almikanteras. And yif the altitude of the planete be lasse than the degree of the sonne, thanne is the planete south fro the wey of the sonne swich a quantite of latitude as sheweth by thyn almikanteras. This is to seyn, fro the wey wher-as the sonne wente thilke day, but nat from the wey of the sonne in every place of the zodiak. And for the more declaracioun, lo here the figure. (F56)

31. To knowe the senith of the arysing of the sonne, this is to seyn, the partie of the orisonte in which that the sonne aryseth. [Ad cognoscendum signum de ortu solis, scilicet, illam partem orientis in qua oritur sol.] (E60)
Thou most first considere that the sonne arysith not al-wey verrey est, but some tyme by north the est, and som tyme by southe the est. Sothly, the sonne aryseth never-mo verrey est in oure orisonte, but he be in the heved of Aries or Libra. Now is thyn orisonte departed in 24 parties by thyn azimutz, in significacion of 24 partiez (E61) of the world; al-be-it so that shipmen rikne thilke partiez in 32. Thanne is ther no more but waite in which azimut that thy sonne entreth at his arysing; and take ther the senith of the arysing of the sonne. The manere of the devisioun of thyn Astrolabie is this; I mene, as in this cas. First it is devided in 4 plages principalx with the lyne that goth from est to west, and than with a-nother lyne that goth fro south to north. Than is it devided in smale parties of azimutz, as est, and est by southe, whereas is the firste azimut above the est lyne; and so forth, fro partie to partie, til that thou come agayn un-to the est lyne. Thus maistow understond also the senith of any sterre, in which partie he ryseth, &c. And for the more declaracioun, lo here the figure. (F57)

32. To knowe in which partie of the firmament is the coniunccioun. [Ad cognoscendum in qua parte firmamenti sunt coniuncciones solis et lune.]
Considere the tyme of the coniunccioun by thy kalender, as thus; lok how many houres thilke coniunccion is fro the midday of the day precedent, as sheweth by the canoun of thy kalender. Rikne thanne thilke nombre of houres in the bordure of thyn Astrolabie, as thou art wont to do in knowing of the houres of the day or of the night, and ley thy label over the degree of the sonne; and thanne wol the point of thy label sitte up-on the hour of the coniunccion. Loke thanne in which azimut the degree of thy sonne sittith, and in that partie of the firmament is the coniunccion. And for the more declaracioun, lo here thy figure. (F58)

33. To knowe the senith of the altitude of the sonne, &c. [Ad cognoscendum signa de altitudine solis.]
This is no more to seyn but any tyme of the day tak the altitude of the sonne; and by the azimut in which he stondeth, maystou seen in which partie of the firmament he is. And in the same wyse maystou seen, by the night, of any sterre, whether the sterre sitte est or west or north, (E62) or any partie by-twene, after the name of the azimut in which is the sterre. And for the more declaracioun, lo here the figure. (F59)

34. To knowe sothly the degree of the longitude of the mone, or of any planete that hath no latitude for the tyme fro the ecliptik lyne. [Ad cognoscendum veraciter gradum de longitudine lune, vel alicuius planete qui non habet longitudinem pro tempore causante linea ecliptica.]
Tak the altitude of the mone, and rikne thyn altitude up among thyn almikanteras on which syde that the mone stande; and set there a prikke. Tak thenne anon-right, up-on the mones syde, (E63) the altitude of any sterre fix which that thou knowest, and set his centre up-on his altitude among thyn almikanteras ther the sterre is founde. Waite thanne which degree of the zodiak toucheth the prikke of the altitude of the mone, and tak ther the degree in which the mone standeth. This conclusioun is verrey soth, yif the sterres in thyn Astrolabie stonden after the trowthe; of comune, tretis of the Astrolabie ne make non excepcioun whether the mone have latitude, or non; ne on whether syde of the mone the altitude of the sterre fix be taken. And "nota", that yif the mone shewe himself by light of day, than maystow worche this same conclusioun by the sonne, as wel as by the fix sterre. And for the more declaracioun, lo here thy figure. (F60)

35. This is the workinge of the conclusioun, to knowe yif that any planete be directe or retrograde. [Hec conclusio operatur ad cognoscendum si aliqua planeta sit directa vel retrograda.]
Tak the altitude of any sterre that is cleped a planete, and note it wel. And tak eek anon the altitude of any sterre fix that thou knowest, and note it wel also. Come thanne agayn the thridde or the ferthe night next folwing; for thanne shaltow aperceyve wel the moeving of a planete, whether so he moeve forthward or bakward. Awaite wel thanne whan that thy sterre fix is in the same altitude that she was whan thou toke hir firste altitude; and tak than eftsones the altitude of the forseide planete, and note it wel. For trust wel, yif so be that the planete be on the right syde (E64) of the meridional lyne, so that his seconde altitude be lasse than his first altitude was, thanne is the planete direct. And yif he be on the west syde in that condicion, thanne is he retrograd. And yif so be that this planete be up-on the est syde whan his altitude is taken, so that his secounde altitude be more than his first altitude, thanne is he retrograde, and yif he be on the west syde, than is he directe. But the contrarie of thise parties is of the cours of the mone; for sothly, the mone moeveth the contrarie from othere planetes as in hir episicle, (E65) but in non other manere. And for the more declaracioun, lo here thy figure. (F61)

36. The conclusiouns of equaciosns of houses, after the Astrolabie, &c. [Conclusio de equacione domorum.] (E66)
Set the by-ginning of the degree that assendeth up-on the ende of the 8 houre inequal; thanne wol the by-ginning of the 2 hous sitte up-on the lyne of midnight. Remeve thanne the degree that assendeth, and set him on the ende of the 10 hour inequal; and thanne wol the byginning of the 3 hous sitte up-on the midnight lyne. Bring up agayn the same degree that assendeth first, and set him up-on the orisonte; and thanne wol the be-ginning of the 4 hous sitte up-on the lyne of midnight. Tak thanne the nadir of the degree that first assendeth, and set him on the ende of the 2 houre inequal; and thanne wol the by-ginning of the 5 hous sitte up-on the lyne of midnight; set thanne the nadir of the assendent on the ende of the 4 houre, than wol the byginning of the 6 house sitte on the midnight lyne. The byginning of the 7 hous is nadir of the assendent, and the byginning of the 8 hous is nadir of the 2; and the by-ginning of the 9 hous is nadir of the 3; and the by-ginning of the 10 hous is nadir of the 4; and the byginning of the 11 hous is nadir of the 5; and the byginning of the 12 hous is nadir of the 6. And for the more declaracion, lo here the figure. (F62)

37. A-nother manere of equaciouns of houses by the Astrolabie. [De aliqua forma equacionis domorum secundum astrolabium.]
Tak thyn assendent, and thanne hastow thy 4 angles; for wel thou wost that the opposit of thyn assendent, that is to seyn, thy by-ginning of the 7 hous, sit up-on the west orisonte; and the byginning of the 10 hous sit up-on the lyne meridional; and his opposit up-on the lyne of midnight. Thanne ley thy label over the degree that assendeth, and rekne fro the point of thy label alle the degrees in the bordure, til thou come to the meridional lyne; and departe alle thilke degrees in 3 evene parties, and take the the evene equacion of 3; for ley thy label over everich of 3 parties, and than maistow see by thy label in which degree of the zodiak is the by-ginning of everich of thise same houses fro the assendent: that is to seyn, the beginning of the 12 house next above thyn assendent; and thanne the beginning of the 11 house; and thanne the 10, up-on the meridional lyne; as I first seide. The same wyse wirke thou fro the assendent doun to the lyne of midnight; and thanne thus hastow other 3 houses, that is to seyn, the byginning of the 2, and the 3, and the 4 houses; thanne is the nadir of thise 3 houses (E67) the by-ginning of the 3 houses that folwen. And for the more declaracioun, lo here thy figure. (F63)

38. To finde the lyne merydional to dwelle fix in any certein place. [Ad inveniendum lineam meridionalem per subtiles operaciounes.]
Tak a rond plate of metal; for warping, the brodere the bettre; (E68) and make there up-on a iust compas, a lite with-in the bordure; and ley this ronde plate up-on an evene grond, or on an evene ston, or on an evene stok fix in the gronde; and ley it even by a level. And in centre of the compas stike an evene pin or a wyr upright; the smallere the betere. Set thy pin by a plom-rewle evene upright; and let this pin be no lengere than a quarter of the diametre of thy compas, fro the centre. (E69) And waite bisily, aboute 10 or 11 of the clokke and whan the sonne shyneth, whan the shadwe of the pin entreth any-thing (E70) with-in the cercle of thy plate an heer-mele, and mark ther a prikke with inke. Abyde thanne stille waiting on the sonne after 1 of the clokke, til that the schadwe of the wyr or of the pin passe ony-thing out of the cercle of the compas, be it never so lyte; and set ther a-nother prikke of inke. Take than a compas, and mesure evene the middel by-twixe bothe prikkes, and set ther a prikke. Take thanne a rewle, and draw a stryke, evene a-lyne fro the pin un-to the middel prikke; and tak ther thy lyne meridional for evere-mo, as in that same place. And yif thow drawe a cros-lyne over thwart the compas, iustly over the lyne meridional, than the nadir of the south lyne is the north lyne. And for more declaracioun, lo here thy figure. (F64)

39. Descripcion of the meridional lyne, of longitudes, and latitudes of citees and townes from on to a-nother of clymatz. (E71)
This lyne meridional is but a maner descripcion of lyne imagined, that passeth upon the poles of this world and by the senith of oure heved. And hit is y-cleped the lyne meridional; for in what place that any maner man is at any tyme of the yeer, what that the sonne by moeving of the firmament cometh to his verrey meridian place, than is hit verray midday, that we clepen oure noon, as to thilke man; and therfore is it cleped the lyne of midday. And nota, for evermo, of 2 citees or of 2 tounes, of whiche that o toun aprocheth more toward the est than doth that other toun, truste wel that thilke tounes han diverse meridians. Nota also, that the arch of the equinoxial, that is conteyned or bounded by-twixe the 2 meridians, is cleped the longitude of the toun. And yif so be that two tounes have y-lyke meridian, or oon meridian, than is the distance of hem bothe y-lyke fer fro the est, and the contrarie. And in this manere they chaunge nat her meridian, but sothly they chaungen her almikanteras; for the enhausing of the pool and the distance of the sonne. The longitude of a clymat is a lyne imagined fro est to west, y-lyke distant by-twene them alle. The latitude of a clymat (E72) is a lyne imagined from north to south the space of the erthe, fro the byginning of the first clymat unto the verrey ende of the same climat, evene directe agayns the pole artik. Thus seyn some auctours; and somme of hem sayn that yif men clepen the latitude, they mene the arch meridian that is contiened or intercept by-twixe the senith and the equinoxial. Thanne sey they that the distaunce fro the equinoxial unto the ende of a clymat, evene agayns the pole artyk, is the latitude of a clymat for sothe. And for more declaracioun, lo here thy figure. (F65)

40. To knowe with which degree of the zodiak that any planete assendith on the orisonte, whether so that his latitude be north or south. (E73)
Know by thyn almenak the degree of the ecliptik of any signe in which that the planete is rekned for to be, and that is cleped the degree of his longitude; and knowe also the degree of his latitude fro the ecliptik, north or south. And by thise samples folwinge in special, maystow wirke for sothe in every signe of the zodiak. The degree of the longitude, par aventure, of Venus or of another planete, was 6 of Capricorne, and the latitude of him was northward 2 degrees fro the ecliptik lyne. I tok a subtil compas, and cleped that oon poynt of my compas A, and that other poynt F. Than tok I the point of A and set it in the ecliptik lyne evene in my zodiak, in the degree of the longitude of Venus, that is to seyn, in the 6 degree of Capricorne; and thanne sette I the point of F upward in the same signe, (E74) bycause that latitude was north, up-on the latitude of Venus, that is to seyn, in the 6 degree fro the heved of Capricorne; and thus have I 2 degrees by-twixe my two prikkes. Than leide I down softly my compas, and sette the degree of the longitude up-on the orisonte; tho tok I and wexede my label in manere of a peyre tables to resceyve distinctly the prikkes of my compas. Tho tok I this forseide label, and leide it fix over the degree of my longitude; tho tok I up my compas, and sette the point of A in the wex on my label, as evene as I coude gesse over the ecliptik lyne, in the ende of the longitude; and sette the point of F endlang in my label up-on the space of the latitude, inwarde and over the zodiak, that is to seyn, north-ward fro the ecliptik. Than leide I doun my compas, and lokede wel in the wey upon the prikke of A and of F; tho turned I my riet til that the prikke of F sat up-on the orisonte; than saw I wel that the body of Venus, in hir latitude of 2 degrees septentrionalis, assended, in the ende of the 6 degree, in the heved of Capricorne. And nota, that in the same maner maistow wirke with any latitude septentrional in alle signes; but sothly the latitude meridional of a planete in Capricorne may not be take, by-cause of the litel space by-twixe the ecliptik and the bordure of the Astrolabie; but sothly in alle other signes it may.

Also the degree, per aventure, of Iuppiter or of a-nother planete, was in the first degree of Pisces in longitude, and his latitude was 3 degrees meridional; tho tok I the point of A, and sette it in the firste degree of Pisces on the ecliptik, and anne sette I the point of F dounward in the same signe, by-cause that the latitude was south 3 degres, that is to seyn, fro the heved of Pisces; and thus have I 3 degrees by-twixe bothe prikkes; thanne sette I the degree of the longitude up-on the orisonte. Tho tok I my label, and leide it fix upon the degree of the longitude; tho sette I the point of A on my label, evene over the ecliptik lyne, in the ende evene of the degree of the longitude, and sette the point of F endlang in my label the space of 3 degrees of the latitude fro the zodiak, this is to seyn, southward fro the ecliptik, toward the bordure; and turned my riet til the prikke of F sat up-on the orisonte; thanne saw I wel that the body of Iuppiter, in his latitude of 3 degrees meridional, ascended with 14 degrees of Pisces in horoscopo. And in this manere maistow wirke with any latitude meridional, as I first seide, save in Capricorne. And yif thou wolt pleye this craft with the arysing of the mone, loke thou rekne wel hir cours houre by houre; for she ne dwelleth nat in a degree of hir longitude but a litel whyle, as thou wel knowest; but natheles, yif thou rekne hir verreye moeving by thy tables houre after houre, (E75) [thou shalt do wel y-now]. (F66)
Explicit tractatus de Conclusionibus Astrolabii, compilatus per Galfridum Chauciers ad Filium suum Lodewicum, scolarem tunc temporis Oxonie, ac sub tutela illius nobilissimi philosophi Magistri N. Strode, etc.