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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2)
# Folio 873, page id 851708439:0897
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PRTGONOMEFETA SPHARICA.
Catrs 8 Tublequentes Tolruntur, ducendo ab extremitate (P) Lateris dati cathenum
ansulo daco (B) oppotitam; cumque addendo vel Tubducendo baleos legmenca, et
Vercieis ansulos, pro diverto cacheri casu incra rel extra Priangulum.
BP. PD. B BD, R. Z, B:: F, BP. T, BA (per calum 4. + a). Demde 2l. L. 0
(Per RCG. 2.) Zy BP. ZyB A:: Zy DP. ZyDA.
Verum hic ambiguum est an cathetus cacat intra vel
exera Priangulum; nisi Species LD (B. C. UtrUM SIE
acutuS an obcusuS) aliunde cognoleatur.
BP. PD. B  R. Z, BP:: T, B. FBPA. (per casum 3. 1 2). Tum
(Per R2C9. 4.) T, DP. T, BF:: ZBP A. ZGDP
Hic etiam Cacheri calus est incertus, nisi cognoscatur
Species anguli D.
R. ZyBP:: T, B. TBPA. (per Ca5. 3. 1A.) EF (per
RCG. F.) 2,B. Sy BF A:: Z D. Su D P A. I Si B, D
Eine similes, Anoulorum BP A, DP A, Summa est
P: Iin secus, differentia est = P.
B1. B. D BD R. Z,B:: T, BP. F, BA (Per C45. 4. 11.) et (pe
RCg. 3.) T, D. T, B:: S, B A. S, D A. I Si B, D, linc
Timiles
distimiles B A + D A = BD.
B. P. BD D R. Z, BP:: T, B. ZBDA. (per C43. 3. LA.) Fum=
(PCF RCG. L.) S, BP A. Su DF A:: =, B. Z,D
aCutUS
ObtSuS
BP A SC = BPD, acque B obcusus: erit D aeutus.)
aCutIS
ACUELS
Sin BPA sIt = BPD, acque B obtulus; exit D obcusys
B. P. BP DP R. Z, BP:: Y, B. FBP A. (per Ca5. 3. -1 1.) Deine
(per RCG. 4.) Z, DP A. Zy BP A:: T, BP. T, D)
timilis
Si DP A sic diltmitis L B: erit D P. = 90.
BP. BD. B DP R. Z, B:: F, BP. T, BA (per Ca5, 4. 11.) _ (pC
RC8. 2.) EnBA. EyBP:: ZyD A. ZyDP.
Si DA si
similis, distimilis (P A vel) LB: erIE PD - = 00
BP. BD. B D R. Zy B:: T, BP. T, BA. (per Ca5. 4. -B.) tum
(Der RC8. 3.) S DA. S, BA:: L, B. F, D.
bc =, = BD: ecic D similis, dictimilis L. B.
E F. M M A V.
Sinuum verlorum 2 arcuum Ditterentis du-
Eta in = R, Cst =S semisumma arcuum XS SC.
midifferentix. Sinc enim arcus AF, AF, Si.
nuum verlorum disterentia est AG AFT == FB.
_ SZ X arcuum =FO, ec S =Z arcurim = AD.
SCd AACD ZAF E B. ErGOAC. AD:: F H.
FB. EYBOLAC RFB = ADXFO.
Si BA
BD. B. D, P
AX LO M A Duarcum.
Rectanoulum lub linibus crurum Anguli, eit ad quadcatus Ldd, ut duCle.
tia Sinuum Versorum Balis e difterentix crurum, ad Sinum Versum AngulI.
Puta enim  BETa Solidum chartaceum supra delexiprum, sicque B ansulus qua.
SFFF5
Tieus;