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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)
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Cap. IV
+ 3 A - 7 = 1. d
A N G U L A R IB U 5.
315R9: + Y: 5 V5R9: = Y: 28. + 615: + Y: 20 - 215: p.
Y25 +Y3. + v.: 20 = 21 5. R, Subiensa sracluum 292, adteoque et praduum 168.
Hoc ettus
75. Si Subtensae Frientis, austae majore sui Seemento extrema e media pro
pertione secta: Addatur, vel Sabtrabatur, Subtensa Duintantis: Prodibit, Ad
dendo duptum subtensae graduum 268, 8292; Subtrabendo vero, duplum Sub.
tensae graduum 48, ∞ 372. Vel SC,
76. Si Majori Seemento Subtensae Frientis, extrema ex media proportione sectae:
Addatur. Summa vel Differentia, subtensarum Trientis e Duintantis: Prodibit
Duplum subtensae, casit Priore, sraduum 2688, 29Z; casu Desterire, eraduum
48, 8 312. Nam, Y:  t3 SR9: = Y: 3  33R4: -- = Y: 3 +15 3R4:
V5 
Y3RQ est Sumis Tubrensae Friencis (Y 3 R 9) auctae majore sui les.
er
menco sic lecta. EF Y: R9: = = RV  13, ell Semis subrentae Ouin-
TanCIS.
27. Tx Ouadrata harum Subcentarum, Suberacta ex + R Q; exhibent Ouadiata
Subentarum, Luarum a Semicircumterencia Ditterenciarum. Hoc clt, Gractuum 12-
_ 232 (quibus 268 e 48 deticiune a Semicircumterentia; _ quibus 192 e 312
CanCEM CxCCcUINC. ) Nam +2 = 18O - 168 = 792 - 18O. F. L 232 = 18O - 48
= 3F2, = 180.
78. Trem; Subrensa Biguintancis, seu gracuum 144, (quae etiam est Subcen sa
Friguincantis, seu Graduum 226,) Frience majoris; ponacur Z. = R Y5 F V5
Ex Subcen (a graduum 96 = = 216 - +20 = 240 = 744, DOnatUY A: Pt SubTen Ca
oradtuum 24 = 14+ = 120 = 240 =216 DOnatuIE F. ErSO (per 5 47. Cap. 2
L.9 - Z. A + A9 = Z 9 - Z F. F F. g = 3R 9. LE (PrOPTCF Z 9 majus quat
3R4) Z4 - 3R9 = Z. A- A9 = ZF = F 9. FE (Relolvendo A quationem)
32 =V: aZ. 9 - Z. 4 + 3R9: = 3 Z = V: 3R9 = 2Z. 9: (= A vel F
= 3 R YS + 15 + = R 19 = 315 -Y
5  V5
Y: 10 + 215: = V: 18 -6 15: R, Subienta pracduum ob si connectanur pec +;
vel eractuum 24 si ver -. Hoc est, priori cati V: 10. + 2Y 5: + Y 15 = 13P
e posteriori catu, V. 20 + 215: = Y 25. F 1 3R. Hoc cs
70. Si Sabtensae Biquincantis, Addatur, vel Suberabatur, Majus Seementum
Subienlae Trientis, extrema  media proportione sectae: Prodibit, Priore casum
Subtensa eraduum 96,  264; Posteriore casun eractuum 24,  336.
80. Fx per has iterum (subirahendo quadraca subrentarum suarum à 4 R g)
habemus Guadeaca subrenlarum Dilterentiarum Luarum d Semicircumterentia, sive
in Excessi live in Detectu. Ducas gractuum 84. = 180 - 96 = 264 = 180, e
Sradtuum 156 = 180 - 24 = 336 = 180.
8F Aeque Ci similiter comparemus reliquas quae 570 habencur, cum Subtenta
Triencis; Llabebimus inde Subcentas Arcuum hic sequenrium;
B0bb2,
Gradus