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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
AN GULARTBUS
88. Sed, Quando Areus Simplus, est uno Duintante major, sed minor Duobus,
aut major Fribus, sed minor quam Quaruor: Subtensa Dupli, major est quan
Triph.
80. Adeoque, S Subtensa Simpli Sic N; tum C q - Bg = N F, erit quancitas
Negatira.
90. FF Similiter, Si subtensa Simpli SIEL:
cum erit C.9 -B9 = L. F quantitas NCga.
civa.
OT. OE isicur tianc tam L, NV, quam F, AHF-
matirx: Aiquationes sic crunt ordinandx
B9 - C.9 =- NF, eB4 C9 --T. F. Oux l
ita ponantur, reliquae Fres Radices, crunt NC.
Satira.
92 Sed, (F18. 29) si areus Simplus, sit ipse
Duntans, (aut Duo, Fres, pluretre Ouin-
TancCS,) subtensae Duphie Triph, squales e-
rant. Adeoque (posico V vel X pro Tubtenla
Simpli) crit C9u B9 =V F =0. _ C90B9
=ZF =0. Subcenta Ouincupli (hoc catu)
eraneleente.
93. Ouod autem pro ArCubuS A, E, M, Subtensa Pripli major est quam Duvsi
(TalTem NOn minOx;) Led contra, pro Arcubus L, NV: eA, consideranti, Patis ob.
rium. Nam, S AECUS A, vel F, Sic GradtuU FO; erit B20, C, 30: Si A FIt 20
exit B40, C60: Si A (ic 40; erit B80, C +2O: Si A (IC 6O; CFIL B F2O, C 180.
Acque hactenus nihil est dubii; quia nondum cranlivimus semi circum serenciam:
e donec eo pervenimus, prout crelcunt ArCUS, creleunt irem Chorda.) Si A sit
70; erit B140 = 180 =40, C 210 = 280 f30; Adeoque Chorda arCUS C, UEUL
semi circumterentia majoris, major est quam Chorda arcus B, quiaminus distar ille
2 Semi circumterentia, seu gradibus 180; (nam hie minus excedie, quam ille deti-
cit.) Acque lic, donec derencum est ad grad. 72 (Teu = corius) pro areu Sim
plo: cum vero est B 144 = 180- 36, _ C 276 = 180 f 36; ubi Distantix d Se-
micircumferentia lune aequales; adeoque et aequales Chordae. Sed postquam pra
cergressi sumus Ouintancem; Chorda Pripli minor tic quam Dupti. Nam Si Sim-
pluo ArCuS SIC N = 5 F P. = 73; exit B 146 = 280- 34, C 219 = 180 + 39
qui itaque magis excedir r80, quam inde deticit B; adeoque minorem habet Chor-
dam. Similiter; Si arcus NY FIt80; eric B 16O = +80 - 20, C 240 = 183 7 60.
Si N Sic 90; erit B 180, C 270 = 280 f90. Si N(IC ZOO, erIEB 200 = 580 f 20
= 360 = 260, C 300 = 180 7 120 =360 --60. Vbi Friplus remotior cAt &
Semi circum terentia, urpote eam magis excedens; ec provior ad integram Rerolu.
tionem (aux nihilo aequipollet) vepore ad eam masis appropinquans; adeoque
Pripli Chorda minor est quam Dupli. Sic si N vet L Fit 108; Bell 216 = 180
+ 36 = 360 - 244 C 324 = 360 - 36 = 180 + 544. Si L. = ; Y A FIE 120,
Crit B 240 = 780. f60 =360 = +20, C 360. Adeoque arcus B Chorda major.
Arque sic eric donec derenum sit ad gradtus 144 (seu 3) ubi iverum tiunt xqua-
Bbbb:
des