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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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0
Cap. XI.
AN GUL A R TBHS.
Ergo (factum ab exeremis Facto a mediis.)
4dr = 8Ire + 4Ve + 4r e - 8re + 40 = Ir + 4 re e = 2. r e.
Adeoque 37, = - 8Ir C - 6r e + 41e = 4c =0.
Et (ductis omnibus in 3Y)
9P r = 24 Pre = 28Ir C = T2. P e + +210 =0.
Seu 9P r = 24 P re = 18Ir C = - 12 P e - 2210.
FL (addiris utringue X6P C F 24 103 = 9 et)
Op r= = 24 P r0 = 181r e = 26V 02 = 241 03 + 9 et = 4 V e + 1210 +9et..
Et (Tumpris radicibus) 3Ir - 41e - 30 = 210 + 30.
HIOc Cst, 31r - 61c - 6e = 0. Seu 3 Ir - 1e = e =0.
Et (resolrendo aquationem)
V: 2 Ir. + R2: - 1
Ir +B, = IY: 2Ir. + P:
Estaurem (ut supra ostentum) a = 2r e - e.
Sed et (proxter Parabolam) at =  + lc.
ErBO 2rC = e = P f le. HOc est 2r 0 = c -f 1e f P.
Seu (propter ralorem e modo inventum)
V. 2 + P: - 2 (-  +P, = W. 21 + P: W. 2r + p: - P
HIOc CA, 2r V: 2Vr = r: = 2Ir. =rr. L 2V.
Sei ZIr = 2P = (2r V: 2Vr f P: =) V: 82B - q. P r2.
Et (sumpris quaceatis) 9Vre = 12 Vr. + 4. N = 81ro + 4. P qu
Adeoque OIr F F2 P r = 4 B = 8 r3 f 4Ir2.
HIOc Cst, 8r - 5Ir - +2 Pr = 4B = 0.
Oux quidem Aquatio Cubica, ordinata de resoluta, extrihet r=
YC: 574F + 961243. =V C: 5742 = 961242: 1. Quod erat quaesitum.
Et quidem, Si Donatur latus rectum l =L; erit circuli radius r =- X. 68863)
proxime.
Fieri Forre Porest ue ad hanc (vel similem) aequationem, paulo expeditius per.
veniatur. Sed haec sufticiant raprim scribenti. Vale.
188E
1F21