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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. L. IV.
Radices,
Trem,
A L G F B R A.
= 78 = 106. Hoc est, + 28. = 184.
+ 74. +28. HoC ct, + 92. + 56.
XI. Si B = 7. 0 = 20. 4 = - 2, 5. f = 23. r = h. Aquationes erune,
Radices,
Ttem,
aa. = 35, 5 a = = 282. 8. a a = 16, 5 a = = 282.
= 17, 75 =5, 75. HIOc estu = 12. = 23,5.
= 8, 25 =Y 350, 0625. HOc cst, + 26, 96. = 10, 46. fere.
XIT. Si B = 77. 0 = 220. d = 65. 5 = 264. r = 1.- Aquationes Crunt
Radices,
Tremn
aa = 276a = = 6028. e a4 - 2524 = + 6028.
= 238 = V 13016. HOC CAt, =23, 92. =252,09. fere.
= 126 =248. HIOc cst, = 274. = 22..
XIII. Si b = 7. 0 = 24. a = 8. f =8, 5. r = 5. Aiquationes erun,
Radices,
Trem,
aa = 24, 5a = = 257,5. _ a4 - 26, 5a = - 157,5.
= 12, 25 = Y 307, 5625. Hoc et, + 5, 3. 8 =29, 8. fere.
= 13, 25 =4, 25. HOc est, = 17,5. 8 9.
Et Similiter in calibus aliis. Ouibus Fguras Facile accommodes.
Verum, Si recta C HI, BI, (positione datae,) sint Parallela: adeoque puncta
AF non habeantur, (quae ex luppoli
blema jam tic simplicius, nec nili duas radices admictic. Ouxe sic habentur.
Tunctam CB, secet, in C, recta DC expotuis paralela. Positisque ut prius
BI = a (quam praelumo ad ealdem iptius C. B parres cum D; adeoque E ad con-
crarias partes comringat, id indicabir radicis a valor negatirus:)  CHI = r a:
Dono BC =k, CC == 5, (quam suppono citra C; adeoque, E ulira Cn ralorem,
habebit negatirum,) e CD = 1.
t
1
Tum (propier parallelas) si suxponantur L, F, ad casdem partes rectae BC
erit
Ot BC, ad CC: sie BT =CH, ad GD - CHI.
Hoc est R. 8 :: a = ra . 1 = ra.
Adeoque R1 - rka = 5a - r 5a. HOC est, k1 - 8a - r 8 a + r k a.
Et
Sin Supponatur H ad contrarias partes: Frit,
Ot BC, ad GC: sic BI F CFI, ad CD F C. FI.
Hoc est k.
8:: a + ra. 1 + ra.
Adeoque kI + rEa = 8a = r5a. HOC est K1 = 5 a + r5a - rk a.
l
r8 = rk