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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 248, page id 851708439:0272
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A _ C E B R A.
dp. L XI.
75. Hoc est; Reduetis omnibus ad communem denominatorem (An n in M a
F V: 8n a2 = +2 In a a - = m m a a F 4VIn:) eoque Tublato;
4mmnna  4mnnV: 8n a = +2 In a a  mm a a f 4. VIn: =
524.mn a = 36Imn a = 4m a - 8n a = L2IIm n a = 8In a:
EDluS: 8n a = +2 In a a F 4. m m a a = 4. 1Jn, in V: 8n a  - +2 ln a a t mmaa.  AIl.
76. Et (traniponendo q. m mnn a)
24 mn a = 36Im n a  4 m a= 8 n’ a F (2IIm n a = 8I n a = 4 m n a-
8n a + T2In a a am a a 4VIn + a mnn: in V. 8n a2 - = 2 naa  m’ aa l 4Un.
27. EL (aequalicer vrinque dividendo) dai s seiet custs
24mn a = 36Imna + 4m a = 8n a F =2VImna + 8In a = 4 m n a
end +12lnaa ammaa 4uIn + 4mnn
=V: 8n a = =2 In a a F m ma a + 4Iln.
28. FL (abbreviando tractionem per 4)
3Iiset L1S IB CIOC
omna =oimnai + m a = 2 n a F 3UImna 2IWa = mmnna (A.
Lna F 3tMaa=M Itn Mnn
=V: 8n a = +2 In a q. + mma a. + 4VIn: (Y: F. 4.)
10. Tum, verinque quadrando, (quo tollatur noca racticalicatis;) pula
K. a = F q. Trerumque restimendo mulciplicationem, A. g = A g X F. g.
19
20. Sicfet A9 = 4 nn a = +2 Inna = ammna F 13Vnnae =oImmna
+ m a = 4 m n 3 a = 61 n n a a = 21 M M n ∞a + 6l m W a a = 2 m n n a a
+ 12nn- 2 lVm n + m m N.
2F. EEEg = Bna L T2Inaa Lmmaa F 4Iv.
22. Ft factum ex his, AgXF 9 =
32 n’ a 2 = 244 a = 264 I a = 252 2 n a + +321 n a - 36P n’ aa + 4 len
+ 36 m n = 208Im n + LT7 Im n- 54Pmn + Obm n- 8bmn
EHon = Lolmn + Oumen + 48lmn + aumn
32 F Son-04Umn= ToUmn
 30m n = Z2 Im  13 0
2Om n = 2wn + mere
 8m n
36 m n a = +08 m n’a =. L27 Um n’a = 54 Pm n’ a + 9bm n’ aa V
 22 mn
6Umn
t
L
mo
= 28Imen + CUmn F T2BMn
Bohmut
m
26m n
L 22. Men
8In
2 Mn
+ 4m v
4.n
25 EC A9-
24. M1
+ 4. n
4M 1
 men
=48 lm
24. Cum itaque sic A 9 X F. 9 = A. G; Tublato hoc ex illo, restat.
32 n a - 244m a  f 264U ad  25 2B n ad  232V1 a = 36P. n aa + 4 Pe 1 =
8mn + 36Imn- soumn + 36l mn- 8ann
mn + eImn = 4mn + aumn
4 + 8n - 4Un
 4mn = 8m 1
midituline 0.
25. Omniaque diridendo per 32. n
1 + 33a = 8 a f 33 A a = 8P aa F 8 
mn = 3mn - d Umm + 3Bmm = = Vn
FM. +
21 +
ZIm
EIm + Umen
M = Z IIm
 3mene = = men
20. POHtO.
2. 416