# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851708439:0309
# Permalink to this reading: https://leibnizlegible.com/page/851708439:0309?run=74
# 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 285, page id 851708439:0309
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=309
# Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000309.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 69 lines, status machine
# Lines: 69 recognised, mean confidence 0.81
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

Cap. L. XV.
A L G F B R A.
Sumpris, nimirum, pro arbitrio B, C, sic limitaris ut docetur AP quat. 38, 39, 40. Caetera
sc procedunt.
20 HA = EBCHCC. B = 12BB -- 2BC , C. = 1 2DC = 2CC.
T2B- 2C
24, 26, 4 2 42X (=.
25, 26, 4 7 43) 2 (=
12 B = 2C.
T2B = 2C.
3a. + 3b + a = B. Fc, 22BB -CC.
22B - 2C
3a. + 30 + a - b - 0)6BB - 6BC - : CC.
24,4. , + 2 4+ R (= a + x
24 4. C 3) 45)F (= a +)
15,+ E, 12 46D(= b -.
25,4E, 13 47V (= b -)
4. 29 42 4348
E2DB F ZDC
22B = 2C
6BB - +BC F = CC
+2B = 2C
2BC. L CC
12B = 2C
6BB F 4BC F ZCC
+2B- 2C
126 -2C
A = 2BC f CC. X = +2BB - CC. Y = 6BB - 6BC - = CC
1 45, 46) HoC est, B = 12BB - 2BC. R = 12BB + 2BC. T =6BB - 4BC: + : CC.
1.
C = F2BC - 2CC. D= 2BC + CC. V= = 6BB F ABC f ZCC.
Cum communi denominatore 12B = 2C.
40 AA =gBBCC + ABCB + C. AA FBB = c4+B, 48B. C. t SBBCC ] +BC5L C1.
BB--14+B.- 48BC. + +BBCC. AA- BB- 144B, + 48BC Y ABC3 + C+
2 AB = 48BC F I6BBCC - 4BC.
Cum communi denominatore T44BB - 48BC + + CC.
SOKK = 141 B f 48B.C + ABBCC. KK + DD- 141B + 48B.C. t BBBCC- ABC fC
DD-- +BBCC ABC fC. KK DDF4AB + 18B.C, Y ABC- C+
EKD = - +8B. C + 20BBCC + ABC. Cum eodem communi denominatore
57IF = 36B. - +8B. C + 22BBCC 4BC + : C.. LP L WV = 72B. + 44BBCC+; C.
VV = 36B3 f40B C ] 22BBCC ] +BC +. (+. YT VV = 96BC 8BC.
eTD = 72B, -2OBBCC +; C. Cum eodem acthue communi denominatore.
1505+52AA + BB f 2AB = KK + DD f EKD = FF + WV + 2 TV = ; Ambic.
19505
= r4+ B. F 24 BBCC F Ca. Cum eodem communi denominatore.
532NB - 2AB, (= A A - BB in 2AB) =ZK D- ZRD =2FO-2TV3 = Arex.
= - 6922B C F 1344 BC3 f TT2B.C =4 BC. Cum denomina.
lore 20736B - 23824BC. F 3456BBCC -38+B0 + 16C.
Frujusmodi trinorum Friangulorum mulca Dellius extibet specimina; quorum deseri-
bant paurea. Obi en hp, est crus; F,m, 9. semi balis; s, n, r, alicudo, in suis respectire cri-
areulis: et a b; d; ce; altumpcorum quadratorum lacera; Dura au = bb = e; ec in
religuis similiter.
8
29
203
677 705
6082
802 - 8c
d8 2C
[278]F201X02
386336]590, 2
3
23:
709(660]259(22 231112  2153(2((14043 )= c2531 148077
Oui plura Dec apa Lem Bide quaerat, Pa5. 266, 267. Primum horum cum Schoo-
seni are. Carcesii numeris coincidil; quanum ad duo prima EiaBUa: tertium rero trian
sulum hi nesligune.
n
FA