# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851708439:0206
# Permalink to this reading: https://leibnizlegible.com/page/851708439:0206?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 182, page id 851708439:0206
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=206
# Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000206.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.80
# 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.

HeC
A L G E BR A. CaP. XL. 1.
=ccc = V: BbbBBB = CCCCCC:
= cec. + V: BbbbbB +CCCCCC:
BBbbbB.
aq
BBBBE
Adeoque, cum prior aequet cec; volterior aquabit =
cec
P intex quas bBb
est media proportionalis; ejusque radix cubica aequabit ..)
Et consequenter; valor ipsius a (= c -2):
VC. =CcC = Y: B0bBBB =CCCCC5. - 1C. = c5c. = V: bbbbbb = CCCCCC.
EAtque haec una earum, quae diei tolent Reculae Cardani. Hujus solurionis,
haec exhibe in Numeris, Exempla.
20 =6a. + aaa. a = VC: VY108 F 10. =YC. Y108 = 10. = 2.
26 = 9a = aaa. a = VC. Y 106 + 13. = YC. Y196 -13. = 2.
3 = 6 a + aaa. a = Y C. Yo F 3. = YC. Y 3 = 8. = 2.
hoc est, a = Y C. 2 + 3. = YC. 3 - 3. = Y5. 8. = 1c. L. = 2 = 2 = L.
ZIII. Aquationem aa a - 366a = = 2Ccc.
distinguie ille in tres calus: Prout c est Major, auc qualis,s aut Minor quam B.
T. Si c sic major quam B:
Tum, Bolico a = e c. +6b
Adeoque Hececeet3bbeecet3 bbbbect bbbbbb- + aaa
Fit
HIoc est
=3bbceec = 3bbbb ec = - 3bba: = +26cc.
e
cecece +bbbbbb = = ZCCCCCC.
Ceeece - ZCCCeCC== - bbbbbb.
Additoque (quo compleatux quadratum) c55C5C utrinque
Cecc = 2CCeCC= CCCCCC = = BbBbbB =CCCC56.
Vet (Proxter B minus quam C) pOLico + d d d a a d = + cccCCC = B83BBb.
eccecc = 200ceeC +CCCCCC= = ad d d d d.
Fc raclix quadratiea, cec =ecC = d d d. Hoc et eee = Ccc. + d d d.
Ft C = YC. CCc + add. = Y C. ccc = V: CCCCCC = bbbBbB.
bbbbbb
Tum, propter ecc. bbb. ec. concinue proportionales: Adeoque e. B. . Co.
enicis jam valoribus ecc X BbB: otendic  db bb = ec0 - Y: + cececc - 00b lbb:
=0c0 - 4 ad.
ee
Adeoque
(Nam A
mulciplicetur in