# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851708439:0207
# Permalink to this reading: https://leibnizlegible.com/page/851708439:0207?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 183, page id 851708439:0207
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=207
# Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000207.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 recognised, mean confidence 0.87
# 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.

Eet
f26
C6.
Cap. XI V.
Adeoque
+
YC: Ccc + Y: 50CCCC = bbbbb0: + YC. CCC = Y: CCCCCC = bbbbbb.
seu VC. ccc + aad. + YC. ccc - dadd.
Oux est Regularum Cardani alcera.
Hujus Exempla extribet in Numeris,
40 = = 6a = aaa. a = VC. 20. +. Y 392. + VC. 20 - Y 392.
72 = = 24 a + aaa. a = Y C. 36 f V 784. = YC. 36 -Y 784. = 6. 
9 = = 6a + aaa. a = YC. 2 + Y .3. + YC. 2 = 1 02, = 3
hoc est a = Y C. 3 + 3. + YC. 3 - 3 =1C. 8. + YC. 1. = 2 + L =3
2. Si (in eadem FOrMA) C sic aequalis ipt b:
TUM prOPIer Y: CCCCCC =BBBBBB: =O: Hac parte eranescente EI
a = V C. c00. = YC. c0c. =c +6 = 26.
Emngue in his Tolurionibus (ut alibi) Sequitur Carsescus: (Sed absque ulla
indicatione quomodo hx Resula inveniantur:) Tub nomine Resularum Car-
dani. Ouarum inventionem Cardanus alcritit Scipioni Ferreo-
Num has Cardani Reculas noverit Hharriotus; mihi non liguer. Sed (sire
Tic, Tive non,) ab. iplius FTarriosi methodis perspicue derirantur, indeque de-
monstrantur; mulcum diverlis a Cardani methodis.
Neque mirum est, utrisque methodis ad idem perreniri. Sire enim Carsani
mechodo, sire Tharriori, lire mea post tradenda Tuo loco, sire alia demum qua-
cunque aut antehac reperta aur polthac reperienda, res exquiratur: eodem per-
vencum iri (modo reia (Ic) neceste cA, sem iplam _ spectemus; ucut aliie
rerbis, aliare nocatione delisveM.
3. Sed alius superest calus, ejusdem torma,
aaa = 30ba = = 25cc.
Nimirum, AC sic minor quam b.
Ouo calus 5556CC = b bbbbb erit quanticas Degatira; adeoque Y: CCCCCC
=bbbbbb: Padix quacratica nesacirae quantitaris; Duta V = d d d d a d.
Ouam itaque volunc este quancitacem Imaginarium, non Rcalem: adeoque l A
quationis hujus radicem non este in Speciebus explicabilem (secundum ullam hac.
tenus receptam Nocationem,) alirer quam admiciendo ejulmodi imaginariam quan-
riacem;
min a = VC. 00c + Y = a da add. L VC CCC = Y = d a d d d d.
Fstque hoc (quantum seio) ab Farrioto primitus derectum: quem in hoc (ut
in aliis) Carcescus sequitur. Nescio enim an quilpiam, LParrioro prior, oltende.
rie non posse hujusmodi aequationis radices (ulla recepta norationis TOrmA) Spe.
ciebus explicari, alier quam per has Imaginarias quantitates.
Oux quidem Imaxipariae quancitates, ubi occurrunt, haberi solent pro indieio
Casus Impotibilis. Atque sic docere Colent Algebrictae.
Non tamen pucandus est FCarriotus, hos calus ut impoltibiles centuiste. Nam
anre demonstrarerat (exemplo secundo sectionis quinrae) sEquationem hujusmo
dius Radicem habere fimativam Realem; (praeter, quas ibiomon quaerebât, Ne.
Fatiras dua5.)
Estque
+= L C L D R A.