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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 345, page id 175905688X:0367
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343
IEQVA TTONVM RESOEVTIONF
SLOUA ZFONES Cubicx omnes, et Ouadrato-
eN quadracae, + quae quidem _ ad Cubicas reducun- X Vide quae
cur, quarum radix duarum est dimentionum, Cem- habentur
Per ad aliquam erium sequentium Formularum redu- pas. 92. à
 Ci posune.
23∞ X - pZ -L. 9.
23∞ X.  PZ +9.
23∞ X - pZ 9.
In priori autem Formula, ubi 23 RquatUE = pZ F 9, regula
Cardani, cujus inrentionem Scipioni Ferreo tribuit, nos docetra-
dicem este Y C. + =9. + V = 49 + 5, P V C. 39 + V : 99 + , P3.
Ouemadmodum etiam (i habeatur Z3 ∞ L pZ F q3 in qua qua-
dracum semissis ulcimi termini sit majus cubo trientis quancitatis
cognita penultimi termini, similis regula ostendit radicem Fore
VC. + =9 + V +44- 2 P3 + YC. + : 9- V + 99 - , P3.
Unde liquet in omnibus Problematibus, quorum difficultates
ad aequationem hujus rel illiusformulae reducuntur, ejus aequa-
tionis radices, alias numero non explicabiles, semper hoc modo
juxta Caidani regulas per latera cuborum quorundam, quorum.
contentum coenolcitur, exprimi posse.
Deinde vero Li habeatur Z3 ∞ f pZ F 9, ubi = gq sE minuS
quam,: p3, ibi praedicta regula non habet locum, nec ejusdem
beneticio radix ullo modo incellisibili explicari porest, sicut inte
rius ostendemus. Oux quidem res olim inulex fuir caliginis, e
ut Scribic Albertus Cirardus in libello cui ciculus: Invention nouvelle
en l’Alsebre, qui annO 2629 prodiit: hoc est, in quo Autores hactenus
fuerunt valde intricati, es ut verum fatear in re quam maxime diffiili.
Flinc, quae huc spectane subobscura aut neslectâ demonstra
XX
tione
lir. 11 26)
que ad si-
nem ejus-
dem pasina.