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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 357, page id 175905688X:0379
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# Lines: 44 recognised, mean confidence 0.88
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er 12
cautu
quadi
e de
A OUA ZLONUM RESOLUFTONE.
13527
Sam ullo numero exprimi pocuisse, sed eam hoc calu denotandam
elle per rectam datum angulum vel arcum in tres aequales parres
diridentem, vel alio denique modo, ut intra oltendetur.
UElis exempli gratia, Proponatur aequatio x3 ∞ 24. 3 X = 1215,
TCux3 B ON X -- 243 X =- 7215 ∞0, qua cum praecedenti modo
diridi nequeat, pocerit neque ulla ex radicibus tam vera quam
Falsaullis numeris exprimi, nec minus per latera quorund2n cu-
borum, quorum concentum cognolcitur, ut docet C ardani reou-
I2. Ouandoquidem ad illam rerocare non licet, cum hic cubus
trientis numeri radicum major sie quam quadratum Femissis pu-
meri absoluri. Adeo uc radix ejus per sectionem anguli in ErCS
Xquales PaFEeS SIE denoranda, quemadm Odum INHHIE AIBCrtUS
Cirardus. Nimirum describendo circulum cujus radius F FT. seu
HIKlic9 Ceur: P, in eoque adaprando rectam LC a qualemm 15
Tcu2, acque tritariam porro secando arcum CK seu angulum
OFI per rectam FL, quam aic veram quancitatem iplius radi-
eis n exprimere. Ubi praeterca, sicenero FI interrallo rectxe L. H
arcum descripserimus secantem iplam FL in M _N = vel quodui in fis.
idem est a puncto L. eriangulum aequilaterum circulo inscrip seri- Pas. 343.
USL MN 2, recta FM _ F N urram que Fallam quantieatem ? ut in fis.
radicis x delionabunE.
Ouodidem cum D. des Cartes in eundem fere modum licebit
exlequi. Videlicer, (i, 3 interrallo rectae FII vel TIK ∞9 PCu V ; P 3 ut infis
describatur circulus, in quo, in scripta recta F G D Z5 Peu  2, ac- P8. 350.
CuSFMO _ FN Ctritariam POrTO SECENtE, per rectAS FM eE
FN, quas inquie simul sumpras radici qua sitx ene x quales.
Sin aurem ejuldem aequationis radicem juxta modum Vietx
exponere lubeat, Oportebit duo criansula aequicrura concipere,
cruribus alterum alteri aequalia, quorum secundi angulus, qui cst
ad balim, eriplus sic anguli, qui est ad balin primi, ec intellisere
basn quidem secundi esse 7 = Teu =7; crus vero esse 9 Peu V = P.
 autem, de qua quaeritur, esse balin primi.
Duod ut cuiris obrium sic, supponamus criangula illa esse
ABC, ec C DE, quorum crus quodlibet AB, BC, CD, vel
DE Sic ∞ a. e balis lecundi C F. ∞ b: Oporteatque invenire balin
Primi AC ∞ X.
lo
Pa5. 350.