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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 12, page id 845634801:0028
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12
IN A R Z E MI A N A L T ZTCE N
27 TRMUMerISHOMOSCHER COIPATALIONUI LIIMEUItaTCS.
18 Cumradix; de qua quaeritur, in sua base consistenis datae magnicudint
homogenex comparatur, aequacio est limplex abloluce.
29 Cum porectasradicis, de qua quaeritur, pura ab adfectione datx homo.
SCnCK COmparatUE, aequatio CA simplex Climactica.
20 Cum porestasradicis, de qua quaeritur, adfecta sub delignato sradu e
duta coefficiente dacx magnicudini HOMOSCMCX COIPATaTUF, A. quatio po-
Iynomia es pro adfectionum mulcicudine de rarietate.
21 Ouorlunt oradusparodici ad porectarem, toradectionibus potestas
Porelt implicari.
Teaque Duadratum porestadhci (ub L aFCFC.
Cubus sub Latere d quadrato.
Ouadrato. quadratum sub Lacerc, Duadrato, et C ubo. Ouadrato. cubus
sublacere, Duadraco, ex Cubo, ex ca in infinitum leric.
22 Analogisini a generibus A. quationum in quas incidune reloluti, distin.
SUIMMEUIEEE NOenClaTUTaM aCCIBIMNE.
23 Ad Fxegericen in Arichmericis instruicur Analycta cdoctus
Porestatum porro quarumcumque, sire purarum sire (quod nesciverune
veteres atque nori) adfectarum, tradie Arsrelolurionem.
24 Ad Fxeseticen in Creometricisseligic d recenser eRRectiones magis ca-
nonicas, quibus aequationes Laterum ex Ouadraroru omnino explicentur.
25 Ad Cubose Ouadrato quadrata postulat, uc quali Ceomerria sup.
pleacur Creomeerix defectus,
A quovis puncto ad duas quasvis lineas rectam ducere interceptam ab iis
praesinito possibili quocumque interseemento.
Hloc concesso (est autem aiquas non dusunxavor) Famoliora, qux tacte.
nus ssozae dicta Fuere, problemata Colric errezucos, melooraphicum, lectio-
nis anguli in tresparces aequales, inventionem lateris Hleptasoni, ac alia
quorcumque in casxguationum Formulas incidune, quibus Cubi Colidis;
Ouadrato. quadrata Plano. planis, sire pure sive cum adfectione, compa:
FaREUE.
26 Ecquis rero, cum magnicudines omnes sine linex, supersicies, velcor-
pora, cantus proportionum supra triplicatam, aue demum quadcuplicatam
rationem potest ese ulus in rebus humanis, nisi forre in lectionibus anoulo.
rum, uc exlaceribus Asurarum anguli, vel ex angulis latera consequatmur.
27 Ergo a nemine hactenus adgnicum mysterium angularium sectionum,
sire ad Arichmetica, lire Gcometrica aperit, es edocer
Data ratione anculorum dare rationem laterum.
Facere ut numerum ad numerum; ita anculum ad angulum.
28 LinCAM FECtA CUEVXNON ComparaE, quiaangulus est medium quid.
dam inter lineam rectam ex planam iguram. Repugnare itaque videtur
homogeneorum lex.
29 Denique talcuolum problema problematum ars Analytice; triplicem
Zecerices, Poriltices e Exegerices Formam candem induca, jure libi adeo-
SaC. DuodCst, AIN LLYH NON PROBL E M ASOL V ERF.
Numerum numero addetc.
Numerum numeto subdacere.
Numerum in numerum ducere.
Tumerum per numerum dividere.