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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 136, page id 845634801:0142
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136
DE F M E N D A F FON
Consequenter oporret Colidum adFectum adjunctione cubi reducere: omnia divi-
dancur per A- L L. IBicuE, A quad. = F in A + F quad, aequabitur B in A = F.
Innorescar aurem P. esse D ex analysi, atque adeo ordinetur quadrarica aequario.
Ergo B in A + D in A - A quad., aequabitur D quad. - L B in D
Aguario igitur inverle negara, in adtirmaram eju ldem ordinis cransmurata est, ica uE
data radice nove aequarionis, sac irregularis descenlus, in depresiorem, quod opus di-
cirur anastrophe, dc Faciendum erar. Einc ordinatur
I A E O R E M a II.
TB in A quad. = A CuBO, aeguetuE Z TOlido, _ P cubus i- B in F quad.
aequetur Z Colido. P. autem innotelcat eNe D. D + B in A = A quad.
aequabitur B in D L D quad.
7O- 1C, aequatur 36. igitur 7 Q F L C, aequatur 36. e fit hic FN 2. quare 9 N = + 9, aqua-
bitur 18. es ista LN, est radixprimum quasita, e fit 3 vel 6.
Sccundo ad anastrophen quadrato: cubicarum.
P R O B L E, M A ITI.
DRoxOnatuE B plano. planum in A - A quadrato. cubo, xquari Z plano-
ABF -- A estingatur quadearo quadrarum, singularia cAi ct a plano plana simpliciter
Cumpra nec reperica, erunc F quad. quad. - A in E cubum i A quad. in F. quad. - a
cubo in F. F A quad. quad. Ducantur in F. F A, Ec F. quad- cubus. F A quad. - cub0.
Ac exiis que proponuntur, A quad. cubus raler B plano planum in A- Z. plan. (0-
lido, quare F. quad.. cubus r A quad.. cubo, aquabirur L. quad. cubo ; B plano. pla-
no in A = L plano. solido.
Veraque pars applicerur ad F. -= A. FX prima igitur sequarionis parre oritur, P. quad.
quad. = A in E cubum + A quad. in F. quad. - A cubo in F. F A quad. quad. ut rario
compolicionis indicat.
Ac quid oriatur ex secunda non liquer: Sed lane comparetur cali plano. solido, ut
Plano- planum orrirum non posticionorari.
Ouare B plano planum in E. F B plano plano in A, aequerur alceriejus paeri, videli-
cer, F. quad.- cubo. + Bplano. plano in A -- Z plano- solido.
Ergo delera urrinque affectione sub Agradu, et Lacta congrua anrirhesi, F. quad. -cu.
bus = B plano- plano in E, equabitur Z plano. Colido.
Ex quum innocelcer E. este D: pronunciabimr D quad. quad. = D cubo in A f D 9.
in A quad. =D in Acabum. F A quad. quad., aequari B plano. plano. de aequalirare le
cundum arrem ordinata. D cubusin A = D quad. in A quad. + D in A cubum - Aquad.
quad. aequari D quad. quad. - B plano. plano.
Facta ettigirur analtrophe sicurimperabatur. Ninc ordinatur
T E E O R E M A III.
CFB plano- planum in A = A quad. - cubo, aequetur Z plano. Colido, _ F
guad. cubus =B plano-plano in F, RGLetUT Z Plano. Colido. P autem in-
ROTesCaL eNCD: D cubus in A = D quad. in A quad. F D in A cubum - A
Quad. quad., Xe quabicur D quad. quad. -B p lano. plano.
A-
Leitur 1OC- 1L N, aequabitur 10. 8 hic fit +N 2.
4B. + 2C - 1mabitur 5. es ista i N est radix primum quae sita, e fit 1.
PR OBL E M A IV
EPeponatur B in A quall. Suac. = A quad.- cubo, Xquari Z. plano 10-
lido. Oporterrurtus anastrophentacere.
Ergo per congruam merachelin, et F. quadraco. cubi communem adjunctionem A quad.
cubus
Ouare
Tolido. Oportecanaltrophentacere.
lIN- TOC, aequetur 10.