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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 129, page id 845634801:0135
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C. XBII
cur in magnicudinum climaeticarum ordine; quadearum cubo proxime luccedit, pro
Donitur aurem hic cubus adfectus urique sub quactaco, omnino aequaliras plasinacica est.
aliundere ellicta. est aurem adfectio illa adhemaca, quare plasma Fuir per addicionem
erientis B coëtticientis, prour conditio cubi, quae porestas es rationis eriplicatE, expo-
E, CrBOF =B valebic A: X consequentet, CCC ABSE = B cubus, adjunctus Colido ab5
dem E ip( A, per longicudinem B. Caale factum est quod oporruic.
Duod siproponicur agualitaspoleltats durecla per resationem directe, ucquum a
quag. - B in A2, aquacuTZ plano: vel A cubus = BII A Guad. 3, adequatur Z Colido:
A = B Racuetur essC C, X aequalicas de F, ex poltis velerens ordinabieur.
Si denique proponitur egualicas poreltaes Aetectx per negationem inverse, ut quum
A OY A TEON V V
Exemplum in cubo.
DRopOnamEA cubus :- B in A quad. 3. = D plano in A, aequari Z Solido: quoniam igi-
RCic. Adcollendum igicur plasma, hac expursacio diaericemorion: ex idcirco A i B eAto
B; in estingendum quoque abs E = D quadcacum, ac denique adjunctus (olido absL
plano in E =B, aquabicur Z Colidoper ea quae proponuneur. Aqualicasigicur de P. secun-
dum acrem ordinetus, omnibus rire peractis deprehenderur, P. cubus =L Dplano = B quad. 
in E, aequari Z solido = D plano in B =B cubo 2. Oux quidem nova equario pura est
ab adfectione sub quadeato, qua primum u ordedu Ge e oe (CCF
L, non pocerir A ignorari, proprer datam inter easradices difterentiam: praestar liqui-
Bin A2 = A quad., adaequatur Z planO: vel B in A quad. 3 - A cubo, adaquacur Z COli-
do: B - A saruerur esse F, e xequalicas de F, similicer ex pohris reltigiis ordinabitur.
que cubi, ad cubos adFectos talu D latere: adFecta qualitercunque
quadrato: adfecti qualitercunque quadrato. cubi, ad quadrato. cubosad.
draticas ommino expursabant, a sceliciter explicabane, in ulcerioribus
quoque climacticis aCCIdCFCUE MIHMINO ExPUESATONEE, d a Canonica pu
rarum re lolutione negocium oe Mechanicum derirare tentarune, adeo
obstinate, ut aliunde mecheltum explicandi aequationes a dFectaS, HON CX-
TEgMC CXEHHCIAEnNESe EruIE  bonashoraS Machematices quam cole
banc, dispendio absumplerunc. In Cumma mecho dus illa explicandi equa-
tiones adfectas quadraticas, Hon est catholica: catholica quidem est me-
chodus expursandarum aecationum adfectione sinsulari, lalra numero-
rum symmetria, Ced neaefectione omni, ur deinceps recerum pertinacix
Turacaurem de sinonssMiusmodire ductionum Formulis, lingula conce.
Pille Lheorehula, ec ea in arrem d ulum proferre, qualia lune qua le-
De reductione quadratorum adfectorum ad pura.
Formula tres.
A quad. + B2 in A, aequetur Z. plano: A -+ B esto F. Igitur P. quad.
aequabiur Z plano + B quad.
Consectarium.
LEaepC, V Zotom 2 Bquad. = B HEA, de qUA PFiUM QUXFCBaTUE.
Sit BI. Z planuM 20. AIN. 2Q F 2 N, aequatur 20. 87 fit L N. N 21 - 1
Sic guadrata omnia adfecta, reducuntur ad pura: adFecti qualitercun.
quadrato. quadrata, ad quadrato. quadrata adfecta duntaxat lib latere de
rectos duncaxat sublatere, quadrato e cubo: _ eo deinceps ordinc.
Credebant aucem antiqui, quosa hac reductione, aequationes qua
quisierint.
non sicintraerendum.
CsALIMCUE.