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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 1, page id 845634801:0017
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N.
NYF
Lacet
V Y
De Definitione ex Parctione Analyseos, ex de iis quae juvant Zeteticen-
S F reriaes inquirendae ria quaedam in Mathematicis.
quam Placo primus inrenisse dicitur, à Theonc nominata
AnaVliS, e ab eodem detinita, Adlumptio quaeliri tan-
quam concessiper consequentia ad verum concessum. Ile
contra Synchelis, Adsumprio concessi per consequentia
ad qualici finem ex comprehentionem. Fc quanquam
receres dluplicem cantum propoluerune Analy (in Cym
alco in roorul, ad quas detinitio Theonis maxime pertinet, consticuita-
men ctiam tertiam speciem, qua dicatur eynuni Ehygnnuy, consentaneum
CA, ut Sic LCCtCC qua invenitur aequalicas proxortiore maonicudinis, de
Qua quaericur, cum iis quae data (unt. Poristice, qu’a de xe qualitate velproPOr-
tione ordinati Pheorematis veritas examinatur. Exegetice, qua ex ordina-
ca xequalitare rel proportione ipla de qua quaritur exhibetur magnitudo.
Acque adeo tora aes Analytice eriplex illud libi rendicans officium definia-
tur, Doctrina bene inrenien di in Mlachematicis. Ac quod ad Zcceticen qui-
demacrinet, instituitur arte Logica per (yllosilinos e enchymemata, quo-
rum firmamenca sunt ea ipla quibus xqualicates et proportiones conclu-
duntur lymbola, cam ex communibus deriranda nocionibus, quam ordi-
nandis ri ipsius Analyseos cheorematis. Forma autem Zerelin incundi ex
ALEC PEOPEIA CRE, nON jatm in nUIerIS (IIAI LOGICAM CXCFCCNEC, quIX fuiE
olcicantia recerum Analystarum: le dper Loristicen (ub specienoricer indu-
cendam, Feliciorem ulto ex poriorem numerola ad comparandum inter
se magnitudines, propolica primum homogeneorum lege, e inde con-
llituta, uc AC, Colemnimaonicudinum ex gcnere adgenus vilua proportio-
naliter adcendentium rel descendentium lerie (cu scalâ, qua oradusca-
rundem de genera in comparationibus delignentur ac distingiantur.
A B Y X II.
Dedmodus aequalitatum e proportionum.
mbola aequalitatum e Pportionum notiora quae habentur in Lle.
mencis adlumie Analytice  demonstrata, qualia lunefere,
B Si aequaliaxqualibus addaneur, cora esse aqualia.
4 Si aequalia aequalibus auterantur, residua ee x quali2.
Sixqualia per aequaliamulciplicentur, facta cAc xqualia.
Sixqualia per aequalia divictantur, orta esse aequalia.
Locum luis partibus aequari.
2 Sux cidem aequaneur, se ee quala.