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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 10, page id 845634801:0026
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10
IN A R Y E AE A N A L Y F E C E N
magnicudinum; ica estaca in cerminis sire purissire adFectis, ut omnes den-
cur praecer cum de quoqueritur, ejulre porestatem ee parodicos ad cam
gradus.
24 Denique requalitare sic ordinata ordinatore Analogilmo, lua munia
implerisse Z ccericen existimato.
Zecericen autem lubcililsime omnium exercuit Diophantus in iis libris,
qui de re Arichmerica conseripti (unE. EaMI VETO TAMGUAM PET MUIETOS,
non ctiam per species (quibustamen ulus est) institutam extribuie, quo lua
eset magis admirationi lubtilitas e Colertia: quando qua Logiltenumero-
C0 subciliora adparent et abAruliora, ea urique specioso Familiaria lune e
ctacim obria.
Y X
De Theorematum per Poristicen examinatione.
Erfecta Zereli, conterr se abhyporheliad chelin Analy Aa, COnCeptaque
Ine inventionis Theoremata in artis ordinationem extibet, legibus n
arros, au auro; nab ons rscoror obnoxia. Oue quanquam fuam habenEeK
Zeceli demonstrationem d frmicudinem; accainen lesi trnchescos, que via
demonstrandi cenletur nogmcoren, subjiciuntur: X, si quando opus eA, per
cam adprobantur magno artis inventricis miraculo. Reque idcirco repe-
cuntur Analyleosrestisia. Duod ec iplum Analyricum est: nCquCPFOpTeF
inductam lubspecie LBBilticen jamnesociolum. Duod li alienum proponi-
tur inventum, vel forcalto oblatum, cujus veritas expendenda ex ingui-
renda clE: FUMC Centand primum Poristices ria est, a qua deincepsad Lyn-
theum AE tacilisredies. _C ea de re prolata lunt a Theone exempla in Fle-
mencis, et Aposone LetsCo in Conicis, aciploetiam Archime de variis in
libris.
C A P Y L VII
Deofficio Rherices.
Rdinata AEquatione magnicudinis de qua GueFIEUE, pylixn n EEngulin
Qu reliqua pars Analyrices censenda est, atque potissimum ad arris
ordinationem pertinere, Cumrelique due exemplorum lineporius quam
preceptorum, ut Logicis sure concedendum est) luum exercet oficiumi
eam circaneLBS, lcC Magnitudine numero explicanda questio cst, quam
circa longicues, lu perticies, corporare, li magnitudinem re ipla extribe-
rioporteat. Echicleprebet Geometram Analycta, opusrerum efficiundo
post alius, timilis rero, relolutionem: illic Logistam, porestates quascumque
numero exhibitas, sire puras, src adfectas, relolrendo. Fcsire in Arichme-
ticis, sire Geometricis, artificii suinullum non cder specimen, secundum
invente equalitatis, vel de ca concepri ordinare Analosilimi, conditionem.
Feveronon omnis eRectio Geometrica concinna est. linoula enim pro-
blemata liras habentelesantias: rerum ea ceteris antefextur, que composi-
tionem operisnon ex equalitate, le d equalitarem ex compolitione grouie,
e demonstrat: ipla vero compolicio lciplam. Leaque artitex GTCOmeEra,
quanquam Analyricum cdoctus, illud dissimulat, e tanquam de operc esi-
ciundo cogitansprotert (uum linthericum problema, et explicat: Deinde
Logistis auxiliaturus de proportione vel xe qualicate in eo adgnica concipit
e demonstrar Theoreta.