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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 438, page id 845634801:0444
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.91
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NID NTMEN ABYERSYS NOVA
iphusBC, e D HI duo decupl2 ip hus D C. Ouare exir E. FI carundem partium 48. DI
reromluL L. Immo minor 1273. Ouadrarum aurem à larere 48, eA 2304; ab5 13Ve
PROPOSEETOII.
Semidiametri circuli a
quadrararia diri(x parS
a CenErO ad quadrata
riam, major est media
proxorcionali incer semi
diametrum ex duas quin-
cas lemidiametri.
Sie quadrans circuli ABC,
quadrataria B D; CUmaEUE A.
aqualis duabus quincis sem
diameeri AB vel AC; media
veroproportionalis incer AL.
AC, AIEAF. DicO AD majo.
rem esse quam AF.
Fxiis enim, quae de quadra
caria a Pappo demonstrato
sune, semidiamerer AB (ci
AC, MC.
10, 169. Oux duo quadrata conticiune 2 473, non eclam 2500, quadratum à latere 50
Ouare lecta DE, cujus quadratum aequale est quaatacis F II, DHI, minor est 50. ACv
roratio50 2d 16, esrripla se(quiO CtaVA ACCUTaTC. KCalIO BitUED F. ad D P, minor est u
pla selquioctara. Ouod erat ostendendum.
Omnino arichmerica ram soiencia est quam Geometria. Magmeuandes rationales rationalibus nut
mmeris, irracionales irrationalibus commode desienantur. Oui per numeros magnicudines mesIuI3
suo calculo allas is deprehendic, quam re ipsa sinc, non arri sed artificis culpa est.
immo vero, ait eroctus, est de Bunlinn cerpi BesEeQ recopVExOlaS. Accurate suppuranii consticusa
diametro pareis unius, ambicus dodecasani inseripei fie latus binomia 2 = V 3888. Dui comtn
pronunciaverit, errat vel in mensuris Ceometra, vel in numeris Epilosista
ambieus autem circuli ad diametrum majorem esse cripla sesquiocu da. sicuii minorem cripla sesqtun
seprima non dubitavic hactenus machemaricorum schola. Id enim vele demonstravis archimedes.
igitur efalso Epilogismo inducendum fuie a ronmua oBanuOB aVES. Lineam rectam esse cireuta
isdem cerminis concentamajorem, contrarium sumente atMimede ex rs nocvris ervolas, es ip
eriam demonstrance Furocio, ac generaliter desiniense naolot  rui  nq a EX Xocov 3e a
enazis leo civas ro odciar.