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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 240, page id 845634801:0246
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.93
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# After the first blank line: the recognised lines in reading order, one per line.

R A L C ISCI VIF L A
C L L XC
F OMF TRI A.
P OS FV L A F Y N.
D suppundum Ceometriae defectum, concedatur
Rquoris puncto ad duas qualris lineas rectam ducere,
ncerceptam ab iis peaetinico possibili quocumque inter
leomento.
Y+ cum alioqui ad educendas lineas rectas praestituenda essen
reculariter duo puncta, hic secundi puncti prasticutionem sup
plear praefinita inter duas lonsitudo.
Hloc aurem concesso conceditur
A quoris puncto ad duas lineas rectas concurrentes e indefinire conti
nuatas, aliam insuper lineam rectam ducere, ab iis inter ceptam longitudi.
ne quacumque.
Tem. A quoris puncto in area circuli rel circumferentia SIgnAtO, a
quamris lincam rectam cum circulari concurrentem ex indetinite conti
nuatam, aliam insuper lineam rectam ducere, interceptam longicudine
guacunque.
Et opus quidem illud videtur absolvisse Nicomedes sua conchoide prima, hoc su
conchoide secunda. Postulatum autem omnino admisit Archimedes. At idem
proposuis parabolas ex helicas describere, immo etiam helicas tansere.
Ac descriptione quidem belices, fit ut linea recta ad lineam rectam, it a an su
lus ad anculum. Ieaque describitur intra vel circa circulum polyconum quodeum
que. Sed non ideo scitur laterum quae arcubus subrenduntur ad diametrum; vel si
ter le, rario. Maenicudo aurem tunc demum data intelligitur secundum analyrict
principia, cum ita exhibetur re, ut quemadmodum inter homogeneas ad fecta sit
innotescat.
guod aurem tactu helicis proposuis archimedes, exhiberi lineam rectam est
cumferentia circuli aequalem, non saris constat. FXhibet sane lineam rectam majo.
rem ambitu cujuscumque polysoni circulo inscripei. minorem autem ambirucujus
cumque polysoni circum scripri. an igirur circulari aequalem: Exhibetur ancull
minor quocumque obtuso, major vero quocumque acuto. anigitur rectus? Si vet
Archimedes, fallacirer conclusit F.uclides. Sed haec commodius disceptabuntur po)
tradita analyrica anrularium sectionum.
PR OPOSFF1O I
E dux linex rectae ab eodem puncto extra circulum eductx ipsum iC
cent, una per centrum, alcera secUS, Pars aurem exterior ejuS qua al
CituI