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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 326, page id 845634801:0332
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=332
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.93
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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SIHE dATA ErIA punCta A, B, C. OPOFFCE PCt
puncta A, B, C circulum describere. Iun
Santur puncta A, B, C. Ec quoniam non
existunt in eadem linea recta ex cautio.
ne adjecta Problemari, ideorriangulum
Fr, cojus apiceserun ipla A, B, C puncta.
Jeaque circa rriangulum AB C describa.
cur circulus. Id enim docene Flementa.
Per punctaisitur A, B, C descripeus est
circulus ABC. OuodFaciendum erat.
Lemma ad id quod sequitur.
Sit trianculum ABC, secetur au-
remerus AB in D. ita ut quod fit sub
AB, AD aequale sit quadrato cruris
AC, ex perpuncta D, B, C describatur
circulus. Ajo circulum DBC tansia
recta AC.
Sienim Reripollie, circulusnon ean-
BatuTa recta A C. igirur ab ea secabitur.
Sectio aurem eric in duobus punctis. (1
alcerum punctum F. Ouod Ec igicur sub
AD, AB erir xquale ei quod sic lub A C.
AF. HlOc aurem est ab surdum, cumx
querur ipsum quadraro AC ex constru-
ctione, A C, VerO eC A P. proponuncurin:
aequales. Recta igitur AC circulum
ABC non secabii, sed tangCE. Ouod etat
octendendum.
PROBLEMA II.
Daris duobuspunctis, et linca
recta, per data puncta circulum de-
Scribere, quêm data linea recta
COnTInSAE.
Sine data duo puncta A, B, e dat
quoque linca recta C Z. Oporterper A,L
puncta, circulum describere, quem lined
recta C Z. contingar. TunganEIIE A, B.
igicur AB fuerir ipH C Z Parallela, leca
bicur ABbitariam, e ad rectos angulos
in puncto D à recta secanre C Z in C,
cum perpuncta A, B, C describetur cit
culus, quoniam recta C Z ip si A B est P a
rallela, recta quoque CZ. secabitur à DC
ad rectos angulosin C. Traque circulus
ABC ranBeTUE a CCC2 C Z, in iplo
puncto.
Duod