# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 365, page id 845634801:0371
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=371
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000371.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.84
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

8
108
Dem
det
erit
B sexlet
set
Iea
RE SPONSORYH. LTBER VITL.
365
CA P Y F VIII.
LCespb Eet Ca7Cd1d 30.
DEid sic, 3auun ZrearaSd,  quisejus esfectus, quaere miracula
PROPOSTTTO I.
Duadrataria hyporypolin exhibere.
Sic A cenerum circuli, B C quadeat corius circumterentix, AB, A C semidiamerri
Orthogonix. Seceruraurem BC. in Paltes quorcunque aquales, WEpOte lex BD, DE, EF,
FG, GFI, HIC, _ agantur seiameTI AD, AF, AF, AG, R. HI. SecetuT quo-
que B A in parres corideni nempetea, a sincillae BI, LK, H L, L.M, MN. NA, e ip(i
AC aganEDE PaTallela IO, KP, L.G, MR, NS, secances SemidiaeETOS AD, AC, AF, AC.
AH in punctis O, P, O. R, S. Lorro incelligatur duci linea per puncta B, O, P, O, R, 5,
e cadere ad A C in puncto Punitormiproscestu, nempe ur cum semidiameter BA e
ey 25 nuxN8 vcreyod C roui, ica expendo.
circumferentia BC Cecabuncur similicer, illa in V haec in X, d per V acta ivsI AC poFAI-
Dela secabit AX in Y, cranleat BP Per V, acque adeo cum ad punctum B deleribetur ipA
AC parallela BZ, ec movebirur illa per lingula iphus BA puncta co iplo rempore d uni-
Kormi motu, quo semidiameter AB circum agic BC, linea B T cranleat per puncta lectio-
Num iplarum BZ, BA caliS BF est r egpn rer ea rcri E sou seu (quondoquidem quodrata-
eii voce uritur Sidonius Apollinaris) quadcararia, cujusprincipium B, Einis T. puncta p2-
CodicaO, P, O e Crmilia, incidences à cenero ad quadracariam AB, AO, AP, AC ee (-
miles, quarum maxima est AB semidiameter, minima AT.
P R OPOSFFZO II.
Si ex cenrro circuli incidane in quadratariam linex rectae. e à puncto
Incidentix demictantur in diametrum, in qua delinie quadrataria, perpen-
diculares: demisxe sune similes angulis quibus ilIx subEendunEur.
Sic A cenrrum circuli. BC quadranscorius circumferentix, AB, AC semidiametri Or.
logOnIK. ETadBC ABAHEUTAd quACUnqueD, E. puncta circumterenciae semidiamerri
AD, AF,