# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/845634801:0334
# Permalink to this reading: https://leibnizlegible.com/page/845634801:0334?run=74
# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 328, page id 845634801:0334
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=334
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000334.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 71 lines, status machine
# Lines: 71 recognised, mean confidence 0.87
# 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.

Sic datum A punctum, dacae quoque
28
A punctum ducere lineam rectam lecan-
cem BC, DE ad angulosaequales. Si igitur
Fuerine parallelae BC, D E demirratur ab
A puncto perpendicularis urrivis ipsa-
rum, urravis secabitur ad angulos aqua
les, nempe rectos.
Sinon linc parallela, Conrenteul. Con- D.
veniancigitur in Ppuncto,
e secetur angulus D F B
bitariam a recta, quam
A C Cccer in C, ad angu-
losrectos, rectas verOBF,
D F in HI, I. Triangula
IsTUTHGF, IOF laceri-
bus e angulis lunc aequa-
lia, acque adco anguli qui
2d H, I; aequales. Dato
isicur A puncto per ipsum
ducta est linea HII secans D
datas BF, D F in HI, 1ad
angulos aequales. Ouod
Faciendum crat.
dua lincae rectae BL, VC. Opolu per
Daris duabuslineisrectis, e puncto, per datum punctum circulum de
R OB L E M A I
Sic dacum A punctum, aaCa quIOGuE DUIX LINCA FECLA BC, DL. OPorteEper A punctu
circulum delcribere, quem BC, DP. conringane. P er A ducarur HIllecans bC. lad
gulosxquales, eaque secerur bitariam in K, _ ip li AK ponaruraqualis H L, e per A,
puncta delcribatur circulus, quem altera
enim a BC, sICM, _ circuli cenerum N.
2 quo ducatur NO, Secans DE normalicer
in O. XE agatUENK. Ouoniam igitur seca-
cur AL bitariam in R ab ca quxe est ex cen-
cro, ideo angulus NKI est rectus. Con-
nectantur aurem NHI, NI. A qualesigitur
Tunc NHI, MI, quoniam perpendiculum
triangulis rectangulis N R HI, NK Icom-
mune NK. Sed_ batiSHI BASIRICOn-
sructa cA aequalis. Ergo aequales quoque
anouliNFM, NIO, cum Cinc rehduixort
ablacionem aequalium NHL, NILCX
requalibus constructis MHIK, OIK. Simi-
lia sunc icag; criangula rectangula N FI M,
XIIO. ac eriam aequalia cum Anx aquales
D
iplorum hyporenula. F.st aucem MIN semidiamerer, erir ica que NO quoque lemidiame
ter, quam cum secet DI ad rectosangulos, ideo Dl quoque circulum ALM CoM
Ergo descriprus est circulus AOM per A punctum, quem daix BC, DE in M, O conl
sun. Quod eracfaciendum.
Scribere, quem datae dux linex rectae Continonne.
dacarum BC, vel DE contingar. Dico
cundem à relletia conchnet. Comtaccus
Di
dar
dicc
peum
ime
pend
fentur.
M
etro eir
per
d
conci
perum
Ecenr
iceul
terr
cir