# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 243, page id 845634801:0249
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=249
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000249.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.79
# 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.

1E, P
(eCUNC
EprOpO
deM.
unco
deP
C,
c
Con
in
E F R. E X.
Centro A intervallo AB, aequali dimidixe Z. describacur circalus: cui inscribacur BC
ipi L aequalis. Peoducatur aurem B C in D, Facta B D dupla ipsus B C, dE jungACUE D A
cui agacur parallela B E indeEnita: producarur eriam D B indefinire in F, dt ab A puH-
Ao ducarur ad duas BF, BF recta K A LG H; SecanSiptaS GC I D L, BL in punctis
la luncincer eas dux medix concinue propoans, l. Subtalenaum ctal.
dus, X aque altum; uc quod hc lub ditterentia balium iplorum e differen-
tia lyporenularum, a quale sic dato cuicumque recti. lineo.
Sit datum eriangulum rectangulum ABC, cujus balis AB, hyporenusa AC, altirudo
BC. Oporrer invenire aliuderian gulum rectangulum majus, ee xque alcum; ut quod tc
5, TI, Ita UEGHI BE AGUANSIPH AB; CCuIS VeTOM POHCIIS I. K, GuouM proximius
Pli HIGcI. Dico concinue propoltonales elle, L1V, C, BC. Quoniam enim constru-
Clae lunr parallela DA, BO: ideo esFuFHG ad HB, Ila CA at DD. LH duceM LHC ad LK,
licuc BC ad BD, uc simplum ridesicet ad duplum. Cate C   Aet tD, IC+ d BC.
Duoniam aurem CFI, AL sunC aquales, crune quoque LII, CA aquales. Frg O CstuF IK ad
ElB, ica HIadBC. Ab HI isitur puncto exrra circulum cunspio ecuelae lune dua recta
plum secanres, _e quod Aic tub excerioribus earundem parribus videlicer HB, FII, aequa-
eckei quod Ac sub incerioribus, vdelicet IK, BC. Ouare pactes exteriores permurarim
RAI PEX TUNE CONTINUIC PTOPOTTIOHAIESINEEF PAEEES INEEHIOLES, HEIHPE CTUNE COnFInUIC PTO-
Porrionales IIE, HIB, FII, BC. Daris isicur duabus lineis tectis L. L, id cAtIIE, BC, inven-
PAOEOSTTIO VL.
Oacotrianouto rectanoulo, inrenire aliud crianculum rectanculum ma-
ub distet
ainter AB de balin quaesiri, de differencia inter AC ec hyporenulam quae si-
aquale sic daco cuicumque recti. linco. Decur recti lincuurs Guoet HCID A C L 9u2
(UMATME
umque AD.    a a eltum cm e