# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 235, page id 845634801:0241
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=241
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 66 lines, status machine
# Lines: 66 recognised, mean confidence 0.82
# 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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# After the first blank line: the recognised lines in reading order, one per line.

ab latert.
oportion
eia exti
losrect
e1aS.
CCNO
orciret
reuit. L
tei
tID.
1ando3
aq
29
B
MF
Dt
C A N ONFCA RE C E N STO.
nale elle lurer quadratum ex BC _ idem quadratum ex BC plus quadratO ex AC.
QAOMIAIH CNIM PTOPOTIOMATESIHEBA, OB, BC. IdeOPFOPOTHOHAII QuOquE lunE
ex BC. Iplum aurem uaa Peepelaoe aC P
QuAdraEOCXAC.
rectanguli ex perpendiculum proportionale est inter quadratum hypore.
nula ee quadratum idem hypocenula mulcatum balis quadrato.
CUM RIRE PEO-
portionalia (ur jam
aduocaru est) qua-
deatum ex AB, qua-
dratum ex BD
et
quadrarum ex BC
Iplum aurem qua
dtatum ex BC PC
incerprecationer
sic quadcaritur ex
AB imitus quadraco C
er perpen
quae ab eis tunc quadeata, videl Cc sctacrat CL AB, quadratum ex DB, de quadrarum
Idem quadratum à media proporrionali inter hyporenulam crianguli
b ASECTA R F V. M AD HIL CA A N ECE X
quadrato. quadrari adfecti sub quadrato
Itaque, Si A quadrato. quadrarum, plus B quadrato in A quadratum, aqaetur
Quadirato quadrato. Intellitetut D dases Ertancult rectansuli. Dmeala inter
perpendiculum ex hypotenusam. E+ ex media ex base; quaretur A perpendiculum.
Dehiic ex daris AC, BD, quaeretur BC. Cum ex relolutione expoliciprimo locoana-
ogilmi, quadcaco. quadrarum ex BC. plus prato. Pan uo Guactato et AC. d quadrate
ex BC, aequecur quadraro quadtato ex BD.
m, minus B quadratoin a quadradum aguocat
E6 si A quadrato- quadr.
diculum es BpOt
quadrato quadrato. Pursus D intellicerur basis trianculi rectanculi, Dmedia in-
usam. Et ex media e base, quaretur Ahypotenusa.
rehic exdaris AC, BD, quaeretur AB. Cum exrelolurione expoliri secundo locoana-
Oeismi, quadraco. quadratum ex ABminus plano. plano sub quadrato ex AC dc quadra-
TO Cx AB, Zquetur quadrarO- quaaTaIO CX BD.
P RD EOSFFEO XV.
Uadratum a incdia pre
oportionali incer Dalm crianouli rectanguli d
Perpendiculum ejuldem, plooriionale est inter quadratum balis, ex qua-
dracum hypocenula multatum ipso balis quadrato.
el etiam incer quadratum perpestete, a Ellacatum syporenuta
Suc triangulum e Clac cs ABC, ie ala vero incerlarera cirea rectum AC, BC. CIE
multacum ip so perpendiculi quadrato.
quadratum ex CF
Ex AB minuS quadraTO ex AC
etionale eRe inter quadracum ex AC et quadcacume
0.