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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 234, page id 845634801:0240
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=240
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine
# Lines: 55 recognised, mean confidence 0.89
# 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.

FFE CYZOH VM WEOME TRTCARYM
Mechanice quad at adfecti sub latere.
Sit data FD mediaerium proxorriona
tem A incerrallo AD, describarur circulus
cremas enim inveniundas esse BF, FC, in
ec AC, AB conua quoque aequales
lum, data quoque CF differentia exero
MTaLHII, OPOFFEEInVeNIE ExTTCIASS
Inclinentur OF, FD ad angulosrecto.
ec secerur CF bifariam in A. C CHETO QU
ad cujus ctreuintetehtiam producancu
AC, AF, in punctis B, C.
Dico factum esse quod opormir. FX
Ter quas meata proposttonalis est FD. F
iplae BF, LC diHernIME PeF FC, quandoqui
dem AF e AC constructae sunexequales.
lraque 2b aequalibus AB, AC sub ducendo aequales AC, HL cemaneneBC, FC aequales
blt aurem CF anterchcia inter BF ex BC, sen FC. Duollerar demonstrandum.
P R OD OS TFTO XTTI.
Data media erium proporrionatu a AderCBato extremarum, invenire
quadrato.
Sic data E media erium DrOPOL
cionalium, _ BC adgregatum ex
Fremarum. OPOrTeE invenire ex
Eremas. Sececur BC bitariam in A
_E CenErO A intervallo AB vel A
describarur circulus. Sed de dia
merrum BAC secer 2d anouIOSre
ctos alcera diameter GAFI, & c.
RC abscindacue AI, aequalis ipGF
EF pEF L ducatur recta ipA BC pa
rallela intercipiens circumferem
tiam in D puncto, a quo cadarit
BC perpendicularis DF ip (1 L
aequalis, _ parallela. Dico factur
esse quod oporruit. ExFremAS
Mechanice plani sub latere negati de
extremas.
nim quaelicas esC BF, FC, ex quibus compolira eAt BC. Clata. FF Arme dia inFer CaS prOpO
cionales F, tel La, Id est F data.
PR OPOSFFFO XIV
Ouadratum a media proportionali inter hypotetla et canguli rectat
EU L Pesperculum ejuldem, proporciolale eIL IFer quadratuM pCI
penco Gllacacum idem perpen diculi concinuarum balis quadrate
Sic criangulure
Ctanonlu ABC
media vero in
Fer AB hypote
nutam et
perpendiculum.
sIE BD. DicC
quadrarum
BD proporric
nad
idi