# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 358, page id 845634801:0364
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=364
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 70 lines, status machine
# Lines: 70 recognised, mean confidence 0.78
# 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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358
V AR TORYHE DE RE BVS M A L A L M A FFC15
Cumacue circumferentia BP dupia pus DC. C lubrendatur BP ee producatur in Q, 1
quale. Ouare inte.
AB_E PO GUAFeTU.
media proporriona
lis. a cujus medis
semitre quadracum
criraquale segmen.
TOBLCN.
Ouod S datuI
SCBMENEuM SIE Ma
jus semicirculo, ni
hilominus quadra
urrecta BO sc iph circum Ferenria BP a qualis, secundum jam eradita helicis idcirco de
ScribeHCa PFACCPCZ
Roacur etiam Cem
diameter BA. OuOC
igitur hec sub B A.
PQeric quadruplo
segmenti BLCN ~
bicue minus, reliquum videlicet e circulo, quod cum auteretut e quadraco circulum a
quance, dabicur quadrarum aequale segmenco majori gua. Iraque urrovis calui
PETATOLATISHIE.
PROPOSTTTO VIIL
Datum circulum ita sCcare, 
segmentum sic xquale dato qua
drato.
S
S circulus BCDL
quoque quadrarum cuj uS laruS Z
S, quadrarum quod Ec ex Z.S eric quadt
plum GuacFat ex L. X, Liplum quad
culum recta BF, POsita BF aquali quace
plo corius circum ferentix circuli, a d
Ceribarur helix, cujus principium in
a
principium rero convertionis in E, c
did
polter circulum BCDN ita leCarE, V
onsesu t aequale quadrato ex Z. X. 1
ioitur quadracum ex L. L minus est (en
circulo vel majus. Sic primum minus
micirculo. DuplacOBBIIHL LaTerC Z2
cum ex Z. S crirminus duplo circali.
aurem circuli diamerer BAD, ee cum qu
drarum ex ZS adplicabitur ad AB (eu
Faciar lacicudinem S ll. LOrro tansat et
dion
Ble
cum
15
ceut
eer
9u1dc
C
elit
darus
duo
MuM
81
ile
60
de
rer
d
PEO
il
Plur
em