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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 396, page id 845634801:0402
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 82 lines, status machine
# Lines: 82 recognised, mean confidence 0.81
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9e
Y ARTORVM DE REBVS MI A TH EM A ZIC15
rencia BR. D L igituE FerC COnCUI
TIE CUMDR, _E FANIO prOpIuSCOK
currer quanco circumferentia DL
DF adlumentur breviores. Que
perrinetpropolirum.
PEa SunEB G, BFI, Facian cum dia
merro ansulos bene acurOS. Sin
sane DF, VF Bertonerix Rnoula
parrium 1X, ad peripheriam deca
eoni subquadrupl~. FR LX aC
CL ZXX, uxt ad20. Oualium ic2
que BD est 20, ralium incidens BC
C 29, BLL VeTOZT. Lcanguli DBC
DBEL hune linguli parrium 1
cum serssille. In eriangulo itaque
CDB, cum data (IC raciO CruTUI
GB, BD, una cum angulo vercici
DB G: _ABIEHL ANSuIUS CDB. A.
que in triangulo BHD, cum daco
Sicratio crurum BFI, BD, un2 CUI
angulo verticis HIBD: dabitur an
sulus BD EI, qui cum anguloBDL
duorum rectorum est. Cum aurem
relecabitur ab angulo HDB angu
lus C DB. remanebic angulus IDH
acque deco dimidius angulusIDL
seu LDR. Inluatur isitur calco
lus. Fic angulus CDB parcium
EIV. XZZVIF. XL V. angulu
BD EIPAFEIUI CZLZ. X XXL V. L.
RE D LPALCMIH V. LL VII. ZXLFLL
Peripheria BL, CXV. IT. LIV. bet
se duncaxac letuximajor circumte
PROPOSTTTO III.
Sit datus circulus ABC D. OpOrter daro ABC. D cireulo invemc guadracum l
proxime quam placuerie, aequale. Sic dari circuli diameter BD, et abs Cemicirculo
abscindacur circum terencia D F. dacam habens ad semiperimerrum DL. B rationem.
dara rario urunum ad riginti, quanca erie si peripheria D F. Cumpra sir ae qualis quadral
peripheria, quam ablumiclatus decagoni circulo inseripei. Ab Ccindacur ab DB rEcta
aequalis viselimae parti ip susDB. Fadem DB producatur in C, polta D C. Xqual1 
FD. FA isicut DB dd bE. ed letos petetet BED La petspheriam BF, quam cacio
obcinebir BD diameter ad rectam MIoTCMBICM DL. LVSBL. Riuc abscindacus
ipsBF aequalis. Po, , K ataleS. Fr connecta
TurDI. ID, secances semicircum Ferentiam B AD inpunctis L, M, & Secetur L. M bIla
riam in N. Circulum aucem rangar recta in B, quam acta D N incercipiar in O. Dicol
ctam BO esse semiperimerro B hB prorue equale, alque aaeo ulatieulum B
daco circulo aB C. D propemodun aGuase. LaCCdere enim circulum tam pauxilla a
Ferentia, uc ejus excessus vix habenda Scratio.
hisisirur quae superiore propolirione demonstrara lunc, punctum P concurret tere cua
pun-
Invenire quadratum dato circulo tam proxime quam placuerit, aequale.
P
quaneo
ric adr
isDF
A3
eric
DvC
perr
AC
ex pur
uncto
B
DCOr
Docest
BicurC
sulo P
re
riane
quale
Macra
Ec
X
Olvicu
vi
opver
d
n
ui
Cor