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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 48, page id 1815201908:0105
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# Lines: 48 recognised, mean confidence 0.82
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mua
IN E A R V M
Constructio ex demonstratio.
Tuidacur A D in YF; e CB in Fbitariam; _ recta TYF divitA SIE in F VE BE
HIF ad F I, sicuc eA P ad C. Dico rectaulum AFD, adC F B rectangu-
Lumhrabere rationem quadraci F, ad C, quadracum.
Fluiusseaeeactoneme pectes oo Palabbta. LCs Poptetaribus ett
Cruca.
L. a 4, a
acam icerum A B, Cectam
recunque in C _ D, de-
nuo pateri in F, verectangulu
A F C adt BF D datam ratio
nem corincal quadrati F, ad6
PACO POSITIC
Tuidaneur DEpriuisrectE AD, CB, in FI, X P punctis bitariam; quo Facto divi-
dacur FTI recta in F, secundum proporrione , ad F. Dicorectangulum AP C,
ad BED rectangulum, dacam habere rationem quadrici I, at0 quadratum.
luius quoque demonstrationem invenies codem libro de parabola.
POSITIO
onstratio
ie
L X Z XI.
Acam denuo AB, divi-
lam vecunque in C _D,
icerum diuidere in F, ve re-
ctangulumm ACE, ad BDF.
Constructio e demonstratio.
rectanoulum, dacam obtincat rationem quadrari Fad C.
E CLIS N  N T, I ZTAEVE AC ad DB, IEa H B
F 10Ct. ,= ad KF; _ VEF ad G+, ica
ta u
TM ad, KN, tandem Aane in
continuaca analogia III, M L. )I; S Similiter RP GNK, PR: denique diuidaeur
CD in E. secundum rarioneM LO a RP; Dicotactum quod requirieur. R ectan.
a23. seuri. Gulum AC F, ad B B L, LHDELLatiOneM COPOSTAM CX AC, ad DB, hoC ct
HIL, 2dRL, e ex ratione C L. 2d LD, hoc cAt. OI, ad K P. Igitur rectangulum
AC. F, ad BDF. candem obcibectacionem, quam recrangulum TTIO adLRP:
sed AEsO ad L KP, Cama Haberracionem, quam quadratum IMI ad RNV, (ex
constructione enim linceres in concinua analogia cam IO, TM, III, quam KP,
RN, XL.) hoc est quam quadracum F, 2d G, quadracum; TSitur recrangulum
A CB, ad BD L, candem rationem concince, quam F quadrarum, ad Cguadra-
. Lextecimusigicur quod imperatum Fuic.
PROPOSIIIOLAASII
Aca bali, agsregaco lacerum, ee alcicudine crtansuli, extIBel
Gulum.
3
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