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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 540, page id 1815201908:0597
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FA Y B, E H BIO L A.
.L CI aleC Demonstrato.
pit d et  Bg S NS aVih recanoulum ADB ad A DB, rectan.
2 130 e Daist scit gulum BEvE quadratum DF. ad DF, qua-
 1s1 O:SCS Edracum; igitur quoremorius D distat aB, pun.
Et0, 0omaius exic lacus DF, LacereD F quod vi-
cinius est recta OB. _E CONLCGUENECF CrIE FD
lacusmaius latere E D quo punctum D; remo-
cius abest a puncto B; 2c proinde idem alle.
rendum de recta F. FI, guxe maiore inceruallo
distat a B, puncto; vnde cum F F. II rectangula
Sncincer se aequalia; igicur retmocior LF est ac
viciniorem lineam PF Scuc vicinior F FI, est
ad remociorem F FI, igitur PR, remocius mi-
us elacere F F viciniore. Ouod tuic demon-
ROPOSITIO XII.
UF ConUS A BC plano per axem
BC criangulum exhibens in quo
ducatur quaenis recta D F COn-
currenscum C A producta in
G exrra conum: crectâ deni-
que DE normalirer ad CB,
hiac sectio secundum rectas
GD, DF. eandem diuisa GF
in H bitariam, Rac verectan
gulum GMF ad rectanoulum
SMF una cum quadraco HIF
ica quadratum NIN 2d MC
quadracum, et ducatur HO.
Dico HI L. lineam sectioni
F D F nunquam occurturam.
Demonstratio.
Onacur MO aequidistans DL.
olterlum enuectangulum CMF
rerationem quam MN quadearum
Sd quadrarum DP, sed ve OMI
cccare utu acrectangulum OMI
ada C D F rectangulum cam habe-
d
ibs
AINZSTLRHE
trandum.
rectarigulum CM L Ad EIM quadtatum; ita e CA COnAructionE M N quadtarum
ad MO quaatacr. tem D CMF rectanoulum ad M N guaoracum ia cHt qua.
dratum FTM, ad MO quadracum hoc est ED guaaratum ad D L quadratum led
bria cum quadrato II L, hoc est ve
13.
Corolia
per pracedenrem proposicionem ostensum est punctum F nunquam Fore commur
necum punao L; er30 HYL lectIOniNOAOCCUTTEE. Quod demonstrandum fvit.
1 1 2
TOEI.