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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 167, page id 1815201908:0224
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=224
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167
B F R TF R F
I
2C
d
A R C V ME N FVM.
Liber hic omnis in quatuor partes veluti membra dividitur.
Prima de linearum in circulis aeit proportione.
Secunda anculos ES arous circulares inter (e comparat.
Tertia circulorum mutuas intersectiones 5 contactus exhibet.
uartalinearum in circulis potentiam contemplatur.
IRCVLOR
A RS PR IM A.
Delinearum in circulis proporiione.
PR OPOSITTO PRIMA.
Lquales circuli lesc iner (ecent in A d B; CenEroque A, In-
 ceruallo AC, circulus describatur, occurrens aqualibus cir-
eculis in C. D.
Dico C, D, B, puncta esein directum.
Demonstracio.
tiens A B. Pechnecto in B. iungancurque
LF. L C. Vaoutam angulus ABC, verique CIT.
culorum aequalium ADB; A CB communis est, CrunE
accuSa AF, A C, illorumque lubcensae aequales; hoc est
recta AF; aequalis AC, _ F. punctum in peripheria cie-
cusi AD C; sed idem F, per constructionem estinperi-
mecro circuli ADB, igicur  punctum cum D, idem
eAt, cxansicq; C Brecta, P eF D, et C. quare in directum sunE
puncta C, D, B.
VIE primoeadiuS A C, minor AB, duCaTUTqUe C B,