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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 958, page id 1815201908:1015
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PROFOSILIO II.
donatur higura quadrilarera A BC D, curus opvolica lacera AB, CD
a proportionaliter diuidar recta P F: Cc aurem C7 lI parallela C D secans
E Fin AL, ee inplario per GH ducto collocetur lK parallela GHI, qua
secetur in L. Secundum rationem CF ad F D. Iunctis denique AI, 1C,
BFE, IE D plAMUM PONAEUFPeF P. F _ punctum L.
Dicocorpus A LCDKB dinilum eAle plano E. L. F secundum rario.
nem C F ad FD.
YN GY LAI CXLENDRTCA.
95d
Demonstracio
Oncipianeur duetae M A, MIB, A L. AI R. L A. L B, AIC, AD. LC. L. D, nec
non lInex F L, FK X P I, P. R. ex hac constructione orieneur prramides varix,
rariis quidem balibus insistenres, (edhabenres communes alcicudines, quemadmo.
dum videre est in prramide GIML C _ L MTTK D, ac prramidibuS AIOML,
BLMITIK, quarum baseS OTLM _C LMTIK, incer sc cam Corciuncur rationem,
quam habeclinca GMI ad M EI, hoc CA FC. ad FD. superlunc praecerca prrami
dES LMIFC, LMF D, _ BML A, FMT. B quarum bases criam POrriuneuF can-
demracionem quam ratio AF. ad F, B, C CF ad FD, quarCF I. M A una cum
CMTOTA ad LMEB, VnA CuM ML KFT B eandem concinene rationem quam
FLMC vna CUM GTLMC ad LMED, vna CUIM LMKTTD. etSOTOIIA
ALCFLE AdEOTUM E L. FD RB, CAVEC F ad F. D. Ouodtuir demonstrandum,
ROPOSIIIOMI
Pareae parei Caperhciei circularis ABC inseribaeur D F. semidia-
Olco palalleloslaimum lCLmalus elle dimidio legmenti ADC.
mecro BC aequidistans: qua Martatus s Lauta, crisacurnorma-
alicer FC ad rectam L, facure M Paratela BC.
Demo