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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
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YCTVS PLAN
Demonstratio.
VeaneuE ad A C parallCIX inEinieE GFTTL KNT. docuimus libro de parabola
GFL, GF, CFM rectas in continua esse analogia: quare cum III, RM linex
g. D. BM aer sc aequales, extinrb CsHF, HII, TK concinux. rnde per 45. huiuspaceereri-
dtit +11.
167. 64
prosression. Fas propol.
DicocpaCL CII plano ducto in IL, icem ex HI in Scipsum.
eandem ex CFI ec M N ductis in PK, in continua esse analosia propor-
cionis dupla.
Demonstratio.
DRROdUCANEUE GM paraIleIX in N. OUOnIAM GFI, FTL FK reAt XIn praeceden
ci Osen(a SUNE CONEIDUX, CrunE TII quadeata ae qualia rectangulis GTITK; sunc
AUTCM M N aequalis ipsIS GFI, igicur rectangula super G LIM N canquam vnis d
TK, dupla sunc rectangulorum super GTTTK, id est dupla quadracorum FTT: rursum
cum TF linee dimidix sincipsarum PRK, crunc CFTIL. rectangula dimidia rectan-
Bulorum OHIIK, hoc est quadrarorum IIIF: inse rectangula GFI, II. quadra.
+2 FTI ec rectangulum (Uper TR _E GTTMN canquam una in concinua sunc ana-
losiaproporcionis subduplx. Ouare ex dilcurtu 45. huius Faeile colligicur vericas
propolcionis.
Idem pon:
PR0P021LIC. Ca1LI
Dico COrpuS OrEUMI ex doctu GMI in IRL aequari corpori OrtO ex
HIK ductoinsc.
Demonttratio.
IEdem poliris:
SIa. Cum aurem MR AMC a GeaCSIPIS FIF, reCtX CFIAM GFF, FTF, LR TunEdCOnC
3. DepP. rinux. vndC _ CIR, C  CH KFT, CM in concinus erunc analogi2. er 90 per 45.
11. Do hatus CM auctum lea LEK ducto in sc. Duodtuis demonstrandum.
C187. Ba. Iscentum est in tibro de parabola c rectas OH GF, C. M in concinua este analo-
progress.
Demon.