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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1040, page id 1815201908:1097
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1040
PRODOSITTO CVIII LEMMA.
TInEAB, CD axes ellipricis recta ve
Oro E F Equidistans axi seCanS CD
in O, diuisa SicTursus in H, ve est diuila
AB in C, e ponancur IGIE, LHM Or-
dinacim adaxem.
Dico rectangulum L HIN ad COD
rectangulum eam habere rationem qua
ICi quadrarum ad C N quadratum.
Demonstratio
iscenimguadracum IC: 2d C N quadra-
tum, vea AC B rectangulum ad rectaneu-
Ium ANB, hoc est quoniam AB, F. F, simili-
cer sunc divilx, ve rectangula H TIF ad ROF.
SCdVE F EIF rectanoulum ad ti OF, ica est
BE TIM ad COD rectan gulum. igItuE VE
I. IIM rectangulum ad rectangulum COD.
ita cst. IC quadracum ad CN quadracum.
Ouoderat demonstrandum.
PR OPOSITITO CIZ.
Ulnis sectio Sphaeroicteos peraxem facta exhibet elliplim à qua sptx.
1. FEillipst. 
B106. B1-
DE SPH A R OFDF.
roidesformatum est.
Demonstratio.
Onindigerproxomo nceriore demonstracione quam ea quX CK ACMMMIOHC
prima porest assumiscum enim per ellipls dererminaex circulacionem luDCE AXC
immoco sphaeroides Cormecur, isirur in omniparre circulationis eadem ellipisrepe.
riecur qua spharoides cFOrmAE.
eROPOSIT1O CX.
Mnislectio sphales pe celeru lacta recta elt ad aliquod pla-
num ductum per axem sphaeroideos.
Demon.