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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1097, page id 1815201908:1154
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i
et
1.
CONOIDES AZPERBOLLEVM
metri B C crigatur recta HIC xguidiltans
Similicer AC; ducrilque perpendiculari-
bus FTI, ED E AanE SectIONeS FDF, OTTI.
denique ponantur per rectas DF, III, pl2-
Na ADE, AIII. his polItis TUPPONaTUIE
quoquerngula D BH C, e planum C FI L
produccum secet rnsulam, exhibenscom
munem seccionem rectanguluHIIL. M.
Dico eandem esse rationem Colidi
AFED ad Colidum AO IHI, quae eAt vn
sula BDF. K ad parcem BH IL. M 1E.
Demonstratio.
)Scenslimus rarionem Colidi AF FD ad [0-
lidum AGTTI, cRecriplicacam eius quam
habet D F linea ad lincam FII. Sed cciam de-
monstracum est b rngulam BD F. K ad partem
suam BFITLK habere criplicacam racionem
eiuldem DF ad FTI. Toirur manifectum cst COr-
poralxec inter (e esse proportionalia. OuoderaE
demonstrandum.
P R O P OS ITIO CCIV.
TIEABCbasiSConi AGC; sumpris aurem punctis D F in diamerre
D aequalirer a cevrro distantibus, criganEuF P. FI, DI quae aquidistene
CC lacerierian suli per axem, et per lD, HF. tranc sectiones parabolica
IDB, EHFagancurque plana sccundum DB et C, item P. F. et 6.
Dicosolida FGHI P ex BG ID, inter (c xqualia esle.
moistratio
Bd
B21.
DOnaur percelu baleos L. Planum
REM, quod aequidistec planis IDB,
HIPF, ponacurque planum per C _C FC.
etam LM. erir c ratio Colidi GKM L ad
Colidum GTBD eriplicaca P MI ad D B.
SimilIter constat drationE ColIdi OR M I.
ad solidum OTIF P, eAc criplicatam eius
quam HabCE L M ad F F. IGIEECUMDB
SE aqualiS F F (nam cR ex hypocheli AD
aequalis F C) habebit Colidum GR M L
adrerumque Colidum GIBD, _c OHIF F. candemrationc d guancur isicur soli-
da OIBD, OFdF F. Ouod erar demonstrandum.
RO.
c
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