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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 666, page id 1815201908:0723
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 2
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660
SPER ALY
bunc Caperpetuo in niocuillo lectx AS, RO in punctis D, D.
Demonstratio.
rmacur quoduis punctum in.
ersectionis D. quando igitue
AS, RO, se intersecane in pun-
a0 D, AS quidem peruenie in
G, R O vero in F. EC quoniam
rniFormi CelCFICAEE R O FCrEUT
per AB rectam, cric (guemad-
modum ex pritma Acchim. de spie.
Facile colliges) AF ad AB, ve
TempuS, GuOPCFCUErIEur AF ad
cempus quo AB. Rursum quo-
niam AS vnitormi celeritace
percurric BB, eric B C+ adBB ve
tempus, quo percurricur BC ad
tempus, quo percurricur BB. Sed
AB, B B ex hypochesi perCurEun.
cur eodem tempore quod pona-
tur esse a: item A F, B C tempo.
re eodem percranlcuneur, quod
Donatur ese B, cum R O recta
cum perueniacin F, ee A F S in O,
quando le muruo incerlecane in
D. ergocam AF ad AB, quam
BGad BB, est vecempusa ad 6.
Ergo AF Cst ad A B, vE BC+ ad
BB. Eroo dividendo AF est 2d
F B, hOC eA AF ad T B, veBC
ad ErB, hoc est quetaatiodum
nenre puncto A nto, lepraleneae, morum circularem rectae AB qui AE in spIrAII
manence puncto A: morus alcem tecla HO pec reclam AB, sempet aa BB pa
rallelus
Reum REErianOuL A B GB, cuins laEUS AF B. produeatur intini.
te versus S: per vercicem anguli A, aucta (IE R G; patallela BB eF=
iam inHHITa, ux mocu iniformi, ex le pet manens ad B B parallela, Fe-
ratur per tectam AS, donec conoruat IIIEx B B: eodem dutem cempo-
ATB. Sedhicmocus sic perasi debet vt AB, BB in a que mulcas ae qua-
les parces diuisis, quo rempore RMam aequalium partium rectae AB
abloluic, eodem erium, A B S aboat als aequalium parrium rectae
re linca ABS, manence puncto A, MOUCAEUF dONEC COnGTUIAE rectR
BB, _ Sic deinceps, hac aucem rnitormicas non lumitur secundum uni-
Formitare morus secundum luas parres, sed secundum parres spatii quod
per morum decurritur. Quae parres xquales incer le exictunt. Incerleca-
Dico intersectionibus illo mocuactis parabolam describi.
pateE Ex elemetiris (quotiam BB, R 9, sunE paTAHIEIZ) ve FB aa D Y. FreO
Det s’Archimedis de quadrat. Parabolx punctum D es ad parabolam. Simill.
cer oltendimusotunia puneta incersectionum DDD elle ad pacabolath. vod etab
demonstranan. le equos eta
et cidlid
SIdicaidinetn porro sC BAenidemus: Mocus recta ABS Ber lineam BB, Ma-