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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1151, page id 1815201908:1208
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eDADRATVRA CIRCML
P R O P, OS ITIO LZZI.
Ir A B axis parabolx AOI, _ recta DE bitariam diuisa in F, ponan-
FD, L
cer lc
Deur ordinacim D G, F FI, E. I quae incercipiant aequales diametri partes
Denique consticuancur K L, M N axi x quidistances equales in-
Dico figuram OGFIL maiorenteMHBaLA LLLLLI, a MMMMILET COI
e 200
pus ex ductu Oe, i de Ilatus elle loldo quod tr ex ductu PHIN
Demonstratio.
Y
Voniam DF, FF ex hypochesi aequales sunE, etiam O L, P N aequales ertiE. sune
Laurem _ cOrX R L. M I ex hypochesi aequales. ergo criam R O, MIP aequalesc-
runc. rectanoula isitur R, TIP Oasune xqualia. erGOVE FTP ad CO, ACO R 255. buins
ad PO. quare cum OKMOE sic quam P O, erir _ P HI minor quam C:O. Deinde
Mentum est brectangulum O R eNse ad rectangulum FIL O, VEK O cAt adRL, b + 4. parat
hOC CIEVE MP ad MIN, hoc est c verectangulum IIP O adrectangulum IN S. igi- c Per cand
cuc permucando verectan ouum COR cA ad rectangulum FIP L. sic rectangu-
lum HILO ad rectanguin LNS. Sed GOR, _EHIP O RqUanEUT. ErgOXHL.
IHS aequalia (unE. Ergo NL elt adHIL, vE L Oad NS. Sed L. O minor est quâm
13. ergo NI minor quoque est quam FIL. Ouoniam igicur octensum cst FI P mi-
notemesse quam C,O, X NI minorem quam HIL, RaE O Z pAF ipAITIP, _ L V
par ipI NL, incripEaq; ABBTA OZV L, que sic aequalis PFTIN, erir OCFILma-
iorfigura VL adcog; criam Agura P HIIN. quod crac primu. Secundum quoque
Sic constabic: quoniam O GFTL in se ductum maius est OZV L, ductoin se, er-
iam OOHIL, in sc ductum crie maius PHTN in se du eto. Quoderaclecundum.
PR O POSITIO LXXII.
quodresulcat ex P HI 1N in se Cubalcerne ducto.
Ildempolicis:
L Dicoguou eum ile lubalterne maius exictat Colido
CC 2
Demon-
          h     ho e tho iu qu  pes os s sspo