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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 804, page id 1815201908:0861
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104
DYOTYS PLAH
PROPOSTTIO CLXIII
Aca Sic rurtum semiparabola Clus axis AB, de ordinarim ad axem
polica C B, completoq rectan gi F C, duEatuF AC.
FC aquari criangulo F P ducto in se secundum parallelasF F.
Demonstratio.
TCANEAFINENICX FDEG, FectXF G, aFF.
D sunt in comrinus proporcione. Ouadra-
is ergO FP Xquaneur rectangula D F C. ErgC
bF D planum ductum in alcicudinem F C id est
AB, aequatux eriangulo F F ducto in sc. Ouoc
OrOStTIO CEXIV.
Dicoplanum FD ductum in alticudinem AB secundum parallelas
crac demonstrandum.
IIdem posstis:
Dico FF. planum duccum in Pralum
E C, corpus protetréa quale illi quod ori
cur ex ductu E D in alcicudinem AB: in-
celligo rursum ductus secundum parallelas
. Pa
b 45. huins
FDF. C+ Factoo.
Demonstratio.
Vcalu MCX quoruis nuMeTO F D P. C Parallelxe Ae AB, libro de parabola
67. parab. L COITCBOMHES L B LF, F C lincas continue CM prOctionaleS: IgIEUE CR CMt
146. dm se L L. d plarium ductum in L. Ci aquarur L. D plano duclo  allituae LC id CA
AB.
ad DF, Ve GF ad FB, rectangula ergo (F Faequantur rectangulis D P FC. qua
PROPOSITIO CLLI.
Tcad RBF axem parabola C F ordinarim applicara LLI, crectisque ex
DEI _e L axi parallelis H A, ID, perticiatur rectangulum, iunganeurq
ITK, IR
Dico AC. planum alolu pratu etagua plao  alo
i aliicudinem AV.
Demoi