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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 749, page id 1815201908:0806
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Ii
nri
DC
cot.
N
I A N Y
N
ARS O V INTA
Aeit de aequarionibus Cs proporrione solidorum qua sienuntur ex
ductu partium circularium in alias circulares.
PROPOSIFIO, LVIII.
Seo circuto AB C cuius diamerer AC inscripium crianoulum re-
octangulum ABC, ducancur que rectX D F C L. normales ad diame
DIco Ot ductum in FF, corpus
rouuer aequane illi quod exluroic ex
BC semiciiem ducto in sc, Minu
De criansilo ducto in lc.
Demonstratio.
rum AC.
Voniam DF P reCCaIISM Va Cum qua
Ldracis F G, aequalia sune quadracis DG
igicur DF ductum in F P vnacum FC du-
etom le xquale est DC cuctoe; isieur
arc, residuum DF ductum ist LL aglale
a C ducto in le allelatur C daccum
est AB C semicirculo ductoe ilus luperticie. LC id elterlatigulo ABC uu
4s. tinine
PR OeOSTTIO, LIX.
Abernc circuli duo sese inteaes AB C; DB L otametrosin da-
lrectum poticas AC, DF, a panctum incerlectionis B; ex quo ad
diamerrum normalis dencacus bF, trancque C HIIL. M parallelx DC
a0 in sc: Duod Fuic demonstrandum.
occurrences circulis in CHL. M.
ub tt ductum  alsat Ct ducto in IL.
Ecl
idemion-