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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1146, page id 1815201908:1203
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a 161. duc
D Similice
stendicur
OV ADR A TVR. A CFR CV.K I.
ducth _ P. XvB, ductum in se verario corundé segmentorum p R B  d al F d d, sub.
alcerne in le ductorum est ad rationem eorundem rursus segmencoruM d Los a
1146
E Bux, in se ductorum adanceeoec eotandum.
eROPOSITIO: L.XIII
 Sic aquidistans C 61.
Oporteat aurem fgura ex plano Peste le cuela a guale patalle.
lepipeaum extle.
IIE parabolearis AB, ad quem posicx lincordinarim DE; HF, axi ve:
Occurrens ordinatim politis in C de l.
Constructio ex demonstratio.
Flacrec L aquasaerirecto quod axi A B inseruic: Potica deinde RL oEdi-
nacim ad axem ducatuE A P. quX SCCCE FTF, D R in punctis N eE MI, cricigicue
aprisma basim habens criangulum A NIB ec alcicudinem AK, aequale corporiquod
ACCx AFID B parabola in se ducta, d consequencer figura Colida habens basim
NOBM _ alcicudinem AR, aequalis est corpori quod sc ex ductu FTOBD in sc-
ipsum ducto. sed FOB D in sc ductum (hoc est, b re iam ostendi O N N B ductum
oc 199. au= AUMCM A R) L quaC CAc FT CID, ducto in se, simul cum COB Iin se duao,
oisitu  mu cum HOFD, bisducto in C OB I. Igitur cum CO BF in sc ductum paral-
elexipedum extibeac, cum HIOTD, ductum in GOB L, corpusproducat quod
nocam haber balim e alciclidinem; E ex Colido cuius cAt bas ONMB, _ alcicudo
AR, auterantur parces qua Hnc aequales corporibus quae fune ex GOB T, in se ducto
_ Cx HTOTD in ipsum C ODLbis, residuum ex corpore habenre balimNOBH
e alcicudinem AK, crit L Guale solido quod hc ex HIC, FD in Cc ducto. igicur ligure
explanO HCID ile luct_ aquale paralse lexipe dum extibuimus. quod prxeltare
eROPOSITIO LXI
Oemoporreat paldre de parre parabolae OF F. L.
Constructio es demonstratio.
Voniam AGUTA OF R B XqUAAS CIEHGOrE OH DB, d eum sic demonsteacum
dhouram FTO BD auctam in se aequalem esse pritmarihrabeci baum NIS BM.
e alticudinem AK. ctiam Aa OFC B M sC cucta em prismari sub bal
NYOBM, ex alcicudine AR aquaIS CriC: CILVETOHDUFA CT H F L, M le ducta xqua-
199. lis c C:OBT in se ducto sim  Cum OF F. B, ducto in le rna cum GOB1, o M
dut. in superticiem OF L. b. Bul cum GOBt, ductum in se paralle lepipccum Hic, d
OFF. B
239. Pa.
OporruiE.
dEX 161.
suct.
Similite
stendie