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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 751, page id 1815201908:0808
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# Lines: 47 recognised, mean confidence 0.76
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PL A
N V
Demonsitacio
tCanCUE quocuis R S F, VXZ parallelX A
BN, TTT. Ouoniam FIL, BN LIMCX COnCII-
gences lunc d equales, Guacaca quoque dimi-
diorum FIL, BF lunc aqualia. scd RS I rectan-
sula aequalia sunc quadraco BB, X V X L rectan
Bula xequalia quadraco FIL; isicur R SI rectan
sula xequalia lune rectangulis VX L: vudc cum
altirudo sic eadem (nam P O aqualis est L. O,) RS
ductum in ST a aequale eAt VX ducto in X7,
Duod Fuic demonstrandum.
eROPOSITIO L
Tlculum Lde uclecta Guas AB non per cenu acta, 
. C Palancra Comscuai a L. F. DC Parallelae ad AB orrho-
sone ad AD lineam: dein ex A demitrarur A O normalis ad rectasE FI.
o planum, A L. D ducla M pranum AB CD secundum pacalle
las L H esse ad L. C. planum ductum in C H sccundum porastelas Y, 971,
ve AD ad AO.
suilaq; AD in parces quocuis aequales in GC, agaNEUF per G rectae
 CiHIC LS
demonstratio. B31L10∞C7 1
∞. 1
ECanGula EOF equaneur rectangulis F. C FI. Ergo paralle lopipeda habeneia
Parallelopipeda, eadem est proporcio corporum quibus paralleloxipeda inscribun-
cor, vei facile coltivicur ex discursu propolirionis universalis quae est 45. huius. Frgo
F. C, ductum in CF, eAt ad L. C, ductum in C HY ve AD ad AO. Quod crac de-
monstrandum.
2t et: 
FcenMCGHBCHCM quo ABCsD BE in B ae F, iunctiq in
cerlectionum punctis, agantur per B ec F orchosonx ad Bt.
CCCCC2
Dico
probalibus rectangula LOHI, que exhacttne corpus nacum ex ductu IC.
in OH, sunc ad parallelopipeda quorum bases sune rectangula RC F, e
extrauriune corpus genirum ct celu L. G in G F, ve alcicudines AO, ad alci
OB D. SFF IO, LZ F+, L
in
sisosttittooio10
17
18
l
111
itu apr a
11
  1