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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 805, page id 1815201908:0862
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N PL ANV
Demonstratio.
CAHCUE LInCR FECLA LMLIINICA AC EBE FD parallele ad FTL, libro de para-
bola 2oltendimus B A C tectangula aquari rectangulis C AF id eA A CD: 2 41. parab.
ergo planum AC ductum in C D aequatur A C. plano ducto in alticudinem AB.
PR OPOSITIO CEXVI.
IIdem posicis:
LDico C C ductum in alcicudinem A B aequari A C ducto in C B; e
AC ductum in GB, Xquari C C ducto in CB.
Demonstratio.
Drontam AB, C B, GD proportionales sunE, ve AB ad CB, siCCAC ad C G, b +2. parab.
planum eitur C C ductum in alcicudinem AB, XquatUE AC ducto in C B. C1. Eroer.
Duoderac primum.
Rursum ve AB ad C B, id cltCB ad GB, sC AC ad C C, isicur CC ductum
in CB, aquacur AC qucto in  B. Ouoderacaleerum.
IIdem politis:
PROPOSITIO CLXVII
Dicoplana AC, AB ducta in planum C C aequalem illi proterre
molem quae oritur ex ductu planorum CC, C B in AC planum.
Demonstratio.
i Sc AB ad CB, ved CB ad OB. ErgO convertendo ve B A ad C A, sic BC dAL. parab.
ad OC: e componendo ve B A cum C A at C A, siC B C cum G C ad C C:
rectangula isituF (UDEE AB, A C _ C C, aequalia sunc rectansulis super C B. CC
e AC. ergO AB, AC plana ducta in planum C C, aequalia lune planis C B, CC
ductis inplanum AC. Ouoderat demonstrandum.
ROPOSYTIO CLXVILI
IIdem poliris:
Dicoplana AC, AB diteta  CB, Corpus proterre agualeMH9l04
oricur ex duetu planorum e, DIn alticudinem AB.
H H H Hc H
Demon.
111
11I
11II
un