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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 191, page id 1815201908:0248
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C, lun
C 6c0
PB
C IR a
rectuse
qualis,
CManeM
CBO.C
12 igitur
B, id et
cus lun
I9uC 29
d CB.
EXIK
Cent
rista L
ve
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0B
ut
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qualis
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B
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EAR EWZ N 1B.
PROBOSITIO XV.
ic A B, AC contingences circulum BD C. duetxque BC, ponacui
quidistans AF, e ex A diamerer AC, occurrens perimerro in L
ex quod ex B, aBacur B H; dein pet quodliber purictum in perimerro at
Cumpeum F duCaNEUE C FI, BFF.
Dicoreclan ulum lAL. Guacato AFL aequale essc.
emons
Vmacur arcli C F, aqualis BE, RE peF L ducta BL OCCUTFAE A L in R: L F
quoque iuncta secec AB, concitigemem in M. _ HIB in NI: deniqueponatur 
concingens. Ouoniam C F, BL. atcosponuneur a juales, crit L F IOI BC 2de0-
que _ reCX AH agnidiltans: quis vero OD, OB contingenres ex eodem cdu-
cuncur puncto xequales sunc O B, OD, adeoque _ MB, MN: ac proinde quia ML,
AIB, MF sUNEPTOPOrTIONAIES, CTUNCRE M L, M NV, M F quoque concinue: (c d ve
ME ad MN SIC AK 2I AFI, _E rE MN ad MF SIC AET eA ad AF, pro-
portionales igitur (unE AK, A HI, AB: CA aurem ipEi AK aqualis AI (quia BC il-
li xquidistans, ab A C: diamecro divita hebitariam) isitur AI, AHI, AF inconci-
puntumcanalosia. Ouodcrat demonttrandum.
P R O P OSIFIO XLI.
AoTegmento cCuli ABC e recta C D, recunque ad A C poli-
ta; oporleat lectam ducere AD, quam dividat arcus ABC. in B,
sccundum dacam rationem Fad 6.
Constructio ex demonstratio.
luraatur AC Vans lexmenci in F, secun
dum dacamrationem F ad C: crecta dein-
de PB, qua aquidister C D, Occurrence peri.
metro in B, ponatur AB D: Dicotactum quod
Dericur. Pacec ex elementis.
possit non solum in termino recta AC. sed vel intra
vel exira circulum. in quanis parre AC productam
Hic Hotaru dienum es, quodpinctum C assumt
RO