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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 859, page id 1815201908:0916
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11
AN LL A N Y M
Demonstratio.
DErtectoCca Bulo A FB, Factmque cerriis
lineis quae sinc in concinua ractone blel
tipcis GK, IR, FIK, eric HEL a parabola:
ericgne ADE in se ductum, ad ABC du-
ctum in se, veelt superhcies AFL ad (UPCTH-
CIEM ACBI A, cum luperticieS ADF b in
Ic ducta aequalis sic ATTL F. ducto in alcieu-
dinem AF, icem ADBC in lc, aquale hC
superhcici AI. B C ductx in alcirudmem AP,
alcicudo aurem sic communis. Sed superticies
AF. L ad ACBL c criplicacam habet rario.
HeM AF. ad AC; igicur e ADP. in lc, dd AD C. in se ductum, criplicacam habet 245
e
racionem linex AP. ad AC. Quod erac demonttrandum. C il ls et ei 14. 2+1. parat
1t
bP
huins
C Collibitur
PROPOSITIO CCXXXVIII.
E libea co Ciopaladolata LDIM VelcCcA, Bonancuic
axi aquidistances BF, FC incer le aequales.
Dicotonumenes ex aulia  e Laguai onao teuican-
ei ex mucuo ductu superticierum HK, K M.
1et
Demonstratio.
lam gua est limilis C R L Pacaooe: icem lincas quae cerminancur in parabola
CO A, qua eA similis C AD, medias cNCinCeE HIK de HIM: igiturcum OIxqua-
les snc FTO. illae nempe quae aequalicer ab F, e C, distane, quadrara quoque C I.
FTO, de consequencer rectanrula eriam TCF agualia sunc rectangulis RFIM; 2C
parab.
propceredc corporaeriam incer se xqualia lunc quae oruneur ex ductu superticie u
rum C L in CL, _E FIK in FIM. Quod erac demonstrandum.
PROPOSITIO CCXZXIA.
VIEparabOlA ABC, CUIUS aXIS AD, d recta AC occurrens parabola
in C.
DicoBD duccum inte, prenecce onu guoa au Corpustelals la
duccu E. D planiin sciplum, habeac racionem quam cria ad duo.
167
45.
Emonstracum d est mediasinter GF, GL. scilicor GN ese ad candem parabo-
Demon
ss  ue  uite te ate  e i t ae t su ti t e a e e pt  e  te e t  t it te et pt p a   sta u     e s e  A     s t   t