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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 575, page id 1815201908:0632
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Onii.
B.
peion
28
M
equi.
ldig
DC
InEB
de d
1124.
nTH
Eict.
edo
8
qui
DE
e rd
Onti.
dem
F6.
MC
DOr.
ales
111
Et Y F F R B O L A
ionales uNEISIEuF COnCinIX BK GLFTC, F OS D L, LC. MC. Quod crat demon-
Reandum.
AOPOSITIO LXXKIV
FC, V Pacaleno led, auclas Aedi. Pollacue ieata LM incer D
IIO a duCATUE AF C.
Dicorarionem AF ad AD, duplicatain
eseciusquam habet AC ad AF.
Demonstraiio.
ESc AF ad AD, ve A C ad AT: & A C. Al
AF, VE CA A C ad AR. TUINE AUTCM CX COn-
structione proporcionales DL, FR, FI C: igICuE
eciam suncaproportionaleS AC, AR, AI. Igitur
rario AC ad AI, hoc eA AF ad AD, duplica
ca estrationis AC ad AK, hoc cAt AC ad A)
Duodtuie demonstrandum.
PROBOSTFIO LKZEV
Docira deniio hyperbola veprius, ee DC,
FH parallelis alyIMPEOLO, POnACUE FI
veratio L. R ad F h aiplicata sicrarionis F L ad L. POnaTuTE AF EI.
Dico AFH in F diuilam esse ve ratio AD ad A L, lC sICala Clus
quam continet AHI ad AF.
Demonstratio.
NEEF alymPEOEOS AB, ALC COIMCICaCA iC H) perbol D E HI, de tactis
Acio AD ad A E, eadem est eut
Lracione AO ad AK: ee rario A H
ad AF, eadem cum rarione quae, c
IACET AC _ AI: elt aurem ex con
Aruaione racio RR ad F P, duplica
ea rationis til ad e: ipicur racio
AL de AK duptteaca M tacionis
Feles criplicaca lic elus quam haber
AC ad AI. onde cum racio AC act
PROPOSTTIO LZEXVI
anenibus iildem, nE F, KC, H N, F I, C. C in conrinuara analo stas
e polica sine ALD, AML, AEHI.
DicoOC, HIC, LC,DC lincaseandem concinuare racionem.
Demonstratio.
storiCt
AC ad AL, etiam racio AD ad AB
criplicaca eric eius quae es inTeF A F
Xx AF. Duod tuir demonstrandum.
b77. tlli.
Int enim proportionales BBC, IF, H C: Hem C C, NM, L C. WVicuxratiO FeF. C ibid.
cix. C C adcerriam HC duplicara est eius quam habet lecunda M N ad F. L:
dddd2
lCabui
  titi ete  et  et   t  t  t et t at t te t Ae e  e t te  t   e  e  . e ut  e i  e te  te t te     ete  e . 1