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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 258, page id 1815201908:0315
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 m   1
E L L IPSIS.
PKD POSTI TO XX VI.
Sto ABC ellipseos diamerer BD, ad quam ordinarim polira sitre:
Octa AC: ductilq ek A e C lineis que diameerum in eodem puncto
B Sccene, ducacur F.C parallela AC, occurrens AB; C B in HI e l, dia-
Dico FHI, Cl lineas esse aequales.
Demonstratio.
12
Voniam FC aequidistat AC ordinatim potices ad BD,
Leric ex F. C, quoque ordinatim polica ad diamerrum BD,
2dc0q; in K bitariam diuilas se d ex FIIin K dinila est bitariam,
vei AC in E, dempris isicur aqualibus HIK, IR, relique
FH. LC aequales sunc. Ouod erat demonstrandum.: iliuu
=21 3E1O2
FROFOSIFIO XRVII. . 1
A d
ersciria
lit 35.
ECenE ABC ellipsim due quevis parallela AB,
DCD, iunctisque AC, BD5 ducaeur P F parallela
AB, Eccans AC, BD lineas in C e H.
 EEI AHEHCWB
Demonstratio. a l. 1. =. i
ricii cemchari t it e BS IC
Lanis AB, C D bitariam in I d K; agaCUT per I ∞ R, lis
L, LK; crir  illa diamecor, ec F P lincam, rectx AB Pa
rallelam eCabir bitariam in L. sed de HIC in F. secta estibi.
Tariam ve CD in R. vel AB in L, ablacis ivicur aqualibus
CL, LLB manenc B C, F II, religux ae quales. Ouod eraede
nonstralum. ∞3 AAOC L 31I3 bou C. CI it cd L. c0201 ∞2B
DROBOSIFIO ZZVIII.
EAB C olliplim ade quenis parallese A B. CD, iuncisque A D.
ucacur F. NMF parallela AB, ec ex F. et L, lemidiamerri po.
Dico F. C, FC in H de lproporrionalirer esse diuilas.
o Demonstratio.
Sorentsop Ba Ci et muser BCap WV A ciOV
CaEUB PeF G KT. aquidistans AB OcCUEreNS
D, BO in K _ F. Ouoniam R F, RP aquidi.
ISanC, CHIE VE ENS ad R 9S ACF ET ad FF G; _ FI ad
l
1
 DE FM ad P G5 sed ve F N ad RO, SCFM cA ac
eum FN, FM icem b KG, L O, aquales(in,)
T rigIcE vE F, HI ad HIC, sic PL ad LC. Ouod tui demon.
Aeantelum. L. 1 B iV
vrul
irubpest. N  Corollarium.  el estWre P NA
PInc patet iunctam E F equidictare DC, adedque
cas AD, BC, in BL et L proporcionalicet ese
diveltad.
PR O
27. tnicas.
merro vero bD in R.
F II rectas esc equales.
ManCuFF G, FC, que AD, BC lineas lecenc in H _ 1
is
    .   e  e 1   . u ee i   u  t t   e     as p s  num cmm