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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1061, page id 1815201908:1118
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1O6I
ONOIDES PAR ABOLICVH.
rectum plano CC F. ergo communis coruM LuW LDL, recta est planO GC F. 219. undco
ergo detuim  ea. anecumo ealecle palde
E C bileita ele in D. Ec quidem relupra octendi, ad ansulos rectos. ergo C D elt
ADC per axem D Loccurrens lecundum lineam A C ad angulos rectos. DicoA C
axem esse cllipleos AB C. ex puncto F, quo axis D F occurric plano A B C. crigatur
normalicer F. B ad planum AD C. isicur si secundum b F B Aar sectio OB F baH CO- B137. hX .L
noidis aequidistans, erit circulus ex quidem rectus c ad planum AD C, ac proinde F L c 18. ondec.
aequalis Fi B. quarecum FB recta Sicad planum AD C, recta quoque cric definic. Z. Vn-
decim. ad rectam AC. unde cum a recta A C dividatur bitariam recta B I, ad angu.
losrectos, pater rectam AC arem esse sectionis ABC.
er oPOStIIO CXLVI
axis sect SCFD.
Secusscum quoque calum sic demonstrabimus. Sil herumlectio ABC; plano
IIdux sectiones in conoide parabolico axi occurrentes equidistantes
 lltca Det rectulse cllu dea adtebloluebo a Malcltlat.
Demonstratio.
Ineplanaparalleta ABC, D E F. quorum centra FT _ T. Dicolineam TTI aequi-
distare axi conoideos. ostensum d el sectiones AB C, D P. F. similes cAc. Praeterea dr4 +. B
demonstrarum est c planum per axem conoidis rectum ad sectiones AB C, D F Rius.
axes carundem extribere, planum isitar Dex aXCS AC, D F sectionum ABC, DDP:
ha
conodes. ero CLamcouaco . u C POPu.
cransiens est planui, quod per axem conoidis cransic, sic igitur planum hocD A C+ C F.
TBitur D A E parabOla eR que per axem eransic ac proinde recta OFTI, quae bita-
riam diuidie AC, D F, gux 16. vndecimi lunc parallelx, sectionis DGF per axem
conoidis Factx diamecer est. Sune aurem omnes diamerri axi seccionis aequidistantes.
igicur de GFTI axi Cccctos Galeaeco ercumeade aseit idem
ROPOSITIO CXIV
Prumcriplicatam rationem.
Va sectiones axi conoides a Gucates Lorctueur Vastun lua-
mon
 te  p u ett pis u ptit set eue ta te t ut tat t a e  tet s t e   et t  a te tt   t t et  a p t t at  it   e   et   t t ute  tt   i  la