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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
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F E F N C E V 5
Omnis sectio conoideos qua transeat per centrum hyperbola facta per axem conoideos;
hyperbolam exhibet.
Duahyperbola in cono parallela inter se sunt similes.
Omnes hyperbolae inter easdem asymptotos constitutae similes sunt.
fas. 1076 pr. 172.
Conus factus ab asemprotis cum conoide hyperbolico numqua concurres 1078. pr. 175.
Aliae proprietates dicticoni e conoidis.
1078. pr. 176. 177. 178.
Omnis sectio conoidis hyperbolici axi parallela exhibet hyperbolam illi similem quae fit
per axem.
1080. pr. 179.
Parabola generatur ex sectione quadam conoidis hyperbolici, e ex duabus ostenditur
quae sit minor.
108I. pr. 180. pac. 1082. pr. 182. 183.
Item ex conoe conoide nascuntur parabolae parallela seu asymprotae. 1082. pr. 1811.
Alia proprietates sectionum hyperbolicarum in conoide hyperbolico. 1082. pr. 1 84. 185.
Similes ellipses, e similes hyperbola in conoide hyperbolico assienantur.
pr. 166. 187.
1083.
spacia conoides hyperbolicum cincentia comparantur inter se. 1087. pr. 190 pas.
1088. pr. 192.
Datur conus conoidi aequalis.
Rario conoidis hyperbolici ad conum inclusum exhibetur.
Ratio conoidis ad cylindrum illud includentem assienatur.
Conoides hyperbolicum cum conoide parabolico comparatur.
Irem cum sphaeroide.
Datur pars coni quae ad pyramideni quandam rationem habeat quam quatuor ad tria.
10G3. pr. 198.
Parces coni cum parcibus eylindri comparata. item inter se sisecta sint sectione faciente
parabolam.
Noua quadratura parabola.
1093. pr. 199. 200. 201. 202. 203. 204.
LIB E R D E CIM V 5.
De ipsa circuli quadratura.
P A RS P R LM A
1098. pr. 205.
ria Lemmata complectitur quae variis quadraturis concinnandis inseruire
P A R S S F C V N D A.
poterunt
1077. pr. 173.
1077. pr. 174.
1087. pr. 191.
1088. pr. 193.
1089. pr. 194.
1090. pr. 195. 196.
1692 pr. 197.
Orpori producto ex ductu mutuo parabolarum sub alterne positarum nihi prorsus
habenti circulare, tripla via cylindrum invenit aequalem pr. 46. 47. 48. 49.50.
5I. item prop. 68. item plop.. ex ipsius demum circuli varias quadraturas exhi-
bel, modos que reaucendi cylindrica corpora ad rectilineas maenitudines solidas.
P A R S YE R TI A.
Yverbolem quoque per cylindrum p ou a solida reductum ad
fcuras rectilineas planas un. At que und miram quadraturae hyperbo-
lica cum circular smutudivem prosequitur.
  u  1   A (. .  e 1 1 1 . 1    1 .     ut.  1  t   p a   1 e   m  t  ap    u  v