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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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venesed biorulto.
E L: E N C FT V 5.
Geneses ex parallelorrammo.
pac. 322. pr. 149. paz. 32. 4. pr. 151.
323. pr. 150.
Geneses ex circulo, semicirculo, segmentis circuli. 324. pr. 152. 153. 154.155, 156. 257.
150. 159. 160.
Darurellipsis secans circulum in puncto, ex quo educta tancens circulum, etiam nibiu
lominus tancat ellipsin.
Geneses ellip sis ex ellip si.
P ARS SF X T A
Circulum cumellipsi comparat.
328. pr. 159.
329. pr. 161. 162. 165.
DRoprietates linearum diuersarum in circulo ex ellipsi super eodem axe descriptis.
332. pr. 168. 169, 170, 171. 172. 173, 174. 175 paz. 937. pr. 179.
Quadrata ordinatim applicatarum ad vnam coniuratarum aqualium, aequalia
ostenduntur rectanculis super seementis diametri coniurata sectae per ordinatim ap-
plicatas, prout est in circulo.
Seementa ellipsis aequalia seementis circuli.
336. pr. 176. 177.178.
338. pr. 180. 181.
Ellipsis ad circulum super eodem axe descriptum, est ut ordinatim applicata in ellipsi
ad ordinatim applicatam in circulo.
339. pr. 182.
Sermenta ex sectores ellipsis es circuli super eodem axe descriptorum comparantur inter
339. pr. 183. 184. 185.
Comparantur segmenta e sectores ellipsis eo circuli non descriptorum siper eodem axe.
342. pr. 186. 187. 188.
Comparantur triancula maxima ellipsis sermento inscripta, cum triangulis maximis
inscriptis seemento circuli, es ex comparatione horum triansulorum comparatur el
lipsis cum circulo.
Daro circulo vel ellipsi exhibetur ellipsis aequalis, ex contra.
Darur quaedam ellipsis, duabus certis aequalis.
34). f1720
546. Pr. 194
Daro circulo diviso in duo seementa, in similia dividitur ellipsis, ex aquale seementum
ellipricum datur seemento circulari.
347. pr. 195, 196. 197.
Fllipsis a dato in peripheria puncto, in datos numero sectores aequales diuiditur. 348.
pr. 198.
Polysona recularia ellipsi inscribuntur, qualia inscripea daro circulo. 3+9. pr. 199.
Pas. 359. pr. 201.
Seementum circulare ab aliquo laterum polyconi ablatum, est ad sermentum ellipei-
cum ab aliquo larerum eiusdem polyconi ellipsi inscripei ablatum, xt circulus ad et
lipsin.
350. pr. 200a
Omnia quadrata polyconi in scripri in ellipsi, aequalia sunt quadraris polyeoni eiusdem
inscripti circulo, cujus diamerer a qualis est ni ex diametris conuratis aequalibus
Elipseos.
351. Pr. 202,203.
Ostenduntur duae linea in ellipsi, quae eandem habeant inter se rationem, quam omnia
quada polyeontsusiit, habent ad superficiem ipsius volyeont. 354.
344. pr. 189. 190.
L. IBFE R
pr. 204.
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