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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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E L. R N C E V S.
e A R S OV IN F A.
Dnadraturae parabola.
DRopositiones praeambulae ad quadraturas.
pat. 457. a pr. 218. 2 sque 226.
Triancula maxima sermentis inscribuntur, eorumque proprietates explicatae.
460. a pr. 227. 2 (que 230.
Duadratura parabolae conuexa.
Triangula maxima parabolae concaua inscripta.
Duadratura parabola concana.
Connexa parabola dupla est parabolae concana.
Sermentum parabolicum datum quadratura.
40. Pl.23
Parabola convexa inter se, item parabolarum serment a tam concaua quam connexain-
ter se variae comparantur.
466. à pr. 240. 2 que 248.
Inter duas datas duae media proportionales oreanice extiibentur. 470. pr. 250. 251. 252.
P ARS S F X F A
Sermexta primum es parabolas inter se confert, deinficuras
maximas sectioni inseribit.
Inea quae extremitates parallelarum duarum in parabola connectunt, seementa
auferunt aequalia.
472. pr. 253.
Daro in parabola segmento, aliisque datis, auferuntur seementa dato aequalia, aut quae
Parie assienantur sermenta sesmentis a qualia.
478. pr. 268.
472. a pr. 254. v (que 257.
473. pr. 258. pas. 477. pr. 266. pas.
Constructio facillima, qua quorcumque seementa aequalia à parabola auferantur. 478.
pr. 267. pac 479. pr. 269.
Linearum E secmentorum cam conuexorum quam concauorum admiranda proeressio
Arichmetica.
481. in Schol.
Variae constructiones linearum in parabola, quae auferunt seementa quae in duplicata
triplicata sont ratione certarum linearum, auc compositam habeant rationem linea-
rum quae isthic determinantur.
283. 284.
474. a pr. 260. vsque 263. pas. 480. pr. 282:
AEqualium sermentorum pulchra proprietas:
Sermenta quorcum que in continud analoria assienantur.
Omnis parabola parabolae similis est.
Parabola cum suis seementis comparatur.
Parabola cum parabola confertur.
Parabolae maximum inscribitur paralleloerammum.
Polyconum reculare dato numero laterum constans, parabolae inscribitur. 489. pr. 287.
Quadrilaterum maximum eorum quae parabolae terminatae inscribi possunt, determina-
tur.
posstt.
sint in data ratione.
462. Pr. 231. 232.
463. pr. 233, 234.
464. pr. 235, 236
465. pr. 237,238.
476. pr. 264.
479. pr. 280, 281.
483. pr. 276.
184. pr. 277. 278. 279.
485. a pr. 288.  (que 284:
488. pr. 285, 286.
469. pr. 268.
Polyconum maximum inscribitur eorum qua dato numero laterum parabola inscribi
490. pr. 289.
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