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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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a
2
At A X F R I A R V M.
L IBE R QV IN FV S.
DeParabola.
PARS PRIM A.
Larabola e conoeducitur; passione (que illius fundamentales exhibentur.
finitiones parabolam spectantes.
putabola proprietas econo demonstratur, quod ordinatim applica-
arum quadrata sint ve parces drametri inter parabolam es ordinatim
ductam applicatae.
359. pr. 1.
Problemata varia quibus invemuntur diametri, ordinatim applicatae es latus rectum.
361. pr. 4. 5. 6.7.8. pa5. 371. pr. 22.
Lacus rectum a nobis inuentum ostenditur idem cum eo quod invenit Apollonius. 364.
in Schol.
Variae proprietates lateris recti.
365. pr. 9. 10, 11. 12. 13. 140
Decontingente parabolam, eiu sque inventione. 367 pr. 15. 16, 17. 18. pas. 370. pr. 20.
21. pa8. 399. pr. D2.
Ex cono demonstratur quod cameter incercepta inter ordinatim applicatam, es pun-
ctum in quo contineens cum diametro concurrit, a parabola bifariam dividatur.
pas 368. pr. 17.
In parabola omnes diametri ae quidistant axt.
Parabolae axis inuenitur.
Varia circa oecursum linearum cum parabola.
PARS SEC VRDA
378. f. 19.
Lnearumn paradolatam Continuam quam aisere
tamproportionem contemplatur.
371. Pr. 23.
Taluis homs inueniuntur in parabola tres continue proportionales, praecipue ex la-
tere recto.
Imo ex quinque continua.
377. PP. 32.33. 34.35.
379. pr. 36.
Item linea quae ad se inuicem in duplicara, criplcata sint ratione. 379. pr. 37. 38. 39. 40.
Tres proporeionales inveniuntur, per lineam coniungentem puncta, in quibus duae dia-
merri parabolam secant. item aliae aequationes rectanculorum. 383. pr. 42. 43. 44. 45.
Comparationes es aequariones rectanculorum, ortorum ex sermentis duarum parallela-
rum quomodocumque posicarum, quae secta fint per duus diametros. 385. pr. 46.
47. 48.
Comparationes eS aequationes rectansulorum ortorum ex seementis parallelarum in pa-
rabola sectarum per conam aut duas lineas.
386. pr. 49. 50.51.
Irem comparationes rectanculorum super sermentis parallelarum sectarum per diame-
trum ex aliam quandam lineam.
387. pr. 52.53.54.
Tandem comparationes paralle locrammorum ortorum ex eribus diametris quibusdam,
es ex contincente diamerum cadentem intra parabolam, reliquis extra eam caden-
ribus.
389. pr. 56.57.58.
Parabolae diamerrum secet quaeuis, occurrens parabolae in duobus punctis, ex quibus
5
dua
Pac. 357.
372. Pr. 24. 25. 26. 27. 28. 29. 33.