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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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IIIIIHI
F L F H C H Y 8
duae ordinatim dueantur ad diametrum, ostenditur ea diameter in tres proporciona
les dimisa.
pac 390. pr. 60.
Frianculum in parabola describitur, cujus basis transeat per punctum cerrum diametri,
quod habeat anculum rectum in peripheria.
392 pr. 63.
Idem fit lonce unuersalibus, quando per punctum in axe desienatum transeunt bases
trianculorum, omnia enim ostenduntur habicura anculum rectum ad peripheriam.
392. pr. 64.
Considerantur huiustrianculi quedam proprietates.
392. pr. 65. 66.
Fres proportionales inuemuntur ex contincente eique parallela, e ex lnea iuncenté
puncta in quibus se parabola ex inea parallela intersecant. Ttem alia circa haec pro-
prietates.
393. pr. 676869.
Tres imd ex plures continue proporcionales inveniuntur per incersectionem diametro-
rum, ex onius linea eas secantis, item aliae proprietates. 394. pr. 71. 72. 73.74.75.
raria in parabola linea per varias intersectiones proporcionaliter divisa. 396. pr. 76.
77. 78,79.80
Ex quonis puncto concincentis parabolam demiltatur recta, quae parabolam secet in
duobus punctis; ex puncto contactus dimissa diameter eam lineam sic secabit, 2t
totae pars inter diametrum e tancentem interiacens, item inter parabolam, e
tancentem sint tres proportionales.
Variae circa lineam ita ductam considerationes.
398. pr. 81.
399. pr. 83. 84. 85.
Duorurancentium puncta contactus iuncantur, tum ex puncto quocumque vuius tan
Eetis ducatur alteri tacenti parallela, erit ea duisa in tres proporrionales. 400 pr. 86.
Hlinc duae sequuntur proprietates.
400. pr. 87.  Coroll.
Alia rectanculorum aequalitates, erium continuarum; es quaruor proporrionalium in-
ventiones, aliae que determinationes, qua per contincentem decerminantur. 401. a
pr. 88. 2 sque ad 111.
Quaedam linea in parabola extrema e mediaratione secatur.
408 pr. 107.
Item quaedam extrema es mediaratione proporrionali. 408. pr. 108. pa5. 410. pr. 112.
e A R S Y F R TL A
Sectionis focum, es mutuas parabolarum vel circulorun
intersectiones Geometrice desienat.
Imuaia e Quara pars iateris recti cheorematice assienatur, alae que proprietates
ex data quarta parce lateris recti deducuntur. 412. à pr. 114. 2 sque ad 123.
Datae parabola focus problematice exhibetur, explicatur que ratio combustionis in eo
puncto in speculo parabolico.
Determinacur circulus qui parabolam in cmoranium puncto interius contineat. 416.
pr. 126.
Item qui parabolam praeter contactum incersecet in duobus punctis.
Comparantur rectancula inter se quae fiunt ex seementis ordinatim applicatarum sectis
per parabolam C circulum iam dictum.
temper eum circulum decerminatur latus rectum.
Propriccates circuli contincencis parabolam incus in duobus punctis, isque circulus de
terminatur.
414. pr. 124
41C. pr. 127.
416. pr. 128.
417. pr. 129.
Determi-
417. PY. 1ZOCque ad 137.
 t  p  .  .      .          a e   p t u en e pt  pe   p e e  e p pur  t u  u  ro di