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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 520, page id 1815201908:0577
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111II
D A R A BO L A.
PR OPOSITTSIO COOLZI.
213. SB. 9L 32C
AEx parabole tecR ABC, aequalem exhibere inclinaram, cuius
ordinacim ad diamecu pca aacum angulum consticuant.
prospositas ad ans voliquos: porronullas dari parabolas ex natura sua inclinatas, ex se.
quenti propositione constabit.
217109 acoL
tat etaBENB IKE Alo∞5OZ et lC Ou
Constructio E5 demonstratio.
B 19.4s) hcel. ber Monoierlac
IE ABC paraboIX axis B F, et
Dordinacim ad illum polIE2 AC:
Policajuc per B contingence, du-
cacur adulam linca F. D, qua an
sulum F D B aequalem FaciaE daco
E: e deleribatur parabola ADF,
haberis F D diamderum, dicoillam
Cacistacere pericioni. cum enim v.
eraque pdrabola; Comnunem ha-
e
sico
Constructio e demonstratio. sil
lE ABC parabolae inclinaca
diamecer BD, ex act illam gr.
dinatim polita AC: dUCAEUE AU-
cem ex C linea OFT normalis ad
BD. diuisaque CBT bitariam il
ponacur per L rectaTF aequidi.
Ranis BD: dico IF axem cAC p d
rabola inclinaca. cum enim FF
aequiditer BD diametro, recta
Parabolam inclinaiam v0c0, omnem parabolam qua lineas habet ordinarim addiame-
quodducem AD F Parabola Scinclinaca, ex coparer quod AC linca d illi x qui-
diances. ael  F. ad angulos leceie obliquos.
Aeae parabola inclina axem exhibere.
lam AC, e candem alcicudinem, constac illas inter le esse aequales
PROPOSITIO CCCLXII.
bCAE B
ar. Defin. FF quoque sectionis diamerer est; quia rero lineam HC, bitariam et ad rectosle.
huits.
bolae inclinaex aXem.
Hinc patet nullas prorsus inclinatas dari parabolas quae diuersa sint naturae a rectis: veriqe
enim essentialis illa ex primaria passio communis, quod ordinarim act an applcata. Cnttactt
cacangulos, ConHaE PE a axem eAse parabola ABC. exhibuimusixicur, daLX PATa.
adangulos secent rectos. id quod etiam intculsi velim de hyperbola e ellipsi: similiter enim
in omnisectione comt, siue hyperoota, sac eps setu, oscenditur; ordinarim adaxes appli
catas eosdem ad aneuos ectos aider. Dnae nunds omnino dari conisectiones natura sua
inelinatus sine quae diversam a rectio habeane nacuramt consiali
esee i s e ut  tu e a i  ut