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# Title: Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio (shelfmark Leibn. Marg. 84:2)
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PROP. 36.
DeSectionibus Conicis.
plicatas. Nempe quia sic tam a quam et d(diametee
intercepta, ex a0gresacum tranlvertae e interckptae)
ausentur, adcoq; et corum rectangula, e propteren
quadrata Ordinatim applicararum his rectangulis
proportionalia, adcoq; e iplae Ordinatum appli-
Cate.
Et proptereas FIyperbolam ex earum lincarum nu-
mero ese, quae tiguram non claudune; Cum Ordina-
cim applicate (a vertice inchoando) perpetuo cres-
cant, adc0g; e creleat crurum diraricacio, que idcir.
conunquam Cunt deinceps coitura.
Edeoqi et Hyperbole diametrum quamlibet non nili
in unico Verticis puncto eidem Ayperbole occurreres
Ouoniam nempe crescentibus continuo Oordinatim-
applicatis Hyperbole curra a diametro magis conti-
nuo resiliat, nunquam ideo deinceps coitura. Vertices
enim Oppolici, quanquam in eadem diametro, non
tamen unc in eddem Hyperbola, sed in OpDolcis.
PROD. XZXVI.
Derecta Fy perbolam contingente.
 Ecta Erperbolam contingens diametro producta
ad
inter verticem ex centrum occurret. Punctum ve-
rO COnCUELUS SC InGUITEMIS.
Supponatur tansens at occurrens, in P, diamerro H A pro-
ductae, eig; ordinacim- applicaca ae H. Supponatur eriam obi-
vis eidem diamerro Ordinacim. applicata DO, cangenti Oc.
Currens in T. Sicg; A VeTTCK, C centrum.
Dicancur aurem Cob commodiorem calculum) Ha =- B,
AA = = d, Aa - - 1, (id eog; Ha- 1F d, BC - = 1 F d,) HF - f, BL
an (ide0g; DF =(L a DA = d = a D 3 = 1 d ut. a.