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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)
# Folio 42, page id 824573315:0126
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De Sectionibus Conicis.
L e2. 1G
cum; cognolcetur etiam racio cujustibee alius Pyramidoideos
vel Conoideos Hyperbolici luxer quacunq baniplana ad Pris-
ma vel Cylindrum super eadem vel aequali bari aque alcum. Si
nempe protingutis quadracis substicuantur vel C irculi vel Tri
angula, vel quaeris aliae tieura plana limiles.
PROP. XIZ.
De Conoideos es Pyramidoideos Fyperbolici Sections.
 Pyramidoides vel Conoides Hyperbolicum plano
per Axem (vel, E maris, Diametrum) scceturs
Sectio erit Hyperbola.
Probatur eodem arsumeneo quo usi lumus de Pyramide e
Conoprop 6. alq; de Pyramidoidibus et Conoidibus Parabo-
lico _ Bllipeico, prov. 10e 15.
Elabet antem Conoides Fsyperbolicum Axes Crisi Diamerros ma-
lis apvellare) infiniios, communi centro (led exira Conoides)
coeuntes; Dui es sua habent plana ordinarim applicata.
Si vero secetur Conoides FI, perbolicum plano per Axem (vel Diame.
erum Bocins) non transeunte; porest ea Sectio vel esse Fyperbola, vel
Parabola, 2et FHipsis (circuluEre.)
Ec quidem de CPrramidoidibus ee prxCerrim) Cionoidibus
Parabolicis Fllipcicis ee Hyperbolicis; corumq: Axibus live Dia-
_. eris, intercepeis _e trantrer(is; Planilq; ordinacim applicacis.
lecancibus, de cangencibus; Centris, icem e Laceribus- Rectis,
aliilq; ejulmodi: tacile eller noram quidem nec injucundam
disquilicionem insticvere; (ad quod eriam Patis procliris Cum-
cum cocam sere ictius nesocii difticultarem jam luveraverimo
nec quicquam fere luperlit aliuod quam uc quae mence concepi
verbis exprimam:) Verum illud non esthuju; locisneqi jam li-
cetnimium diragari. Pctorlan aleicuidam non ingracum e-
sIc ex ea methodo quam nos in Coni sectionum cractarione
calcamno, anlam arripere tale quiit in Conoidibus exercendi.
Nobis incerim ee monvisse ex inmuisse hic loci lusticiat: alind e.
nnim est quod pex manibus tabemius.