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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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De Sectionibus conicis.
PR OP. 25.
Ec; Que vet alieni Parabolae Diametro Ordinatim. posita est, vel
Diametrum aliquam quocunqe modo socat, vel quae Parabolam secat (ast
ipsi ocetrit) inbinis punctis; nec illius Parabola Diametrum esse, neb
Epsus Diametro ulli paralselam.
Icem; Dux Perabolae Diametro alicui in vertice occurrit ordinarim
applicaris parallela Parabolam in illo puncto contincere.
BC; Duae Parabolam comtineit. Diametri per contactus punctum
Eransennis Ordinarim. applicaris parallelam esse: adeoque eidem Diame
ero Ordinarim posiram.
Elis aurem, aliilq: consimilibus, Ggislarim demonstrandis,
non immorandum esse Centio; Cum ca vel in proxresu praece
dentium Demonstrationum lacis jam oltenla linc; vel ex eildem
principiis tacile demonstrari poline.
 l20  L 1
Sfectiones Ceometricae.
praecedentibus, non erie disticile Ocometricas
Cofectiones colligere. Duta,
Datae Parabolae Diaemerram invenire. Nam recta, quastibet duas
inCcripeas parallelas bilecans, es Diameter.
Item, Per darum quodvis in eodem plano punctum, rectam ducore qua
sic Parabolae datae Diameter. Inventa enim Cuc prius) una quali
bet diamerro, recca huic parallela per datum punctum ducta,
eAt Diameter quaelica.
lcem, Parabolae Anem reperire. InTeripea nempe recta quae Dia
mecrum quamlibet ad angulos rectos lecet; ca quae per hujus
medium punctum cransie Diameter, eAt Parabolae AXIS.
Icem, Darae Diometri ordinatim. applicaras positione invenire. Vel,
Quod tancundem c, anculum inclinarionis invenire. Ductis nem-
Debinis diametro dara parallelis rectis, urrinq; ab illa aequali-
ter remoris, quae Parabolam secene; recta lectionum puncta
conjunsens c dara diametro ordinacim applicata, reliqua 4i
omnes huic parallelae.
Icem, L.atus. Rectum invenire data in dstâ Parabolâ Diametro con-
veniens. F. H enim Lacus. rectum, Diametro. IntErCCDIX e OC
dinacim