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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 19, page id 824573315:0103
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De Sectionibus Conicis.
eAt, quamvis alio acq: alio criansulo Conus per axem divida.
cur. Verbi gracia, Frianeulo VBo (per axem etiam trante.
unci) eadem conreniune quae ipsi VBS convenire dixi
muS.
Non tamen txc ica incelligenda sunc, acti quocunq: Frian-
eulo. peraxem acccpto, cadem numerica Coni-lectio, mertio.
da jam dicta Formaretur: Scd Calcem quocung; Priansulo. per
AXCM ACCEDEO, PUTa VB5, Eeri pOtcC uc illi accommodeneur
coni sectiones eodem modo quo ips V BS. Ouamrisenim ve-
rum sC, quod Coni sectionis O AO, aliquod punctum; uta
sieincrure VB; actamen plonorum O AO, (3BC), commu
nis sectio OO, non cric trianguli VB0 bali B5 perpendicu
laris (quod in Coni lectionis geneti, in propoticione cradica
Supponicuri) supponicur enim perpendicularis esse alii ejusdem
circuli Diameero BS, rectam B0 sccanci; non igitur _ ipI
B0 perpendlicularis ele poccA.
Acincerroeabic Forcalle quispiam, Ouid causae sic, cur illud
postuletur ut recta OO (circulo e C oni- sectioni commu-
nis) lic circuli dieetro BS (in criangulo VBS existenci) per-
pendicularis? Annon enim, h planum secans ad crionsulum.
Per.axem alicer inclinaretur, lecaret luperticiem Coni ? Om
nino. An veroca lectio non una esset ex eis quas definirimus
Esec ommino. Cur isicur illa Cola inclinacio plani secancis ad
rriansulum per axem admitrimr, quae rectam OO rectae BS,
perpendicularem efficiar? RcG ondeo; Ouod alia quaeris incli-
nacio non mines quidem sufficeret ad Coni sectionem aliquam
etticiendum; sed miniis apca. Hec ad Demonttraciones intticu-
endas; com hae plerumu. luxponane rectam OO, ciq: Paralle.
las, a circulorum diamecri bilecari, qued non herecnisi dia-
mecris illis cAen pcrpendiculares. Idcoq. cum Planum C cni
sectionem eAiciens ad varia criancula. per. axem varium incli.
nationem habeas, illud ex omnibus crianeulum Celigunt Coni-
corum scripeores ad cujus basin rectae illa OO Tune perpendi-
culares. Unum enin aliquod crianculum per. axem (_ qui
dem unicum) illud pocitur (nih tortan coni: lccliopiopolica
unus sre ex circulis bali paraIIelis) quomodocunq: Conus a
DlaRO (CCCEUK.
uodnam aurem ex omnitus illad sit, sc inveRicacur; H, verbi
Eratia, C onus V BO, plano sccetur faciente C oni. lcctionem
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