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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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DeSectionibus Conicis.
PROF 17.
Duas verohujulmodi (ejusdem eltip (eos) diame-
txOSu (Duta Aa, a a) sibi mutuo ordinatim politas,
Diametros Conjucatas dicimus, (que se mutuo bile-
CaNE IN COIIMUNI CCHErO C;) punctayis Aa, vel aa9
conjnearos verrices (in Conjusacis quippe diametris
repertOS) appellamUS.
Elliphn aucem binis Diameeris Conjugatis, carumq; quatu
or vercicibus sic instruetam, voilumus quidem quali Pro quatu
oe sire Flliplibus sire Seetionibus habere, guarum qua libet (u
un habet verticem, Tuamq; Diamecrum, etq: O. dinacim. ap.
plicatas _ Lacus rectum. Ouarum guidem quacuor, binar atas
auae, Opposicas dicas, (UE d Aa_, dae A,) quarum nempe verrices
lune oppolci; binas vero aAa, Rea, vel Aaa, eda, Cquarum
vereices lunt conjugacis urpore in conjugaris diameeris politis)
Coningatas diCaS.
Omamris enim Sectionum Oppositarum _ Conineatarum nomine,
Hyperbola ue plurimum intellisi solcane: nihil camen impedis
quo minus ut Hyperbolass lic) Fllipses Opposicas d Conju-
EaCas dicamuS: vel salcem (siid nominis displiceac) Fllip.
lin dicemus Opposito _ Coniucaro sicu consideratam. Id Calrem
inscre inter quaruor Sectiones Hyperbolicas, cotidemque P Ilip-
cicas, (conjueacis Diamerris accommodatas,) quod hae quio
dem (producta Se mucuo concinunne Cadeoq; FIlipss coca ad
guemris quatuor vereicum referri porerie,) illa aucem non ica.
Verum haec melius soreasse percipientur quum deinccps de Hy-
Perbolis Oppolucis _ Conjugaris dictum erit.
Incerim nocendum eRt, Oppolitarum sive PIlipleon sive V er-
ticum (perincle enim eA verum dicaeur,) Diametrum crant:
verlam communem esse, d quidem Lacera recta xqualia, (vel,
si maris, idem; nos enim de lateris recti lcu nullam prortus
considerationem habemus, sed Polummodo de iplius maxni-
cudine, neq: enim omnino retere relubi, rel an ommino lcritia.
cur auc Ccribi incellieacur,) e quidem caldem Crdinacim ap.
plicatas; Diumetros intercepcas vero oppolicas habene, qua
quidem simulaequancur diametro interceptiX