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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
# Folio 308, page id 851387705:0328
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l OLCLIOHLVOO
circa eundem axem rectilincum ordinatim positorum; quorum qui-
dem singulorum cxassiries supponitur aequalis d altitudinis tocins F.
sura Colidae.
Oux Cypra ProP. 5, 6. De Pyramide dt Cono, corumque alcicudinibus, axibuis,
planisque ordinatim applicacis; item de Pyramidibus Conisque rectis, scalenis,
luxatis, eec. dicta lunc; cadem Fere Pyramidocidibus et Conocidibus accommodan.
da TUnE.
Fgo vero hanc Conoeidis, (adeoque di Pyramidocidis) Parabolici Formationem
pocius achibeo, quam qua a veceribus aliisque actriberi solica cle, (nempe, cir-
cumducta Semi parabola recta, manente AXC:) quoniam ca tormatio non omni-
bus Conocidibus (sed Lolummodo rectis) nec Dgramidocidibus omnino conrenit.
Atque hoc eadem ratione Facio, qua Apollonius Fuclideam Coni Formationem,
circumducto nempe Priangulo rectangulo, manente laterum circa angulum re-
ctum alterurro,) in aliam commutaric (circumducta nempe per circuli periphe-
riam linea recta, manente ipsius uno aliquo puncto extra circuli planum exsisten-
tC:) quia scilicer Fuclidea ilta Polis Conis rectis conveniebat, haec aurem qui-
bulris sive rectis sive scalenis. Non isitur mirari dehet quispiam, s pronc ille
Euclideam Coni, sc exo Archimedeam Conoeideos, tormarionem specialemus, in aliam
maxis universalem, commutarerim: quxe etiam ee Pyramidocidibus aliis (. de qui-
Dus nulla hactenus, quantum scio, contideratio habita Fuic) pariter conveniat.
Dux autem, de C’onocicibus et Pyramidocidibus Parabolieis Formandis, jam dixi-
muS; eadem de Ellipticis e Fyperbolicis deinceps intelligenda crunt.
LDP. X
PrOP. X.
De Conoeideos C Pyramidoeideos Paraboliei sectione.
T Prramidocides (vel Conocides) Parabolicum plano per axem se-
cetur; cum manifestum sic ipsius infinita numero plana similia (I
communes eorum cum plano lecante sectiones erunt propterea in A-
surarum suarum, (qua quidem Arichmerice proportionales sunt,)
militer secari, et quidem per centra; erunt ca similiter bilecta; atque
adeoque et ditanclarum d verlice, Lubaupicala latione, e propterca,
ut ordinatim applicatae in Parabola. Communis isitur sectio (Pgrami-
doeidis Parabolici, planique per arem secantis,) est Parabola.
Treciarim dillerere: Sunt autem illae omnes (vel ctreuli, vel) Fllipses.
Nota tamen, ut ejusdem Parabolae intinicxe sunt numero Diametri, (ue luo loco
dicetur:) ita e Conocideos Paraboliei infinitos esse (lre Brametros dicas, live)
Ares; qui quidem omnes (ue Parabolarum Biamerri) sunt nvicem paralleli:
dui omnes sua plana habent Ordinatim applicata.
Vercim haec monulle cattetaes cum non lic Muejue idet ba teito ploteesut.
De alis veceocideos Patabolier lecttonous (non per adeu non sibet hic
PROP