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# Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193)
# Folio 156, page id 1677894601:0336
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(156
FIyperbolismus Parabolae per hanc aegrrationem
lismi Parabola. dCFMIEUT Z Y Y-F CY = d; ex duas habet alymptotos,
AbIcictam AB _ Ordinatam primam E principalem
AC. IEyperbolae vero in hrac Agura Tunt duae, non
in alimptoton angulis oppolitis led in ansulis qui
lunt deinceps jacentes, idq; ad utrumq; latus ab.
scislae AB, _ vel sine diametro Ei terminus cy ha-
betur, vel cum diametro si terminus ille deest. Ouae
duae species tunt sexagesima quarta e Cexagelima
quinta.
In secundo aequationum casu habebatur aequatio
XY = 283] DZX ] CX ] d. Et Agura in hoc ca(U
hrabet quatuor crura intinita quorum duo Cunt hy-
perbolica circa alimptoton AC in contrarias partes
tendentia et duo Parabolica conversentia e cum
prioribus Speciem Pridentis Fere efformantia. FAq;
haec Figura Parabola ilta per quam Cartelius aequa-
tiones lex dimentionum construxit. Ihaec est igitur
species sexagelima sexta.
In tertio casu aequatio erat Y V = aX F DZX F CX
du e Parabolum desienat cujus crura divereunt
ab invicem X in contrarias partes infinite proore-
diuntur. AbIciCa AB est ejus diameter e species ejus
Cunt quinq; sequentes.
Si aequationis a x- f DX2 F CZ ] d = 0 radices om-
nes AT, AI, AF sunt reales _ inaequales, tigura est
Parabola divergens campanitormis cum Ovali ad
verticem. Ft species est lexagelima septima.
Si radices duae lunt aequales, Parabola prodit vel
nodata contingendo Oralem, vel punctata ob Oralem
infinite parram. Ouae duae species lunt sexagetima
octara et sexagetima nond.
XV
Duo Fsyperbo-
Fis. 6E
Fig. 69
Tridens.
EXVII
Parabolae quin-
que divergentes.
Fig. 70, 71.
S