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# Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193)
# Folio 150, page id 1677894601:0330
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l15O
oppolitis aequaliter dictans. Ft hae quatuor species
Diametrum non hrabent.
Vertuntur etiam species decima quarta ac decima
sexta in vigelimam octaram, decima quinta ac de
cima septima in risetimam nonam, decima octava
ex decima nona in tricelimam, et rigelima cum rise.
Cima prima in tricesimam primam. Et ae species
unicam habent diametru.
Ac deniq: species vigelima secunda e vigelims
certia vertuntur in speciem tricelimam secundam cu
jus tres lunt Diametri per concurtum alrmptoton
transeuntes. Duae omnesi convertiones Facillime in-
celliguntur Faciendo ut triansulum ab alymptotis
comprehentum diminuatur donec in Punetum era.
nelcat.
Si in primo aequationum casu terminuS aX nC
defectivae diame- aCIruS est, Figura erit IIyberbola defectira unicam
rum non haben- habens alymptoton ec duo tantum crura Llyperbo.
lica juxta asimptoton illam in plasas Contrarias In-
tinite progredientia. Ft alrmptotos illa est Ordi-
nata prima ec principalis ACF. Si termInUS CY nON
deec troura nullam habebit Diametium, si deest ha-
bebic unicam. In priori casu species sC enume
rantUI.
Si aequationis hujus a x = bX F CXX ] dX ] Z CC,
TadiCeS OIHeS A X, A P, AP, A ∞, Cunt reales e in-
aequales, Figura erit Ayperbola ansuinea alimpto-
con dexu contrario amplexa, cum Ovali conjusata.
Ouae species est tricesima tertia.
Si radices duae mediae AP e Ap aequentur inter
le, Oralis et Anguinea junguntur lele decustantes
in Torma Nodi. Duae est species cricelima quaita.
Fis. 38
syperbola sex
Fid. 4C