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# Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193)
# Folio 149, page id 1677894601:0329
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P 149
Secima quinta si FTyperbola inscripta jacet rextusD,
decima lexta E HTyperbola circumscripta jacet (UD
bali do trianguli Dds, X decima septima si HIy per-
bola inseripta jacet sub eadem batI.
Si duae radices sunt aequales e certia signi diversi Fis. 24.
F18. 23.
Fieura erit cruciformis. Nempe duae extribus Hy-
perbolis seinricem decussabunt idq; vel ad verticem
triansuli ab A(ymptotis comprehensi vel ad ejus ba-
Tem. Ouae duae species sunt decima octara X decima
HOna.
Si duae radices unt inaequales ex ejusdem sioni e
tertia est signi diversi, dux habebuntur LEyperbola
in oppolitis angulis duarum atrimptoton cum Con-
choidali intermedia. Conchoidalis autem vel jace- Fic. 27.
(18. 26.
bit ad ealdem partes alrmptoti lua cum triangulo
ab asimptotis constituto, vel ad partes contrarias;
_ hi duo calus constituunt speciem rigelimam et vi-
gelimam primam.
Frperbola redundans quae habet tres diaetros
constat ex tribus IIrperbolis in sinubus alympEoton redundantes cun
acentibus, idq; vel ad angulos trianguli ab alrmpto. cribus Diametris.
15. 28.
tis comprehensi vel ad ejus latera. Catus prior dat Fig. 29.
Speciem rigelimam secundtam, dt polterior lpeciem vi-
gelImam tertiam.
Si tres alimptori in puncto communi se mutuo
decustant, vertuntur species quinta d sexta in viee vem aundantes
limam quartam, septima X octara in vigelimam cum asymptorii
tribus ad commu-
quintam, e nona in vigelimam sextam ubi Ansuinea ne punctum con-
non transit per concurtum asrmptoton, _ in risel. vergentibus.
mam septimam ubi transit per concursum illum, quo Fis. 30.
Fig. 31.
calu termini b ac d desunt, d concurtus aly mpto- F1 5. 32.
ton est centrum figurae ab omnibus ejus partibus Fis. 33.
Oppoltis
XVII.
Typerbolae duae
XVIIL
Fsyperbolae no-