Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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&</
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<
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<
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<
s
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xml:space
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">Si _Circulo_ ſubſtituatur _Ellipſis_, eadem concluſio valet idem diſcur-
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ſus probat; </
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<
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<
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">XVIII Habeant _hyperbola_ AEB (cujus axis AZ, parameter AH)
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& </
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<
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DB tota extra _hyperbolam_ cadet, extra verò, ſi infra DB protraha-
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<
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tur.</
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<
s
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">Nam connexæ ZH occurrat BD in I; </
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<
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_rameter_. </
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<
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">Quòd ſi ſupra BD utcunque ducatur recta FEGK ad BD
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parallela, ſecans hyperbolam in E, parabolam in F, rectas AD, ZH
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punctis G, K, erit FGq = AG x DI &</
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re FG &</
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ſecans hyperbolam in N, parabolam in M, rectas AD, ZH in O, & </
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L, erit NO q = AO x OL &</
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&</
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<
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_la._ </
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centrum circuli, & </
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{_s_/_t_} CA; </
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<
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<
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_gulæ_. </
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axin AD = {_s_/_t_} CA; </
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<
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