Barrow, Isaac - Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur

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9072 cùm eum tunc reflexi convergentes appellant; & imago diſtinctior Z
poſt oculum conſiſtat. quin ejuſmodi complures apparentias obſerva-
bitisipſi ſi lubet, & ex his deducetis ‖

XVI. Prætereà, _dato oculi centro, velut O, quonodo deſignandus_
_ſit ipſum pervadens reflexus_ (ceu N π) è ſuprà tractatis aliquatenus
adparet. nec inibi generaliùs expoſitum _Problema_ libet h@c repo-
11Fig. 103.nere.

XVII. Quinetiam antedicta recenſendo conſtabit, ſi biſecentur ſubtenſa
PN in E; & ſubtenſa N π in F; ac fiat FZ. ZN: : EA. NA;
radiantis imaginem, visûs O reſpectu, circa punctum Z conſiſtere.
planè ſimilis eſt diſcurſus, quorſum κικζ@‖

XVIII. Supereſt tantùm, ut de poſteriore quem innuebamus caſu
paucula ſubdamus. Eò, ponatur AC = AG = A γ; indè quilibet
incidens cavo GB γ radius ipsâ AC minor erit; ſit talis alicujus
AN reflexus N π; qui nempe retro productus cum axe conveniet;
puta ad K. Etiam hic præcedentibus conformia deprehendentur,
& ſuppari demonſtrabuntur modo; qualia ſunt nempe

XIX. AC. AN: : CK. KN.

XX. ACq - ANq. CN q: : AC. CK.

XXI. Radii AR ipſo AN obliquioris reflexus cum axe concurrat
in L; erit CK. CL: : ACq - ARq. ACq - ANq. ac indè

XXII. CK & lt; CL.

XXIII. Incidentium rectiorum (pares, ut ſuperiùs, arcus in re-
flectente ſumendo) reflexi concurſus habent a ſe minoribus intervallis
diſjunctos. hæc, inquam, & alia quoad reliquos caſus præmonſtra-
tis conformia, vel agnata perſimili quoque quoad hunc caſum metho-
do comprobantur. quare pluribus tempero; ſed enim id quod ubi-
que præcipuum etiam hîc exertiùs oſtendam; præmiſſo tamen hoc, ad
ſequentia quoque concidenda non inutili, _Lemmatio:_

XXIV. Detur recta BC; in ea protracta deſignandum eſt punctum,
velut Z; ita ut BZ ad CZ datam obtineat rationem, puta I ad R. ‖
22Fig. 104. Id facilè ſic exequimur. ‖

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