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a lot of when the celebrity manner, if ACBD (in
Fig. three ] reprefent a Glafs ſpherically gibbous on each each (uſually referred to as a Lens, ſuch as could be a could be a, or Spectacle glaſs, or AN Object glaſs of a Teleſcope) and or not it's needed to understand however lightweight falling upon it from any lucid purpose Q
ſhall be refracted, let Q M repreſent a Ray
falling upon any purpose M of its firſt ſpherical
Surface ACB, and by building a Perpendicular
to the Glaſs at the purpose M, notice the firſt re-
fracted Ray M N by the Proportion of the
Sines seventeen to eleven.
Let that Ray in going out of the Glaſs be incident upon N, and so notice
the ſecond refracted Ray weight unit by the Proporti-
on of the Sines eleven to seventeen.
And when the ſame manner might the Refraction be found once the
Lens is gibbous on one ſide and Plane or Con-
cave on the opposite, or bowl-shaped on each each.
A X. VI.
Homogeneal Rays that ensue feveral
Points of any Object, and fall sheer or almoſt sheer on any reflective or refract- ing Plane or ſpherical Surface, ſhall afterward diverge from ſo several alternative Points, or be Parallel to ſo several alternative Lines, or converge to ſo several alternative Points, either accurately or with none with none.
and therefore the and therefore the can happen, if the
Rays be mirrored or refracted ſucceſſively by 2 or 3 or additional Plane or Spherical Surfaces.
the purpose from that Rays diverge or to
which they converge could also be referred to as their Focus.
and therefore the focus of the incident Rays being gi-
ven, that of the mirrored or refracted ones might
be
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be found by finding the Refraction of any 2
Rays, as above; or additional promptly therefore.
Caf. 1. Let ACB [in Fig. 4.] be a reflective or
refracting Plane, and also the focus of the incident Rays, and letter of the alphabet letter of the alphabet C a perpendicular thereto Plane.
And if this perpendicular be made to nine,
ſo that letter of the alphabet C be capable QC, the purpose letter of the alphabet, fhall
be the main focus of the mirrored Rays. Or if qC
be taken on the ſame ſide of the Plane with
QC and in Proportion to a C because the sin of
Incidence to the sin of Refraction, the purpose the purpose be the main focus of the refracted Rays.
Caf.2. Let ACB [in Fig. 5.] be the reflective
Surface of any Sphere whoſe Center is E. Bi-
ſect any Radius therefrom (fuppofe EC) in T,
and if in this Radius on the ſame fide the purpose T you are taking the Points letter of the alphabet and letter of the alphabet, ſo that TO, TÉ, and T , be continual Proportionals, and also the purpose letter of the alphabet be the main focus of the incident Rays, the purpose letter of the alphabet ihall be the main focus of the mirrored ones.
Cal 3. Let ACB [in Fig. 6.] be the refracting
Surface of any Sphere whole Center is E. In
any Radius therefrom E C made each ways in which
take ET and Ct capable each other and fe-
verally in ſuch Proportion thereto Radius as
the leffer of the Sines of Incidence and Re-
fraction hath to the distinction of thoſe Sines.
And then if within the within the you discover any 2
Points letter of the alphabet and letter of the alphabet, ſo that TQ be to ET as Et
to t q, taking t letter of the alphabet the contrary manner from t that TQ lieth from T, and if the purpose letter of the alphabet be the main focus of any incident Rays, the purpose the purpose be the main focus of the refracted ones.
And
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