Geometrical Optics: Adapted to the Use of the Higher Classes in Schools, Etc |
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Page 75
... length . " This is usually written f . Thus I I I - Aq I = I AQF ' where q is the geometrical focus for any point Q. If r and s are equal I = ± 2 ( μ- I ) f for double concave or convex . 63. It should be noticed that we have found this ...
... length . " This is usually written f . Thus I I I - Aq I = I AQF ' where q is the geometrical focus for any point Q. If r and s are equal I = ± 2 ( μ- I ) f for double concave or convex . 63. It should be noticed that we have found this ...
Page 76
... length is negative . If the lens be thinnest in the middle , the reverse is the case . It can be proved thus . Let tangent planes be drawn at Q and R : then the course of the ray is the same as it would be through the prism formed by ...
... length is negative . If the lens be thinnest in the middle , the reverse is the case . It can be proved thus . Let tangent planes be drawn at Q and R : then the course of the ray is the same as it would be through the prism formed by ...
Page 79
... length of a lens is small , the parallel rays from the object are clearly more bent by the lens than when the focal length is large . That is , since ƒ is the focal I length , is a measure of the amount that the rays are bent length ...
... length of a lens is small , the parallel rays from the object are clearly more bent by the lens than when the focal length is large . That is , since ƒ is the focal I length , is a measure of the amount that the rays are bent length ...
Page 80
... length , then I I I I " + + and the effect would be the same . F fi f1 Ja 2 Similarly for any number of lenses , except that then , even for rough calculations , we could not neglect the thicknesses . 67. The focal length of a lens can ...
... length , then I I I I " + + and the effect would be the same . F fi f1 Ja 2 Similarly for any number of lenses , except that then , even for rough calculations , we could not neglect the thicknesses . 67. The focal length of a lens can ...
Page 86
... length , as can be seen by fig . iii . Art . 65 . The eye of a fish is of course adapted to see objects in the water , a dense medium . The lens in the eye must therefore be either very dense or nearly spherical so as 86 [ CHAP ...
... length , as can be seen by fig . iii . Art . 65 . The eye of a fish is of course adapted to see objects in the water , a dense medium . The lens in the eye must therefore be either very dense or nearly spherical so as 86 [ CHAP ...
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a₁ acceleration angle angular velocity arrow axes axis of rotation axle center of gravity cloth coefficient of friction compression concurrent forces consider constant cord cos² couple Crown 8vo curve cylinder diameter direction disk distance dt dt Edition equal fcap Find the center fly wheel forces acting formula gravity axis hammer horizontal inch inertia with respect kinetic energy length lens line of action M₁ M₂ mass mirror moment of inertia motion moving P₁ P₂ pencil pendulum perpendicular plane point of application preceding problem prism pulley R₁ radians per second radius rays refraction represented resistance revolutions revolutions per minute rigid body seen shaft shown in Fig Simpson's Rule speed square Suppose surface T₁ tangential tension tion v₁ vertical weight work-energy equation x-axis zero