Elements of Astronomy With Numerous Examples And Examination Papers

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This measurement is made in a direction perpendicular to the line joining the extremities of the horns, and therefore parallel to the plane of the moon, earth, and sun.
166 THE MOON.
[CHAP, ix* Let AB represent the line of separation of light and darkness on the moon, and P the top of a mountain when just illuminated by the ray PBS, the line PS being per- pendicular to AB, and touching the moon's surface at B. Let E be the earth, and ES' the direction of the sun, as Direction of Sun, FIG. 66.
s
...een from E, which may be taken as parallel to PS, on account of the sun's great distance. The radius of the moon is denoted by r, and the height PC of. The mountain by h; then by Euclid (m. 36), or that is, (2r + h) 2rh + h* (see fig. 66) ; But h being very small compared with r, its square may be neglected ; /2 . -. 2rh = t z or 7* = AT Now the distance t is not measured directly ; what is actually measured being the projection of t on a plane CHAP. IX. ] PHYSICAL STATE OF THE MOON. 167 perpendicular to the line of sight, viz.

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