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A new manual of the elements of astronomy, descriptive and mathematical .. (1868)

Kiddle, Henry, 1824-1891 · New York, Ivison, Phinney, Blakeman & co.; Chicago, S.C. Griggs & co. · leaf 142

An illustration from A new manual of the elements of astronomy, descriptive and mathematical .., 1868, leaf 142
ere ? b. What is the length of theearths shadow ? How demonstrated ? ECLIPSES. 137 th« shadow, must be rfo of S E ; and therefore, S 0 must be \%$ of thewhole distance S E, and, of course, S E, {$% of S O; but O E, thelength of the shadow, is equal to S E— S 0; hence it is equal to yfo ofS O, or… … c. Length of the Moons Shadow.—This can be found by a similarcalculation. Let S (Fig. 88) be the centre of the sun, and O, that of themoon ; P will then be the end of the shadow, and O P its length; and,in the triangles ASP andOMP, A S :MO :: SP : OP. Now, MO isabout 3iT of A S ; hence O P is th of…

Astronomy

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