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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 175

An illustration from A new manual of the elements of astronomy, descriptive and mathematical .., 1868, leaf 175
ving been employedby the old astronomers, and more particularly by Kepler in those,investigations which resulted in the discovery of his third law. Thefollowing is a brief statement of this method:— Let S (Fig. 102), represent the sun, E e the daily arc of movement of theearth, and M m, that of… … angle E S e, since it is the amount of angular movement of the earthfor the time; hence, the third angle oeS becomes known; and the ratio ofo S to e S, since this is equal to the ratio of the sines of o e S and e 08. Inthe triangle o m S we have, in the same manner, the angles o and mSM,the latter…

Astronomy

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