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A treatise on surveying and navigation: uniting the theoretical, the practical, and the educational features of these subjects (1852)

Robinson, Horatio N[elson], 1806-1867. [from old catalog] · Cincinnati, J. Ernst · leaf 219

An illustration from A treatise on surveying and navigation: uniting the theoretical, the practical, and the educational features of these subjects, 1852, leaf 219
iangle, is equal to the co-sine of its opposite side, diminished by the rectangle of the cosines of theadjacent sides, divided by the rectangle of the sines of the adjacentsides. mi . cos. ZS— cos. PZ cos. PS That is, cos. P= ; nv • no— sin. PZ sin. PS Now, in place of cos. ZS, we take its equal,… … Then cos. P= cos. L sin. J) * When the observer is in the northern hemisphere, the polar distance iscounted from the north pole; when in the southern hemisphere, from the southpole. LONGITUDE. 215 From a general equation, in plane trigonometry, we have 2 sin.* i i5=l—cos. P Substituting the value…

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