Mathematical and astronomical tables

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Oliver & Boyd, 1827 - 80 pages
 

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Page 6 - Being on a horizontal plane, and wanting to know the height of a tower on the top of an inaccessible hill, I took the angle of elevation of the top of the hill 40°, and of the top of the tower 51° ; then measuring in a direct line
Page 40 - If a perpendicular be drawn from an angle of a spherical triangle, to the opposite side or base, the sine of the sum of the angles at the base is to the sine of their difference, as the tangent of half the base is to the tangent of half the
Page 31 - II. When, of the five circular parts, any one is taken for the middle part, then, of the remaining four, the two which are immediately adjacent to it on the right and left are called adjacent parts / and the other two, each of which is separated from the middle part by an adjacent part, are called opposite parts.
Page 28 - The sum of any two sides of a spherical triangle is greater than the third side ; and the difference of any two sides is less than the third side.
Page 40 - In oblique-angled spherical triangles a perpendicular arc being drawn from any of the angles upon the opposite side, the cosines of the angles at the base are proportional to the sines of the segments of the vertical angle,
Page 3 - Wanting to know the breadth of a river, I measured 100 yards in a straight line by the side of it ; and at each end of this line I found the angles subtended by the other end, and a tree close by the
Page 12 - part of the fathoms above found, and add them if the mean temperature be above 31", but subtract them if the mean temperature be below 31° ; and the sum or difference will be the true altitude in fathoms ,• or, being multiplied by 6 it will be the altitude in feet.

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