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acting altitude angle axis ball base becomes body bottom breadth centre centre of gravity circle circumference column common consequently constant contained Corol Cosine Cotang curve density descending described determine diameter difference direction distance divided draw drawn equal equation Exam EXAMPLES expression fall feet figure fluent fluid fluxion foot force given gives greatest half Hence inches increased length less mean measure motion moving multiply namely nature nearly parallel pass perpendicular plane position pressure PROBLEM proportion PROPOSITION quantity QUEST radius ratio rectangle resistance rule side sine solid space specific gravity square supposing surface taken Tang tangent theor THEOREM triangle turn velocity weight whole yards
64. lappuse - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
171. lappuse - Half the Length of the Pendulum, as the Circumference of a Circle is to its Diameter...
227. lappuse - Hence the magnitude of the whole body, is to the magnitude of the part immersed, as the specific gravity of the fluid, is to that of the body.
13. lappuse - As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.
88. lappuse - GLAZIERS' WORK. Glaziers take their dimensions either in feet, inches, and parts ; or feet, tenths, and hundredths. And they compute their work in square feet. In taking the length and breadth of a window, the cross bars between the squares are included. Also, windows of round or oval forms are measured as square, measuring them to their greatest length and breadth, on account of the waste in cutting the glass.
44. lappuse - Ex. 2. To find the whole surface of a triangular prism, whose length is 20 feet, and each side of its end or base 18 inches.
11. lappuse - DF; that is, as the sum of the sides is to the difference of the sides, so is the tangent of half the sum of the opposite angles, to the tangent of half their difference.
22. lappuse - A ladder 40 feet long may be so placed that it shall reach a window 33 feet from the ground on one side of the street, and by turning it over, without moving the foot out of its place, it will do the same by a window 21 feet high on the other side. Required the breadth of the street.