## A Course of Mathematics ...: Composed for the Use of the Royal Military Academy ... |

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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 curve denote density descending described determine diameter direction distance divided double 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 station supposing surface taken tangent theor THEOREM triangle turn velocity weight whole yards

### Popular passages

Page 64 - 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.

Page 1 - Geom.) is an arc of any circle contained between the two lines which form that angle, the angular point being the centre ; and it is •estimated by the number of degrees contained in that arc.

Page 171 - Half the Length of the Pendulum, as the Circumference of a Circle is to its Diameter...

Page 227 - 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.

Page 13 - 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.

Page 88 - 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.

Page 44 - 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.

Page 11 - 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.

Page 22 - 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.

Page 87 - Required the quantity of plastering in a room, the length being 14 feet 5 inches, breadth 13 feet 2 inches, and height 9 feet 3 inches to the under side of the cornice, which girts...