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

F. C. and J. Rivington, 1811 - Mathematics

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Contents

 PLANE Trigonometry 1 Heights and Distances 17 Mensuration of Planes or Areas 26 Mensuration of Solids 43 s Land Surveying 53 º Artificers Works 81 Conic Sections 93 Of the Thermometer 253
 Of Distances by the Velocity of Sound 275 The Doctrine of Fluxions 286 The Inverse Method of Fluents 301 Of Maxima and Minima 314 Rectification of Curves 323 Curvature of Solids e e 331 Centres of Gravity 341 The Motion of Bodies in Fluids 365

Popular passages

Page 66 - 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 3 - 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 173 - Half the Length of the Pendulum, as the Circumference of a Circle is to its Diameter...
Page 229 - 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 15 - 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 90 - 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 46 - 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 13 - 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 24 - 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 89 - 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...