# Mathematics, Volume 2 (Google eBook)

Printed at the University Press, by WilliamHilliard, 1801 - Mathematics

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### Contents

 MENSURATION of SUPERFICIES 30 MENSURATION of SOLIDS 91 Problems relating to the content of a Cube Parallelopipe 97 Miscellaneous Questions 139 GAUGING 153 HEIGHTS and DISTANCES 169 SURVEYING 207 Practice of Surveying KV 246
 Traverse Sailing 301 Parallel Sailing 307 CONIC SECTIONS 349 Ellipse I 356 DIALING 419 SPHERICAL GEOMETRY 457 Stereographic Projection 464 Projections of the Sphere 484

 Division of Land o 260 Levelling m 266 Plane Sailing 275 Oblique Plane Sailing 28c5 286
 SPHERICAL TRIGONOMETRY 501 Rectangular Spherical Trigonometry 512 Rectilateral Spherical Trigonometry 528 SPHERICAL ASTRONOMY 555

### Popular passages

Page 21 - 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 17 - To find the other side: — as the sum of the two given sides is to their difference, so is the tangent of half the sum of their opposite angles to the tangent of half their difference...
Page 93 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 352 - The conjugate to any diameter is the line drawn through the centre, and parallel to the tangent of the curve at the vertex of the diameter. So...
Page 28 - But if the hypothenuse be made radius -, then each leg "will represent the sine of its opposite angle ; namely, the leg AB the sine of the arc AE or angle c, and the leg BC the sine of the arc CD or angle A.
Page 93 - The axis of a solid is a line drawn from the middle of one end to the middle of the opposite end ; as between the opposite ends of a prism.
Page 93 - The sphere may be conceived to be formed by the revolution of a semicircle about its diameter, which remains fixed.
Page 140 - Between these, in a right line, stands an ancient statue, the head whereof is 97 feet from the summit of the higher, and 86 feet from the top of the lower column, and the distance between the...
Page 227 - 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 38 - Multiply the sum of the two parallel sides by the perpendicular distance between them, and half the product will be the area.