# Mathematics: Compiled from the Best Authors and Intended to be the Text-book of the Course of Private Lectures on These Sciences in the University at Cambridge, тЭЛОР 2

Printed at the University Press, by WilliamHilliard, 1801
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### пЕЯИЕВЭЛЕМА

 DEFINITIONS 11 Problems 25 Instruments and Field Book 207 Practice of Surveying Page 215 Planning and Computing 246 Division of Land 260 Levelling 266 Plane Sailing 275
 CONIC SECTIONS 349 Ellipse 356 Hyperbola 379 Parabola 404 DIALING 419 SPHERICAL GEOMETRY 457 Stereographic Projection 464 Projections of the Sphere 484

### дГЛОЖИКч АПОСПэСЛАТА

сЕКъДА 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.
сЕКъДА 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...
сЕКъДА 83 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
сЕКъДА 326 - 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...
сЕКъДА 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.
сЕКъДА 83 - 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.
сЕКъДА 83 - The sphere may be conceived to be formed by the revolution of a semicircle about its diameter, which remains fixed.
сЕКъДА 130 - 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...
сЕКъДА 205 - 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.
сЕКъДА 38 - Multiply the sum of the two parallel sides by the perpendicular distance between them, and half the product will be the area.