# 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, ‘ϋλορ 2

University at Cambridge, 1801 - 426 σεκΏδερ

### ‘ι κίμε οι ςώόστερ -”ΐμτανγ ξώιτιξόρ

Ρεμ εμτοπΏσαλε ξώιτιξίρ στιρ σθμόηειρ τοποηεσΏερ.

### –εώιεςϋλεμα

 HEIGHTS AND DISTANCES 169 SURVEYING 207 Planning and Computing 246 Division of Land 260 Levelling 266 Plane Sailing 275 Oblique Plane Sailing 286 Traverse Sailing 301
 Ellipse 356 Hyperbola 379 Parabola 404 DIALING 419 SPHERICAL GEOMETRY 457 Stereographic Projection 464 Projections of the Sphere 484 SPHERICAL TRIGONOMETRY 501

### Ργλοωικό αποσπήσλατα

”εκΏδα 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.
”εκΏδα 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...
”εκΏδα 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.
”εκΏδα 346 - 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...
”εκΏδα 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.
”εκΏδα 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.
”εκΏδα 93 - The sphere may be conceived to be formed by the revolution of a semicircle about its diameter, which remains fixed.
”εκΏδα 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...
”εκΏδα 225 - 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.
”εκΏδα 38 - Multiply the sum of the two parallel sides by the perpendicular distance between them, and half the product will be the area.