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, Volume 2
Printed at the University Press, by WilliamHilliard, 1801 - Mathematics
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abscisses altitude angle axes axis azimuth base breadth cask centre chord circumference complement cone conjugate cosine course curve declination departure dial diameter diff difference of latitude difference of longitude distance divided drawn ecliptic ellipse equal equinoctial EXAMPLES feet figure find the area frustum gallons height Hence horizon hour angle hour lines hyperbola hypotenuse inches intersection latit length measure Mercator's middle latitude miles NOTE oblique circle opposite ordinate parabola parallel of latitude parallel sailing parallelogram perpendicular plane sailing pole primitive PROBLEM PROBLEM projection Prop proportion PROPOSITION Q. E. D. COR quadrant radius rectangle Required the content right ascension right circle right line right-angled triangle RULE secant segment side sine solidity sphere spherical triangle square star station stile subtract sun's tance tang tangent THEOREM transverse trapezium triangle ABC ullage vertical yards
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 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.
Page 328 - 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 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.
Page 83 - The sphere may be conceived to be formed by the revolution of a semicircle about its diameter, which remains fixed.
Page 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...
Page 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.