# A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 2

Longman, Orme & Company, 1843

### Contents

 SPHERICAL TRIGONOMETRY 1 THE CONIC SECTIONS 104 38 192 Circles inscribed and circum 213 Analogies 229 The circle rectilinear equations 341
 264 396 Miscellaneous exercises in spherics gene 434 Radical axes etc of circles 461 288 468 Tangent 499 Pole and polar 508

### Popular passages

Page 2 - A diameter is any straight line drawn through the centre and terminated both ways by the surface.
Page 10 - Any two sides of a spherical triangle are together greater than the third side.
Page 14 - The problem is impossible when one of the given sides is equal to or greater than the sum of the other two (I. 66). F C" E PROPOSITION XXXV.— PROBLEM.
Page 311 - ... the points of intersection of the three pairs of opposite sides, of a hexagon inscribed in a conic, lie in one straight line.
Page 34 - Law of cosines for sides: cos a = cos b cos с + sin 6 sin с cos A cos b = cos a cos с + sin a sin с cos ß cos с = cos a cos...
Page 151 - If a Tangent and Ordinate be drawn from any Point in the Curve, meeting the Transverse Axis ; the Semi-transverse will be a Mean Proportional between the Distances of the said Two Intersections from the Centre. That is, •€A is a mean proportional between CD and CT ; or CD, CA, CT, are continued proportionals.
Page 292 - If two circles touch each other, the straight line joining their centres passes through the point of contact.
Page 105 - MF+MF' is equal to a given line. II. The straight line drawn through the foci, and terminated by the curve, is called the transverse or major axis. The middle of that part of the transverse axis which lies between the foci, is called the centre of the ellipse. The straight line drawn through the centre, at right angles to the transverse axis, and terminated by the curve, is called the conjugate or minor axis. Thus, if the straight line joining F and F...
Page 85 - AMPLITUDE, is an arc of the horizon intercepted between the east or west point, and the centre of the sun, or star, at its rising or setting.