## Spherical Trigonometry, for the Use of Colleges and Schools: With Numerous Examples |

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ambiguity angular approximately arcs base calculated called centre Chapter circular cloth considered constant corresponding cos a cos cosc cosines deduce demonstrated denote described determine distance draw drawn edges Edition elements equal equation error example expression faces figure fixed points formed formulæ four give given greater Hence inscribed known length less measured meet method middle point Napier's observed obtain opposite sides perpendicular plane Plane Trigonometry polar triangle pole polygon position preceding Article produced quadrant radius regular polyhedron relation remain respectively result right angles right-angled triangles Rules shew shewn sides Similarly sin b sin sine sinº small circle solid angles solution sphere spherical excess spherical triangle straight lines supplement suppose surface tetrahedron theorem third touches triangle ABC true volume

### Popular passages

Page 28 - If two triangles have two sides of the one equal to two sides of the...

Page 49 - B . sin c = sin b . sin C cos a = cos b . cos c + sin b . sin c cos b = cos a . cos c + sin a . sin c cos A cos B cos c = cos a . cos b + sin a . sin b . cos C ..2), cotg b . sin c = cos G.

Page 12 - Any two sides of a spherical triangle are together greater than the third side.

Page 19 - Thus the sines of the angles of a spherical triangle are proportional to the sines of the opposite sides.

Page 30 - From this proposition, it is obvious that if one angle of a triangle be equal to the sum of the other two angles, that angle is a right angle, as is shewn in Euc.

Page 1 - A sphere is a solid bounded by a surface, every point of which is equally distant from a fixed point called the centre.

Page 62 - A circle which touches one side of a triangle and the other two sides produced, is called an escribed circle of the triangle.

Page 15 - If one angle of a spherical triangle be greater than another, the side opposite the greater angle is greater than the side opposite the less angle.