## A Treatise on Spherical Trigonometry: And Its Application to Geodesy and Astronomy, with Numerous Examples |

### Other editions - View all

### Common terms and phrases

ABCD angle of intersection arcs joining b₁ bisect bisector c₁ called Casey centre of similitude circle touch circumcircle circumradius colunar triangles corresponding cos b cos cosē cosb cosc cosec cosines cot A cot CRELLE's Journal DEM.-Let denote diagonals diametral triangle dihedral angles equal equation Euclid fixed point formulae Geometry given point Hence inscribed inverse isogonal conjugate latitude locus lune middle points perpendicular plane triangle polar triangle pole quadrant radius respectively right angles right-angled triangle SECTION side BC sin b sin sinē sine small circle solid angle sphere spherical angle spherical centre spherical excess spherical polygon spherical quadrilateral spherical triangle ABC Spherical Trigonometry Staudtian supplemental triangle tanē tana tanc tangents tetrahedron theorem three angles three sides Trigonometry trihedral angle values

### Popular passages

Page 10 - Any two sides of a spherical triangle are together greater than the third side.

Page ii - Fcp. 8vo., 3r. 6d. A TREATISE ON THE ANALYTICAL GEOMETRY OF THE POINT, LINE, CIRCLE AND CONIC SECTIONS. Containing an Account of its most recent Extension. Crown 8vo., 12s.

Page 24 - That is, the sines of the sides of a spherical triangle are proportional to the sines of the opposite angles.

Page 23 - The lines joining the vertices of a triangle to the middle points of the opposite sides are called its medians.

Page 13 - A system of coordinates defining a point on a sphere or spheroid by its angular distances from a primary great circle and from a reference secondary great circle, as latitude and longitude. See celestial coordinates.

Page 1 - A sphere is a solid figure described by the revolution of a semicircle about its diameter, which remains fixed.