Spherical Trigonometry: For the Use of Colleges and SchoolsMacmillan and Company, 1863 - 132 σελίδες |
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Σελίδα 13
... than 2π ; therefore , A + B + C is greater than π . And since each of the angles A , B , C is less than π , the sum A + B + C is less than 3π . 33. The angles at the base of an isosceles spherical SPHERICAL GEOMETRY . 13.
... than 2π ; therefore , A + B + C is greater than π . And since each of the angles A , B , C is less than π , the sum A + B + C is less than 3π . 33. The angles at the base of an isosceles spherical SPHERICAL GEOMETRY . 13.
Σελίδα 14
... base of an isosceles spherical triangle are equal . B T Let ABC be a spherical triangle having AC = BC ; let O be the centre of the sphere . Draw tangents at the points A and B to the arcs AC and BC respectively ; these will meet OC ...
... base of an isosceles spherical triangle are equal . B T Let ABC be a spherical triangle having AC = BC ; let O be the centre of the sphere . Draw tangents at the points A and B to the arcs AC and BC respectively ; these will meet OC ...
Σελίδα 28
... bases will be equal . We may shew that the bases are equal by applying the first formula in Art . 39 to each triangle ... base of that which has the greater angle will be greater than the 28 RELATIONS BETWEEN THE TRIGONOMETRICAL FUNCTIONS.
... bases will be equal . We may shew that the bases are equal by applying the first formula in Art . 39 to each triangle ... base of that which has the greater angle will be greater than the 28 RELATIONS BETWEEN THE TRIGONOMETRICAL FUNCTIONS.
Σελίδα 29
... base of the other ; and conversely . Let b and c denote the sides which are equal in the two tri- angles ; let a be the base and A the opposite angle of one triangle , and a ' and A ' similar quantities for the other . Then therefore ...
... base of the other ; and conversely . Let b and c denote the sides which are equal in the two tri- angles ; let a be the base and A the opposite angle of one triangle , and a ' and A ' similar quantities for the other . Then therefore ...
Σελίδα 46
... base , the triangle is divided into two equal right - angled triangles ; by the solution of one of these right - angled triangles the required elements can be found . ( 3 ) Suppose among the given elements of a triangle there are two ...
... base , the triangle is divided into two equal right - angled triangles ; by the solution of one of these right - angled triangles the required elements can be found . ( 3 ) Suppose among the given elements of a triangle there are two ...
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a+b+c angular points approximately bisecting calculated centre circle described circular measure cos b cos cos² cos³ cosb cosines Crown 8vo deduce denote equal equation Fcap Fellow of St formed formulæ given greater Hence inscribed John's College late Fellow less Let ABC limp cloth lune M.A. Fellow middle point Napier's analogies Napier's Rules obtain perpendicular plane triangle Plane Trigonometry polar triangle pole polygon preceding article primitive triangle quadrant radius regular polyhedron respectively right angles right-angled triangles School Second Edition Sermons preached shew shewn Similarly sin b sin sin² sin³ sine small circle solid angle solution sphere spherical excess spherical triangle Spherical Trigonometry St John's College suppose surface tangent tetrahedron Third Edition Treatise triangle ABC Trinity College University of Cambridge values vols
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