Spherical Trigonometry: For the Use of Colleges and SchoolsMacmillan and Company, 1863 - 132 σελίδες |
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Σελίδα 1
... joins any point of the surface with the centre is called a radius . A straight line drawn through the centre and ... join OD , CD . Since OC is perpendicular to the plane , the angle OCD is a right angle ; therefore CD = √ ( OD - OC ) ...
... joins any point of the surface with the centre is called a radius . A straight line drawn through the centre and ... join OD , CD . Since OC is perpendicular to the plane , the angle OCD is a right angle ; therefore CD = √ ( OD - OC ) ...
Σελίδα 2
... joining the two points . 5. The axis of any circle of a sphere is that diameter of the sphere which is perpendicular to the plane of the circle ; the ex- tremities of the axis are called the poles of the circle . The poles of a great ...
... joining the two points . 5. The axis of any circle of a sphere is that diameter of the sphere which is perpendicular to the plane of the circle ; the ex- tremities of the axis are called the poles of the circle . The poles of a great ...
Σελίδα 3
... join CD , OD , PD . Then PD = √ ( PC2 + CD ) ; and PC and CD are constant , therefore PD is constant . Suppose a ... joining the points , or by the arc of a great circle intercepted between the points . 7. The angle subtended at the ...
... join CD , OD , PD . Then PD = √ ( PC2 + CD ) ; and PC and CD are constant , therefore PD is constant . Suppose a ... joining the points , or by the arc of a great circle intercepted between the points . 7. The angle subtended at the ...
Σελίδα 5
... joining a point P on the surface of a sphere with two other points A and C on the surface of the sphere which are not at opposite extremities of a diameter be each of them equal to a quadrant , P is a pole of the great circle through A ...
... joining a point P on the surface of a sphere with two other points A and C on the surface of the sphere which are not at opposite extremities of a diameter be each of them equal to a quadrant , P is a pole of the great circle through A ...
Σελίδα 14
... join TS . In the two triangles SAT , SBT the sides SA , AT , TS are equal to SB , BT , TS respectively ; therefore the angle SAT is equal to the angle SBT ; and these are ' the angles at the base of the spherical triangle . The figure ...
... join TS . In the two triangles SAT , SBT the sides SA , AT , TS are equal to SB , BT , TS respectively ; therefore the angle SAT is equal to the angle SBT ; and these are ' the angles at the base of the spherical triangle . The figure ...
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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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