Spherical Trigonometry: For the Use of Colleges and SchoolsMacmillan and Company, 1863 - 132 páginas |
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Página 1
... surface with the centre is called a radius . A straight line drawn through the centre and terminated both ways by the surface is called a diameter . 2. The section of the surface of a sphere made by any plane is a circle . A B Let AB be ...
... surface with the centre is called a radius . A straight line drawn through the centre and terminated both ways by the surface is called a diameter . 2. The section of the surface of a sphere made by any plane is a circle . A B Let AB be ...
Página 2
... surface a plane can be drawn ; and only one plane can be drawn , except when the two points are the extremities of a diameter of the sphere , and then an infinite number of such planes can be drawn . Hence only one great circle can be ...
... surface a plane can be drawn ; and only one plane can be drawn , except when the two points are the extremities of a diameter of the sphere , and then an infinite number of such planes can be drawn . Hence only one great circle can be ...
Página 5
... 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 and C. ( See the figure ...
... 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 and C. ( See the figure ...
Página 7
... surface of the sphere which is called a spherical triangle if it is bounded by three arcs of great circles ; this will be the case when the solid angle is formed by the meeting of three plane angles . If the solid angle be formed by the ...
... surface of the sphere which is called a spherical triangle if it is bounded by three arcs of great circles ; this will be the case when the solid angle is formed by the meeting of three plane angles . If the solid angle be formed by the ...
Página 8
... 20. ) 21. In future , unless the contrary be distinctly stated , any arc drawn on the surface of a sphere will be supposed to be an arc of a great circle . 22. In spherical triangles each side is restricted to be 8 SPHERICAL TRIANGLES .
... 20. ) 21. In future , unless the contrary be distinctly stated , any arc drawn on the surface of a sphere will be supposed to be an arc of a great circle . 22. In spherical triangles each side is restricted to be 8 SPHERICAL TRIANGLES .
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Términos y frases comunes
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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