Spherical Trigonometry: For the Use of Colleges and SchoolsMacmillan and Company, 1863 - 132 σελίδες |
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Σελίδα 3
... Suppose a great circle to pass through the points P and D ; then the chord PD is constant , and therefore the arc of a great circle intercepted between P and D is constant for all positions of D on the circle AB . Thus the distance of a ...
... Suppose a great circle to pass through the points P and D ; then the chord PD is constant , and therefore the arc of a great circle intercepted between P and D is constant for all positions of D on the circle AB . Thus the distance of a ...
Σελίδα 5
... suppose PA and PC to be quadrants , and O the centre of the sphere ; then since PA and PC are quadrants , the angles POC and POA are right angles . Hence PO is at right angles to the plane AOC , and P is a pole of the great circle AC ...
... suppose PA and PC to be quadrants , and O the centre of the sphere ; then since PA and PC are quadrants , the angles POC and POA are right angles . Hence PO is at right angles to the plane AOC , and P is a pole of the great circle AC ...
Σελίδα 6
... inclined to each other . 16. Suppose that the angular point of a solid angle is made the centre of a sphere ; then the planes which form the solid angle will cut the sphere in arcs of great circles . 6 SPHERICAL TRIANGLES . II.
... inclined to each other . 16. Suppose that the angular point of a solid angle is made the centre of a sphere ; then the planes which form the solid angle will cut the sphere in arcs of great circles . 6 SPHERICAL TRIANGLES . II.
Σελίδα 7
... suppose a solid angle formed at O by the meeting of three plane angles . Let A B AB , BC , CA be the arcs of great circles in which the planes cut the sphere ; then ABC is a spherical triangle , and the arcs AB , BC , CA are its sides ...
... suppose a solid angle formed at O by the meeting of three plane angles . Let A B AB , BC , CA be the arcs of great circles in which the planes cut the sphere ; then ABC is a spherical triangle , and the arcs AB , BC , CA are its sides ...
Σελίδα 8
... suppose both the angles and sides of a spherical triangle expressed in circular measure . ( Plane Trigonometry , Art . 20. ) 21. In future , unless the contrary be distinctly stated , any arc drawn on the surface of a sphere will be ...
... suppose both the angles and sides of a spherical triangle expressed in circular measure . ( Plane Trigonometry , Art . 20. ) 21. In future , unless the contrary be distinctly stated , any arc drawn on the surface of a sphere will be ...
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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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