Spherical Trigonometry: For the Use of Colleges and SchoolsMacmillan and Company, 1863 - 132 páginas |
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Página 1
... hence CD is constant . Thus all points in the plane section are equally distant from the fixed point C ; therefore the section is a circle of which C is the centre . 3. The section of the surface of a sphere by a plane is called a great ...
... hence CD is constant . Thus all points in the plane section are equally distant from the fixed point C ; therefore the section is a circle of which C is the centre . 3. The section of the surface of a sphere by a plane is called a great ...
Página 2
... Hence only one great circle can be drawn through two given points on the surface of a sphere , except when the points are the extremities of a diameter of the sphere . When only one great circle can be drawn through two given points ...
... Hence only one great circle can be drawn through two given points on the surface of a sphere , except when the points are the extremities of a diameter of the sphere . When only one great circle can be drawn through two given points ...
Página 3
... and ON , which are in the plane AOB . Hence MON is the angle of inclination of the planes OCD and OCE . And the angle AOBAOM - BOM = BON – BOM = MON . - circles is meant the angle Thus , in the figure B 2 GREAT AND SMALL CIRCLES . 3.
... and ON , which are in the plane AOB . Hence MON is the angle of inclination of the planes OCD and OCE . And the angle AOBAOM - BOM = BON – BOM = MON . - circles is meant the angle Thus , in the figure B 2 GREAT AND SMALL CIRCLES . 3.
Página 4
... Hence the angle between any circle and a great circle which passes through its poles is a right angle . 9. Two great circles bisect each other . For since the plane of each great circle passes through the centre of the sphere , the line ...
... Hence the angle between any circle and a great circle which passes through its poles is a right angle . 9. Two great circles bisect each other . For since the plane of each great circle passes through the centre of the sphere , the line ...
Página 5
... Hence PO is at right angles to the plane AOC , and P is a pole of the great circle AC . 12. Great circles which pass through the poles of a great circle are called secondaries to that circle . Thus , in the figure of Art . 7 the point C ...
... Hence PO is at right angles to the plane AOC , and P is a pole of the great circle AC . 12. Great circles which pass through the poles of a great circle are called secondaries to that circle . Thus , in the figure of Art . 7 the point C ...
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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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