Spherical Trigonometry: For the Use of Colleges and SchoolsMacmillan and Company, 1863 - 132 σελίδες |
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Σελίδα 7
... Similarly angles formed in like manner at B and C are the other angles of the spherical triangle . 19. The principal part of a treatise on spherical trigonometry consists of theorems relating to spherical triangles ; it is therefore ...
... Similarly angles formed in like manner at B and C are the other angles of the spherical triangle . 19. The principal part of a treatise on spherical trigonometry consists of theorems relating to spherical triangles ; it is therefore ...
Σελίδα 9
... Similarly it may be shewn that B is a pole of C'A ' , and that B and B are on the same side of C'A ' ; also that C is a pole of A'B ' , and that C and Care on the same side of A'B ' . Thus ABC is the polar triangle of A'B'C ' . 27. The ...
... Similarly it may be shewn that B is a pole of C'A ' , and that B and B are on the same side of C'A ' ; also that C is a pole of A'B ' , and that C and Care on the same side of A'B ' . Thus ABC is the polar triangle of A'B'C ' . 27. The ...
Σελίδα 11
... Similarly it may be shewn that B is a pole of C'A ' , and that B and B are on the same side of C'A ' ; also that C is a pole of A'B ' , and that C and C ' are on the same side of A'B ' . Thus ABC is the polar triangle of A'B'C ' . 27 ...
... Similarly it may be shewn that B is a pole of C'A ' , and that B and B are on the same side of C'A ' ; also that C is a pole of A'B ' , and that C and C ' are on the same side of A'B ' . Thus ABC is the polar triangle of A'B'C ' . 27 ...
Σελίδα 12
... Similarly it may be shewn that C'A ' is the supplement of B , and A'B ' the supplement of C. And since ABC is the polar triangle of A'B'C ' , it follows that BC , CA , AB are respectively the supplements of A ' , B ' , C ′ ; that is , A ...
... Similarly it may be shewn that C'A ' is the supplement of B , and A'B ' the supplement of C. And since ABC is the polar triangle of A'B'C ' , it follows that BC , CA , AB are respectively the supplements of A ' , B ' , C ′ ; that is , A ...
Σελίδα 20
... Similarly , PD = OP sin b sin C ; therefore therefore OP sin c sin B = OP sin b sin C ' ; sin B sin b sin C sin c The figure supposes b , c , B , and C each less than a right angle ; it will be found on examination that the proof will ...
... Similarly , PD = OP sin b sin C ; therefore therefore OP sin c sin B = OP sin b sin C ' ; sin B sin b sin C sin c The figure supposes b , c , B , and C each less than a right angle ; it will be found on examination that the proof will ...
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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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