Spherical Trigonometry: For the Use of Colleges and SchoolsMacmillan and Company, 1863 - 132 σελίδες |
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Σελίδα 29
... elements of Co - ordinate Geometry . Suppose ABC any spherical triangle , O the centre of the sphere , take O as the origin of co - ordinates , and let the axis of pass through C. Let x ,, y , z , be the co - ordinates of 4 , and x , Y2 ...
... elements of Co - ordinate Geometry . Suppose ABC any spherical triangle , O the centre of the sphere , take O as the origin of co - ordinates , and let the axis of pass through C. Let x ,, y , z , be the co - ordinates of 4 , and x , Y2 ...
Σελίδα 32
... elements , namely , the three sides and the three angles , besides the radius of the sphere , which is supposed ... elements are given , we calculate the values of the remaining elements . It will appear , as we proceed , that when the ...
... elements , namely , the three sides and the three angles , besides the radius of the sphere , which is supposed ... elements are given , we calculate the values of the remaining elements . It will appear , as we proceed , that when the ...
Σελίδα 38
... elements of the triangle ABC as usual by a , b , c , A , B , we have in the triangle AED the hypotenuse equal to -b , the angles equal to A and to π 2 π 2 -- π 2 a , and the sides respectively opposite these angles equal π -Band - C ...
... elements of the triangle ABC as usual by a , b , c , A , B , we have in the triangle AED the hypotenuse equal to -b , the angles equal to A and to π 2 π 2 -- π 2 a , and the sides respectively opposite these angles equal π -Band - C ...
Σελίδα 39
... elements of the triangle BAC taken in order , beginning with the hypotenuse and omitting the right angle ; then the elements of the triangle AED taken in order , beginning with the hypotenuse and omitting the right angle , are П π a ; 2 ...
... elements of the triangle BAC taken in order , beginning with the hypotenuse and omitting the right angle ; then the elements of the triangle AED taken in order , beginning with the hypotenuse and omitting the right angle , are П π a ; 2 ...
Σελίδα 46
... elements can be found . ( 3 ) Suppose among the given elements of a triangle there are two sides , one of which is the supplement of the other , or two angles , one of which is the supplement of the other . Suppose , for example , that ...
... elements can be found . ( 3 ) Suppose among the given elements of a triangle there are two sides , one of which is the supplement of the other , or two angles , one of which is the supplement of the other . Suppose , for example , that ...
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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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