Elements of Geometry and Trigonometry |
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Page 207
... equations of the problem . The solu- tion of these equations , when so formed , gives the solution of the problem . No general rule can be given for forming the equations . The equations must be independent of each other , and their ...
... equations of the problem . The solu- tion of these equations , when so formed , gives the solution of the problem . No general rule can be given for forming the equations . The equations must be independent of each other , and their ...
Page 257
... equations , cot a sin b = cos b cos C + cot A sin C cot b sin c = cos c cos A + cot B sin A ( 9. ) cot c sin a cos a cos B + cot C sin B That is , in every spherical triangle , the cotangent of one of the sides into the sine of a second ...
... equations , cot a sin b = cos b cos C + cot A sin C cot b sin c = cos c cos A + cot B sin A ( 9. ) cot c sin a cos a cos B + cot C sin B That is , in every spherical triangle , the cotangent of one of the sides into the sine of a second ...
Page 259
... equations for oblique angled triangles , which shall con tain the three corresponding parts of the triangle ... equation will prove the rule for that particular case . For example , let comp . a be the middle SPHERICAL TRIGONOMETRY . 259.
... equations for oblique angled triangles , which shall con tain the three corresponding parts of the triangle ... equation will prove the rule for that particular case . For example , let comp . a be the middle SPHERICAL TRIGONOMETRY . 259.
Contents
BOOK | 7 |
Problems relating to the First and Third Books 57 | 57 |
BOOK IV | 68 |
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone consequently convex surface cosine Cotang cylinder diagonal diameter dicular distance divided draw drawn equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line TABLE OF LOGARITHMIC tang tangent THEOREM triangle ABC triangular prism vertex