Elements of Geometry and Trigonometry |
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Page 207
... remaining ones can be determined . Plane Trigonometry explains the methods of finding , by cal- culation , the unknown parts of a rectilineal triangle , when a sufficient number of the six parts are given . When three of the six parts ...
... remaining ones can be determined . Plane Trigonometry explains the methods of finding , by cal- culation , the unknown parts of a rectilineal triangle , when a sufficient number of the six parts are given . When three of the six parts ...
Page 239
... remaining parts . First , subtract the sum of the two angles from two right an- gles , the remainder will be the third angle . The remaining sides can then be found by Theorem III . I. In the triangle ABC , there are given the angle A ...
... remaining parts . First , subtract the sum of the two angles from two right an- gles , the remainder will be the third angle . The remaining sides can then be found by Theorem III . I. In the triangle ABC , there are given the angle A ...
Page 240
... remaining parts . Describe the triangles ACB , ACB ' , as in Prob . XI . Book III . Then find the angle B by Theorem III . A d B B ' As side B'C or BC 117 ar . - comp . log . 7.931814 Is to side AC 216 2.334454 So is sine A 22 ° 37 ...
... remaining parts . Describe the triangles ACB , ACB ' , as in Prob . XI . Book III . Then find the angle B by Theorem III . A d B B ' As side B'C or BC 117 ar . - comp . log . 7.931814 Is to side AC 216 2.334454 So is sine A 22 ° 37 ...
Page 241
... remaining angles . B a Let ABC be a triangle , B the given angle , and c and a the given sides . Knowing the angle B , we shall like- wise know the sum of the other two an- gles C + A = 180 ° -B , and their half sum ( C + A ) = 90 — B ...
... remaining angles . B a Let ABC be a triangle , B the given angle , and c and a the given sides . Knowing the angle B , we shall like- wise know the sum of the other two an- gles C + A = 180 ° -B , and their half sum ( C + A ) = 90 — B ...
Page 256
... remaining parts . First , to find the side c . B C A The hypothenuse a corresponds to the middle part , and the extremes are adjacent : hence R cos a = cos b cos c , or As cos b 42 ° 12 ′ , Is to R - · So is cos a 64 ° 40 ' To cos C 54 ...
... remaining parts . First , to find the side c . B C A The hypothenuse a corresponds to the middle part , and the extremes are adjacent : hence R cos a = cos b cos c , or As cos b 42 ° 12 ′ , Is to R - · So is cos a 64 ° 40 ' To cos C 54 ...
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone convex surface Cosine Cotang cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar sine solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex