Elements of Geometry and Trigonometry |
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Page 17
... included side EF equal to the included side BC , it may be inferred that the remaining three are also respectively equal , namely , the angle D = A , the side ED = BA , and the side DF - AC . Scholium . Two triangles are said to be ...
... included side EF equal to the included side BC , it may be inferred that the remaining three are also respectively equal , namely , the angle D = A , the side ED = BA , and the side DF - AC . Scholium . Two triangles are said to be ...
Page 195
... included angle of the one are equal to two sides and the included angle of the other , each to each . Suppose the side AB = EF , the side AC EG , and the angle BAC FEG ; then will the two triangles be equal in all their parts ...
... included angle of the one are equal to two sides and the included angle of the other , each to each . Suppose the side AB = EF , the side AC EG , and the angle BAC FEG ; then will the two triangles be equal in all their parts ...
Page 275
... included angle are given . RULE . Add together the logarithms of the two sides and the logarithmic sine of their included angle ; from this sum sub- tract the logarithm of the radius , which is 10 , and the remain- der will be the ...
... included angle are given . RULE . Add together the logarithms of the two sides and the logarithmic sine of their included angle ; from this sum sub- tract the logarithm of the radius , which is 10 , and the remain- der will be the ...
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