Elements of Geometry and Trigonometry |
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Page 10
... greater or less as the lines are more or less inclined or opened . The point of intersection A is the vertex of the angle , and the lines AB , AC , are its sides . A -B The angle is sometimes designated simply by the letter at the ...
... greater or less as the lines are more or less inclined or opened . The point of intersection A is the vertex of the angle , and the lines AB , AC , are its sides . A -B The angle is sometimes designated simply by the letter at the ...
Page 12
... greater than B , the expression A > B is used ; the smaller quantity being always at the vertex of the angle . The sign is called plus : it indicates addition . The sign is called minus : it indicates subtraction . Thus , A + B ...
... greater than B , the expression A > B is used ; the smaller quantity being always at the vertex of the angle . The sign is called plus : it indicates addition . The sign is called minus : it indicates subtraction . Thus , A + B ...
Page 13
... greater than any of its parts . 9. The whole is equal to the sum of all its parts . 10. All right angles are equal to each other . 11 From one point to another only one straight line can be drawn . 12. Through the same point , only one ...
... greater than any of its parts . 9. The whole is equal to the sum of all its parts . 10. All right angles are equal to each other . 11 From one point to another only one straight line can be drawn . 12. Through the same point , only one ...
Page 18
... greater than the third side . Let ABC be a triangle : then will the sum of two of its sides , as AC , CB , be greater than the third side AB . For the straight line AB is the short- est distance between the points A and B ( Def . 3 ...
... greater than the third side . Let ABC be a triangle : then will the sum of two of its sides , as AC , CB , be greater than the third side AB . For the straight line AB is the short- est distance between the points A and B ( Def . 3 ...
Page 19
... greater than the third side EF of the second ; then will the an- gle BAC of the first triangle , be greater than the angle EDF of the second . G E H For , if not , the angle BAC must be equal to EDF , or less than it . In the first case ...
... greater than the third side EF of the second ; then will the an- gle BAC of the first triangle , be greater than the angle EDF of the second . G E H For , if not , the angle BAC must be equal to EDF , or less than it . In the first case ...
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Common terms and phrases
adjacent altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface cosine cotangent cylinder diagonal diameter dicular distance divided draw drawn equal angles 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 logarithm measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex