## Elements of Geometry and Trigonometry |

### From inside the book

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**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 . A4 -B The angle is sometimes designated simply by the letter at the ... Page 12

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**greater**than B , the expression A > B is used ; the smaller quantity being always at the vertex of the angle . The sign The sign is called minus : it indicates subtraction . Thus , A + B , represents the sum of the quantities A and B ... Page 13

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**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

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**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 line AB is the shortest dis- tance between the points A and B ( Def . 3. ) ; hence ... Page 19

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**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 . CE E F For , if not , the angle BAC must be equal to EDF , or less than it . In the first ...### Other editions - View all

### 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