## Elements of Geometry and Trigonometry |

### From inside the book

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**triangle ABC**, right - angled at A , the side BC is the hypothenuse . B 17. Among the quadrilaterals , we distinguish : The square , which has its sides equal , and its an- gles right - angles . The rectangle , which has its angles ... Page 18

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**triangle**, is 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 ... Page 19

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**triangle ABC**, or upon its base BC , or within it . First Case . The straight line GC < GI + IC , and the straight line AB < AI + IB ; therefore , GC + AB < GI + AI + IC + ĪB , or , which is the same thing , GC + AB < AG + BC . Take ... Page 21

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**triangle**are equal , the sides oppo- site them are also equal , and the**triangle**is isosceles . Let the angle**ABC**be equal to the angle ACB ; then will the side AC be equal to the side AB . D For , if these sides are not equal , suppose ... Page 29

... ABC be any triangle : then will the an- gle C + A + B be equal to two right angles . B AD For , produce the side CA ... ABC , BAE , will be equal : hence the three angles of the

... ABC be any triangle : then will the an- gle C + A + B be equal to two right angles . B AD For , produce the side CA ... ABC , BAE , will be equal : hence the three angles of the

**triangle ABC**make up the same sum as the three angles ...### Other editions - View all

### 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 convex surface Cosine 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 logarithm number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall 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 Cotang slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex