## 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 line AB is the shortest dis- tance between the points A and B ( Def ... 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 + IB , 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 E A D For , produce the side ... 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 E A D For , produce the side ... ABC , BAE , will be equal : hence the three angles of the

**triangle ABC**make up the same sum as the three angles CAB ...### 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