## Elements of Geometry and Trigonometry |

### From inside the book

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**opposite**the right angle is called the hypothenuse . Thus , in the 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 ... Page 15

... and the same straight line . PROPOSITION IV . THEOREM . When two straight lines intersect each other , the

... and the same straight line . PROPOSITION IV . THEOREM . When two straight lines intersect each other , the

**opposite**or ver- tical angles , which they form , are equal . Let AB and DE be two straight A lines ,. BOOK I. 15. Page 16

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**opposite**or vertical angle ECB ( Ax . 3. ) . Scholium . The four angles formed about a point by two straight lines , which intersect each other , are together equal to four right angles : for the sum of the two angles ACE , ECB , is ... Page 20

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**opposite**the equal sides are equal . Let the side BA be equal to the side AC ; then will the angle C be equal to the angle B. A D For , join the vertex A , and D the middle point of the base BC . Then , the triangles BAD , DAC , will ... Page 21

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**opposite**to the greater an- gle ; and conversely , the greater angle is**opposite**to the greater side . First , Let the angle C be greater than the angle B ; then will the side AB ,**opposite**C , be greater than AC ,**opposite**B. For ...### 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