## Elements of Geometry and Trigonometry |

### From inside the book

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**sides**equal ; a scalene triangle , one which has its three**sides**unequal . 16. A right - angled triangle is one which has a right angle . The**side**opposite the right angle is called the hypothenuse . Thus , in the triangle ABC , right ...Page 32

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**sides**and angles are equal . Let ABCD be a parallelogram : then will AB = DC , AD = BC , A = C , and ADC = ABC . PROPOSITION XXVIII . THEOREM . B For , draw the diagonal BD . The triangles ABD , DBC , have a common**side**BD ; and since ...Page 113

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**side**of the regular polygon of fifteen**sides**, or pentedecagon . It is evident also , that the arc CL is the third of CB . Scholium . Any regular polygon being inscribed , if the arcs subtended by its**sides**be severally bisected , the ...### Contents

Ratios and Proportions | 34 |

The Circle and the Measurement of Angles | 41 |

Problems relating to the First and Third Books | 57 |

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### 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 consequently convex surface Cosine Cotang 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 M.
M. Sine number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant segment similar slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line Tang tangent THEOREM triangle ABC triangular prism vertex