## Elements of Geometry and Trigonometry |

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Page 32

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**parallelogram**, the opposite sides and angles are equal . Let ABCD be a**parallelogram**: then will D AB = DC , AD = BC , A = C , and ADC = ABC . = B For , draw the diagonal BD . The triangles ABD , DBC , have a common side BD ; and A ...Page 70

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**parallelogram**is equivalent to the rectangle which has the same base and the same altitude . PROPOSITION II . THEOREM . Every triangle is half the**parallelogram**which has the same base and the same altitude . E H D G C F A B Let ABCD be ...Page 74

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**parallelogram**ABCD . E C B Cor .**Parallelograms**of the same base are to each other as their altitudes ; and**parallelograms**of the same altitude are to each other as their bases : for , let B be the common base , and C and D the ...### Contents

BOOK | 7 |

Problems relating to the First and Third Books 57 | 57 |

BOOK IV | 68 |

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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 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 sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line TABLE OF LOGARITHMIC tang tangent THEOREM triangle ABC triangular prism vertex