## Elements of Geometry and Trigonometry |

### From inside the book

Page 109

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**regular**polygon .**Regular**polygons may have any number of sides : the equi- lateral triangle is one of three sides ; the square is one of four . PROPOSITION I. THEOREM . Two**regular**polygons of the same number of sides are similar ...Page 113

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**regular**decagon , and will re- quire to be applied ten times to the circumference . For , drawing MB , we have by ...**regular**decagon , the pentagon ACEGI will be formed , also**regular**. 3d . AB being still the side of the decagon , let ...Page 205

Adrien Marie Legendre Charles Davies. APPENDIX . THE

Adrien Marie Legendre Charles Davies. APPENDIX . THE

**REGULAR**POLYEDRONS . A**regular**polyedron is one whose faces are all equal**regular**polygons , and whose solid angles are all equal to each other . There are five such polyedrons . First ...### 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