## Elements of Geometry and Trigonometry |

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Page 109

Adrien Marie Legendre Charles Davies. BOOK V.

Adrien Marie Legendre Charles Davies. BOOK V.

**REGULAR POLYGONS**, AND THE MEASUREMENT OF THE CIRCLE . Definition . A POLYGON , which is at once equilateral and equiangular , is called a**regular polygon**.**Regular polygons**may have any ...Page 113

... that any of the inscribed

... that any of the inscribed

**polygons**will be less than the inscribed**polygon**of double the number of sides , since a part is less than the whole . K * PROPOSITION VI . PROBLEM . A**regular**inscribed**polygon**being BOOK V. 113.Page 116

...

...

**regular polygon**( Def . ) . The construction which has been made in the case of the square and the octagon , is equally applicable to other polygons . Cor It is evident that the circumscribed square is greater than the circumscribed ...### 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