## Elements of Geometry and Trigonometry |

### From inside the book

Page 51

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**suppose**AB - DE , the angle ACB will be equal to DCE . For , if these angles are not equal ,**suppose**ACB to be the greater , and let ACI be taken equal to DCE . From what has just been shown , we shall have AI - DE : but , by hypothesis ...Page 52

Adrien Marie Legendre Charles Davies.

Adrien Marie Legendre Charles Davies.

**Suppose**, for example , that the angles ACB , DCE , are to each other as 7 is to 4 ; or , which is the same thing ,**suppose**that the angle M , which may serve as a common measure , is contained times ...Page 249

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**Suppose**we find AD or CE 67.84 yards , and the angle BCE = 41 ° 04 ′ in order to find BE , we shall have to solve the right angled triangle BCE , in which the angle C and the adjacent side CE are known . A D To find the side EB . ar ...### 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