## 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 196

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**Suppose**the side AB - AC ; we shall have the angle C = B . For , if the arc AD be drawn from the vertex A to the middle point D of the base , the two triangles ABD , ACD , will have all the sides of the one respectively equal to the ...### Contents

BOOK | 7 |

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

BOOK IV | 68 |

14 other sections not shown

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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