## Elements of Geometry and Trigonometry |

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Page 139

... ABCDE ; from O , a point in that plane , draw to the several angles the straight lines AO , OB , OC , OD , OE ...

... ABCDE ; from O , a point in that plane , draw to the several angles the straight lines AO , OB , OC , OD , OE ...

**polygon ABCDE**: whence it follows , that the sum of all the angles at the bases of the triangles whose vertex is in O , is ...Page 167

... ABCDE , which forms the base of a cone , any

... ABCDE , which forms the base of a cone , any

**polygon ABCDE**be inscribed , and from the vertices A , B , C , D , E , lines be drawn to S , the vertex of the cone , these lines may be regarded as the sides of a pyramid whose base is the ...Page 182

Adrien Marie Legendre Charles Davies. Inscribe in the semicircle

Adrien Marie Legendre Charles Davies. Inscribe in the semicircle

**ABCDE**a regular semi -**polygon**, having any number of sides , and let OI be the radius of the circle inscribed in the**polygon**. B D A F E If the semicircle and semi ...### 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