## Elements of Geometry and Trigonometry |

### From inside the book

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**Prop**. XV . ) . So , ǎikewise , are the two oblique lines AE , EB , the A two AF , FB , and so on . Therefore every point in the perpendicular is equally distant from the extremities A and B. E Secondly , Let I be a point out of the ...Page 74

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**Prop**. I. Cor . ) : but this rectangle is measured by AB × BÉ (**Prop**. IV . Sch . ) ; therefore , AB × BE A is equal to the area of the parallelogram ABCD . E C B Cor . Parallelograms of the same base are to each other as their ...Page 117

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**Prop**. VI . Sch . ) . Produce AO to E , and draw BE . Let P represent the circumscribed polygon , and p the in- scribed polygon : then , since the triangles aOb , AOB , are like parts of P and p , we shall have aOb AOB :: P p ( Book II .### 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