## Elements of Geometry and Trigonometry |

### From inside the book

Page 127

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**plane**, and partly out of it . For , by the definition of a**plane**, when a straight line has two points common with a**plane**, it lies wholly in that**plane**. Scholium . To discover whether a surface is**plane**, it is necessary to apply a ...Page 132

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**plane**MN ; therefore through the same point D more than one perpendicular might be erected to the same**plane**, which is impossible ( Prop . ĪV . Cor . 2. ) . M A P E Let AB be parallel to CD of the**plane**NM ; then will it be parallel to ...Page 137

Adrien Marie Legendre Charles Davies. Let AP be perpendicular to the

Adrien Marie Legendre Charles Davies. Let AP be perpendicular to the

**plane**NM ; then will every**plane**passing through AP be perpendicular to NM . M Let BC be the intersection of the**planes**AB , MN ; in the**plane**MN , draw DE ...### 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