## Elements of Geometry and Trigonometry |

### From inside the book

Page 42

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**tangent**. The point M , where the**tangent**touches the circumference , is called the point of contact . M In like manner , two circumferences touch each other when they have but one point in common . 9. A polygon is circumscribed about a ...Page 48

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**tangent**would be shorter than CA ; hence this supposed**tangent**would enter the circle , and be a secant . PROPOSITION X. THEOREM . Two parallels intercept equal arcs on the circumference . There may be three cases . H D / N G F PB A / M ...Page 219

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**tangent**becomes infinite : that is , tang 270 ° = ∞ . When the point has passed along into the fourth quadrant to N , the**tangent**of the arc ADN'N will be the line AV : hence , the**tangents**of all arcs which terminate in the fourth ...### 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