## Elements of Geometry and Trigonometry |

### From inside the book

Page 186

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**spherical triangle**takes the name of right - angled , isosceles , equilateral , in the same cases as a rectilineal triangle . 3. A spherical ...**spherical triangle**, 186 GEOMETRY . BOOK IX Of**Spherical Triangles**and Spherical Polygons,Page 198

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**spherical triangle**is less than six right angles , and greater than two . For , in the first place , every angle of a**spherical triangle**is less than two right angles : hence the sum of all the three is less than six right angles ...Page 203

... triangle will be equal to two tri - rectangular triangles , or to the fourth part of the whole surface of the sphere . Scholium . While the

... triangle will be equal to two tri - rectangular triangles , or to the fourth part of the whole surface of the sphere . Scholium . While the

**spherical triangle**ABC is compared with the tri - rectangular triangle , the spherical pyramid ...### 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