## Elements of Geometry and Trigonometry |

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Page 264

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**remaining**parts of the quadrantal triangle can A d be found , at least two parts must be given in addition to the side BC = 90 ° ; in which case two parts of the right angled tri- angle BDA , together with the right angle , become known ...Page 265

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**remaining**parts . Ans . B - 148 ° 56 ′ 45 ′′ C = 75 ° 30 ′ 33 ′′ b = 152 ° 13 ′ 50 ′′ . 5. In the right angled spherical triangle BAC , right angled at A , there are given c = 116 ° 30 ′ 43 ′′ , and b = 29 ° 41 ′ 32 ′′ : re- quired the ...Page 272

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**remaining**parts . CASE VI . B = 156 ° 30 ′ 16 ′′ Ans . C = 9 ° 11 ' 48 " a = 61 ° 32 ′ 12 ′′ . In a spherical triangle , having given two angles and the included side to find the**remaining**parts . For this case we employ the second of ...### 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