Elements of Geometry and TrigonometryReprint of the original, first published in 1857. |
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Page vii
... SPHERICAL TRIGONOMETRY . Spherical Triangle , Defined , .. Spherical Trigonometry , Defined ,. First Principles ... Polygon , .. PAGE . 297 297 298 298 299 301 301 306 307 313 315 317 Area of a Long and Irregular Figure bounded on One Side by ...
... SPHERICAL TRIGONOMETRY . Spherical Triangle , Defined , .. Spherical Trigonometry , Defined ,. First Principles ... Polygon , .. PAGE . 297 297 298 298 299 301 301 306 307 313 315 317 Area of a Long and Irregular Figure bounded on One Side by ...
Page 8
... Sphere , .. 366 Solidity of a Spherical Segment , .. 366 Surface of a Spherical Triangle ,. 366 Surface of a Spherical Polygon , - 367 Of the Regular Polyedrons , ... 367 Theorem ,. 367 Method of Finding the Angle included between ...
... Sphere , .. 366 Solidity of a Spherical Segment , .. 366 Surface of a Spherical Triangle ,. 366 Surface of a Spherical Polygon , - 367 Of the Regular Polyedrons , ... 367 Theorem ,. 367 Method of Finding the Angle included between ...
Page 221
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Page 222
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Page 227
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Contents
INTRODUCTION | 9 |
Propositions 81 | 18 |
BOOK II | 47 |
BOOK III | 57 |
Problems relating to the First and Third Books | 76 |
BOOK IV | 87 |
Problems relating to the Fourth Book | 122 |
BOOK VI | 156 |
PLANE TRIGONOMETRY | 255 |
Multiplication by Logarithms | 261 |
Problems | 267 |
Definitions of Trigonometrical Lines | 273 |
Solution of Triangles 201 | 287 |
SPHERICAL TRIGONOMETRY | 321 |
Napiers Analogies | 329 |
Of Quadrantal Triangles | 335 |
BOOK VII | 174 |
BOOK VIII | 202 |
BOOK IX | 227 |
APPENDIX | 245 |
MENSURATION OF SURFACES | 347 |
Area of a Regular Polygon | 353 |
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Common terms and phrases
adjacent altitude angle ACB angle BAD bisect centre chord circ circumference circumscribed common comp cone consequently convex surface cosine Cotang cylinder diagonal diameter distance divided draw drawn edges equal altitudes equations equivalent feet figure find the area frustum given angle given line given point gles greater hence homologous homologous sides hypothenuse included angle inscribed circle intersect less Let ABC let fall logarithm magnitudes measured by half middle point number of sides oblique lines opposite parallel parallelogram parallelopipedon pendicular perimeter perpendicular plane MN polyedral angle polyedron PROBLEM PROPOSITION pyramid quadrant radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar similar triangles sine slant height solidity sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM three angles triangle ABC triangular prism triedral angles vertex vertices