Elements of Geometry and TrigonometryReprint of the original, first published in 1857. |
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Page vi
... Triangle , - 260 Problems ... 267 Scale of Equal Parts , ... 268 Diagonal Scale of Equal Parts , .. 268 Semicircular Protractor , .... 270 To Lay off an Angle ... Right - Angled Triangles , - 287 Application to Heights and Distances ...
... Triangle , - 260 Problems ... 267 Scale of Equal Parts , ... 268 Diagonal Scale of Equal Parts , .. 268 Semicircular Protractor , .... 270 To Lay off an Angle ... Right - Angled Triangles , - 287 Application to Heights and Distances ...
Page vii
... Triangle , Defined , .. Spherical Trigonometry , Defined ,. First Principles , - - - - Napier's Analogies ,. Napier's Circular Parts ,. Theorems , Solution of Right - Angled Spherical Triangles , by Logarithms ,. Of Quadrantal Triangles ...
... Triangle , Defined , .. Spherical Trigonometry , Defined ,. First Principles , - - - - Napier's Analogies ,. Napier's Circular Parts ,. Theorems , Solution of Right - Angled Spherical Triangles , by Logarithms ,. Of Quadrantal Triangles ...
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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