Elements of Geometry and Trigonometry Translated from the French of A.M. Legendre, by David Brewster: Revised and Adapted to the Course of Mathematical Instruction in the United States |
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Page 2
... LOGARITHMS and LOGARITHMIC SINES . DAVIES ' SURVEYING , With a description and plates of , the THEODOLITE , COMPASS , PLANE - TABLE , and LEVEL - also , Maps of the TOPOGRAPHICAL SIGNS adopted by the Engineer Department - an_explanation ...
... LOGARITHMS and LOGARITHMIC SINES . DAVIES ' SURVEYING , With a description and plates of , the THEODOLITE , COMPASS , PLANE - TABLE , and LEVEL - also , Maps of the TOPOGRAPHICAL SIGNS adopted by the Engineer Department - an_explanation ...
Page 4
... logarithms and logarithmic sines , and to apply the principles of geometry to the mensuration of sur- faces and solids . Military Academy , West Point , March , 1834 . CONTENTS . BOOK I. The principles , BOOK II . iv PREFACE .
... logarithms and logarithmic sines , and to apply the principles of geometry to the mensuration of sur- faces and solids . Military Academy , West Point , March , 1834 . CONTENTS . BOOK I. The principles , BOOK II . iv PREFACE .
Page 6
... Logarithms , · Description of Table of Logarithmic Sines , Principles for the Solution of Rectilineal Triangles , Solution of Rectilineal Triangles by Logarithms , Solution of Right angled Triangles , Solution of Triangles in general ...
... Logarithms , · Description of Table of Logarithmic Sines , Principles for the Solution of Rectilineal Triangles , Solution of Rectilineal Triangles by Logarithms , Solution of Right angled Triangles , Solution of Triangles in general ...
Page 224
... , AC : since MIDI , we have MN = IL , and IN - DL . But we have IK - IN - MP = sin ( a — b ) , and CK + MN = CP = cos ( a — b ) ; hence sin a cos b - sin b cos a sin 224 PLANE TRIGONOMETRY . Description of Table of Logarithms, ·
... , AC : since MIDI , we have MN = IL , and IN - DL . But we have IK - IN - MP = sin ( a — b ) , and CK + MN = CP = cos ( a — b ) ; hence sin a cos b - sin b cos a sin 224 PLANE TRIGONOMETRY . Description of Table of Logarithms, ·
Page 228
... terms homogeneous : that is , so that each shall contain the same number of literal factors . CONSTRUCTION AND DESCRIPTION OF THE TABLES . XXVII . If 228 PLANE TRIGONOMETRY . Description of Table of Logarithmic Sines,
... terms homogeneous : that is , so that each shall contain the same number of literal factors . CONSTRUCTION AND DESCRIPTION OF THE TABLES . XXVII . If 228 PLANE TRIGONOMETRY . Description of Table of Logarithmic Sines,
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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 convex surface Cosine Sine 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 hence homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM 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