Elements of Geometry and Trigonometry |
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Page 2
... SOLIDS , and a Table of 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 ...
... SOLIDS , and a Table of 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 ...
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 . The principles , BOOK I. 9 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 . The principles , BOOK I. 9 BOOK II iv PREFACE .
Page 5
... Solid Angles , 126 BOOK VII . Polyedrons , 142 BOOK VIII . The three round bodies , 166 BOOK IX . Of Spherical Triangles and Spherical Polygons , 186 · APPENDIX . The regular Polyedrons , 205 PLANE TRIGONOMETRY . Division of the ...
... Solid Angles , 126 BOOK VII . Polyedrons , 142 BOOK VIII . The three round bodies , 166 BOOK IX . Of Spherical Triangles and Spherical Polygons , 186 · APPENDIX . The regular Polyedrons , 205 PLANE TRIGONOMETRY . Division of the ...
Page 6
... , 257 Solution of Oblique angled Triangles by Logarithms , · 259 MENSURATION . Mensuration of Surfaces , Mensuration of Solids . 274 285 AN INDEX SHOWING THE PROPOSITIONS OF LEGENDRE WHICH CORRESPOND TO vi CONTENTS .
... , 257 Solution of Oblique angled Triangles by Logarithms , · 259 MENSURATION . Mensuration of Surfaces , Mensuration of Solids . 274 285 AN INDEX SHOWING THE PROPOSITIONS OF LEGENDRE WHICH CORRESPOND TO vi CONTENTS .
Page 9
... surfaces , is a curved surface . 8. A solid or body is that which has length , breadth , and thickness ; and therefore combines the three dimensions of extension . 9. When two straight lines , AB , AC , The principles, BOOK.
... surfaces , is a curved surface . 8. A solid or body is that which has length , breadth , and thickness ; and therefore combines the three dimensions of extension . 9. When two straight lines , AB , AC , The principles, BOOK.
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Common terms and phrases
adjacent altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface cosine cotangent cylinder diagonal diameter dicular distance divided draw drawn equal angles 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 measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex