Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
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Page v
... Circle , Exercises , BOOK VI . Planes , and Polyedral Angles , Exercises , Polyedrons ,. Exercises , 61 84 95 97 29 188 140 142 ........ 163 165 187 BOOK VII . 189 221 1 BOOK VIII . PAGE Cylinder , Cone , and Sphere.
... Circle , Exercises , BOOK VI . Planes , and Polyedral Angles , Exercises , Polyedrons ,. Exercises , 61 84 95 97 29 188 140 142 ........ 163 165 187 BOOK VII . 189 221 1 BOOK VIII . PAGE Cylinder , Cone , and Sphere.
Page vi
... Sphere , Exercises , 223 248 BOOK IX . Spherical Geometry ,. Exercises , 250 277 PLANE TRIGONOMETRY . INTRODUCTION . Definition of Logarithms , Rules for Characteristics , General Principles , ..... Table of Logarithms ,. Manner of ...
... Sphere , Exercises , 223 248 BOOK IX . Spherical Geometry ,. Exercises , 250 277 PLANE TRIGONOMETRY . INTRODUCTION . Definition of Logarithms , Rules for Characteristics , General Principles , ..... Table of Logarithms ,. Manner of ...
Page vii
... SPHERICAL TRIGONOMETRY . Spherical Trigonometry Defined , .. 76 General Principles , 76 ....... Formulas for Right - angled Triangles , .... 77-80 Napier's Circular Parts , ....... 80 Solution of Right - angled Spherical Triangles , 84 ...
... SPHERICAL TRIGONOMETRY . Spherical Trigonometry Defined , .. 76 General Principles , 76 ....... Formulas for Right - angled Triangles , .... 77-80 Napier's Circular Parts , ....... 80 Solution of Right - angled Spherical Triangles , 84 ...
Page viii
... Sphere ,. 136 Area of a Zone , 137 Area of a Spherical Polygon , ... 137 Volume of a Prism , 138 Volume of a Pyramid , ........ 189 Volume of the Frustum of a Pyramid , 139 Volume of a Sphere , 141 Volume of a Wedge , 141 Volume of a ...
... Sphere ,. 136 Area of a Zone , 137 Area of a Spherical Polygon , ... 137 Volume of a Prism , 138 Volume of a Pyramid , ........ 189 Volume of the Frustum of a Pyramid , 139 Volume of a Sphere , 141 Volume of a Wedge , 141 Volume of a ...
Page 223
... SPHERE . DEFINITIONS . A E 1. A CYLINDER is a volume which may be generated by a rectangle revolving about one of its sides as an axis . Thus , if the rectangle ABCD be turned about the side AB , as an axis , it will generate the ...
... SPHERE . DEFINITIONS . A E 1. A CYLINDER is a volume which may be generated by a rectangle revolving about one of its sides as an axis . Thus , if the rectangle ABCD be turned about the side AB , as an axis , it will generate the ...
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Common terms and phrases
AB² ABCD AC² adjacent angles altitude angles is equal apothem base and altitude bisects centre chord circle circumference circumscribed cone consequently convex surface corresponding Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant equilateral feet find the area formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides parallel parallelogram parallelopipedon perimeter perpendicular plane angles plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sine slant height solution sphere spherical angle spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence