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 ii
... Spherical Trigonome- try , Spherical Projections , and Warped Surfaces . Babies ' Shades , Shadows , AND Perspective . Babies ' Logic and Utility of Mathematics - With the best methods of In- struction Explained and Illustrated . Dabies ...
... Spherical Trigonome- try , Spherical Projections , and Warped Surfaces . Babies ' Shades , Shadows , AND Perspective . Babies ' Logic and Utility of Mathematics - With the best methods of In- struction Explained and Illustrated . Dabies ...
Page v
... Problems relating to the Fourth Book , BOOK V. Regular Polygons - Measurement of the Circle , 82 6899 59 93 129 136 BOOK VI . Planes , and Polyedral Angles , . 157 BOOK VII . Polyedrons , ... 178 Cylinder , Cone , and Sphere , BOOK VIII .
... Problems relating to the Fourth Book , BOOK V. Regular Polygons - Measurement of the Circle , 82 6899 59 93 129 136 BOOK VI . Planes , and Polyedral Angles , . 157 BOOK VII . Polyedrons , ... 178 Cylinder , Cone , and Sphere , BOOK VIII .
Page vi
... Sphere , BOOK VIII . Spherical Geometry , BOOK IX . ....... PLANE TRIGONOMETRY . INTRODUCTION . Definition of Logarithms ,. Rules for Characteristics , General Principles , Table of Logarithms , Manner of Using the Table ...
... Sphere , BOOK VIII . Spherical Geometry , BOOK IX . ....... PLANE TRIGONOMETRY . INTRODUCTION . Definition of Logarithms ,. Rules for Characteristics , General Principles , Table of Logarithms , Manner of Using the Table ...
Page vii
... SPHERICAL TRIGONOMETRY . Spherical Trigonometry Defined , 73 ... General Principles , ..... 73 Formulas for Right - angled Triangles , 74-76 Napier's Circular Parts , 77 Solution of Right - angled Spherical Triangles , 80-83 Quadrantal ...
... SPHERICAL TRIGONOMETRY . Spherical Trigonometry Defined , 73 ... General Principles , ..... 73 Formulas for Right - angled Triangles , 74-76 Napier's Circular Parts , 77 Solution of Right - angled Spherical Triangles , 80-83 Quadrantal ...
Page viii
... Sphere , 121 122 Area of a Zone , 122 Area of a Spherical Polygon , 123 Volume of a Prism , 124 Volume of a Pyramid , 124 Volume of the Frustum of a Pyramid , 125 Volume of a Sphere , 126 Volume of a Wedge , 127 Volume of a Prismoid ...
... Sphere , 121 122 Area of a Zone , 122 Area of a Spherical Polygon , 123 Volume of a Prism , 124 Volume of a Pyramid , 124 Volume of the Frustum of a Pyramid , 125 Volume of a Sphere , 126 Volume of a Wedge , 127 Volume of a Prismoid ...
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Common terms and phrases
AB² AC² altitude angle ACB apothem axis base and altitude base multiplied BC² bisect centre chord circumference coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diameter distance divided draw drawn edges equal bases equal in volume equal to AC equal to half equally distant Formula frustum given angle given line greater hence homologous hypothenuse included angle intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides opposite parallelogram perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION XI proved pyramid quadrant radii radius rectangle regular polygons right-angled triangle Scholium segment semi-circumference side BC similar sine slant height sphere spherical angle spherical excess spherical polygon spherical triangle straight line tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence