Elements of Geometry and Trigonometry |
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Page 5
... to the Fourth Book , 129 688 93 BOOK V. Regular Polygons - Measurement of the Circle , 136 BOOK vi . Planes , and Polyedral Angles , 157 Polyedrona ,. BOOK VII . 178 Cylinder , Cone , and Sphere , Spherical Geometry ,.
... to the Fourth Book , 129 688 93 BOOK V. Regular Polygons - Measurement of the Circle , 136 BOOK vi . Planes , and Polyedral Angles , 157 Polyedrona ,. BOOK VII . 178 Cylinder , Cone , and Sphere , Spherical Geometry ,.
Page 6
Adrien Marie Legendre. Cylinder , Cone , and Sphere , Spherical Geometry ,. BOOK VIII . PAGE . 210 BOOK IX . 230 PLANE TRIGONOMETRY . Definition of Logarithms , .. Rules for Characteristics , General Principles , .... Table of Logarithms ...
Adrien Marie Legendre. Cylinder , Cone , and Sphere , Spherical Geometry ,. BOOK VIII . PAGE . 210 BOOK IX . 230 PLANE TRIGONOMETRY . Definition of Logarithms , .. Rules for Characteristics , General Principles , .... Table of Logarithms ...
Page 8
... Cone , Arca of the Surface of a Sphere , Area of a Zone , 121 122 122 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 ...
... Cone , Arca of the Surface of a Sphere , Area of a Zone , 121 122 122 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 ...
Page 209
... polyedral angle . Furthermore , no other regular polygons can be grouped so as to form a salient polyedral angle ; therefore , Only five regular polyedrons can be formed . 14 BOOK VIII . THE CYLINDER , THE CONE , AND BOOK VII . 209.
... polyedral angle . Furthermore , no other regular polygons can be grouped so as to form a salient polyedral angle ; therefore , Only five regular polyedrons can be formed . 14 BOOK VIII . THE CYLINDER , THE CONE , AND BOOK VII . 209.
Page 210
Adrien Marie Legendre. BOOK VIII . THE CYLINDER , THE CONE , AND THE SPHERE . DEFINITIONS . 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 ...
Adrien Marie Legendre. BOOK VIII . THE CYLINDER , THE CONE , AND THE SPHERE . DEFINITIONS . 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 ...
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Common terms and phrases
ABCD ACĀ² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half middle point number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROBLEM PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment side BC similar sine slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence