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
... Fourth Book , BOOK V. Regular Polygons - Measurement of the Circle , PAGE . 9 13 20 50 50 82 8889 59 93 129 136 BOOK VI . Planes , and Polyedral Angles , 157 BOOK VII . Polyedrons ,. 178 Cylinder , Couc , and Sphere , BOOK VIII .
... Fourth Book , BOOK V. Regular Polygons - Measurement of the Circle , PAGE . 9 13 20 50 50 82 8889 59 93 129 136 BOOK VI . Planes , and Polyedral Angles , 157 BOOK VII . Polyedrons ,. 178 Cylinder , Couc , and Sphere , BOOK VIII .
Page vi
Adapted to the Course of Mathematical Instruction in the United States Charles Davies. Cylinder , Couc , and Sphere , BOOK VIII . Spherica ! Geometry ,. BOOK IX . PAGE . ...... 210 PLANE TRIGONOMETRY . INTRODUCTION . Definition of ...
Adapted to the Course of Mathematical Instruction in the United States Charles Davies. Cylinder , Couc , and Sphere , BOOK VIII . Spherica ! Geometry ,. BOOK IX . PAGE . ...... 210 PLANE TRIGONOMETRY . INTRODUCTION . Definition 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
... 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 . E P Thus , if the rectangle ABCD be turned about the side AB , as an axis ...
... 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 . E P Thus , if the rectangle ABCD be turned about the side AB , as an axis ...
Page 211
... cylinder , when its bases are in- scribed in the bases of the cylinder . In this case , the cylinder is said to be circumscribed about the prism . The lateral edges of the inscribed prism are elements of the surface of the circumscribing ...
... cylinder , when its bases are in- scribed in the bases of the cylinder . In this case , the cylinder is said to be circumscribed about the prism . The lateral edges of the inscribed prism are elements of the surface of the circumscribing ...
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Common terms and phrases
AB² AC² 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 straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine six right slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence