Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
From inside the book
Results 1-5 of 18
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
... Cylinder , Cone , and 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 ...
... Cylinder , Cone , and 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 ...
Page 209
... polyedral angle . 80 Furthermore , no other regular polygons can be grouped 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 . 80 Furthermore , no other regular polygons can be grouped 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 A H Thus , if the rectangle ABCD be turned about the side AB , as an ...
... 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 A H Thus , if the rectangle ABCD be turned about the side AB , as an ...
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 ...
Other editions - View all
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