Elements of Geometry and Trigonometry |
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Page 5
... Problems relating 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 ,.
... Problems relating 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 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 FGCQ - P . The fixed line AB is called the axis of the cylinder ; the curved surface generated by the side CD , opposite the axis , is called the convex surface of the cylinder ; the equal circles FGCQ , and EHDP , generated by ...
... cylinder FGCQ - P . The fixed line AB is called the axis of the cylinder ; the curved surface generated by the side CD , opposite the axis , is called the convex surface of the cylinder ; the equal circles FGCQ , and EHDP , generated by ...
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
ABCD ACē 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