Elements of Geometry and Trigonometry |
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Page 205
... faces are all equal regular polygons , and whose solid angles are all equal to each other . There are five such polyedrons . First . If the faces are equilateral triangles , polyedrons may be formed of them , having solid angles ...
... faces are all equal regular polygons , and whose solid angles are all equal to each other . There are five such polyedrons . First . If the faces are equilateral triangles , polyedrons may be formed of them , having solid angles ...
Page 296
... faces , and FEB will be half that angle , which we will represent by A. Then , if we represent by n the num- ber of faces which meet at the vertex of the solid angle , and by m the number of F D sides of each face , we shall have , from ...
... faces , and FEB will be half that angle , which we will represent by A. Then , if we represent by n the num- ber of faces which meet at the vertex of the solid angle , and by m the number of F D sides of each face , we shall have , from ...
Page 296
... faces , and FEB will be half that angle , which we will represent by { A. Then , if we represent by n the number of faces which meet at the vertex of F B the solid angle , and by m the number of sides of each face , we shall have , from ...
... faces , and FEB will be half that angle , which we will represent by { A. Then , if we represent by n the number of faces which meet at the vertex of F B the solid angle , and by m the number of sides of each face , we shall have , from ...
Contents
BOOK | 7 |
Problems relating to the First and Third Books 57 | 57 |
BOOK IV | 68 |
14 other sections not shown
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone consequently convex surface cosine Cotang cylinder diagonal diameter dicular distance divided draw drawn equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line TABLE OF LOGARITHMIC tang tangent THEOREM triangle ABC triangular prism vertex