Elements of Geometry and Trigonometry |
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Page 5
... Regular Polygons and the Measurement of the Circle , 109 BOOK VI . Planes and Solid Angles , 126 BOOK VII . Polyedrons , 142 BOOK VIII . The three round bodies , 166 · BOOK IX . Of Spherical Triangles and Spherical Polygons , The regular ...
... Regular Polygons and the Measurement of the Circle , 109 BOOK VI . Planes and Solid Angles , 126 BOOK VII . Polyedrons , 142 BOOK VIII . The three round bodies , 166 · BOOK IX . Of Spherical Triangles and Spherical Polygons , The regular ...
Page 108
... these two lines are to each other :: √2 : 1 ( Prop . XI . Cor . 4. ) , but which acquires a greater degree of clearness by the geometrical investigation . BOOK V. REGULAR POLYGONS , AND THE MEASUREMENT OF THE 108 GEOMETRY .
... these two lines are to each other :: √2 : 1 ( Prop . XI . Cor . 4. ) , but which acquires a greater degree of clearness by the geometrical investigation . BOOK V. REGULAR POLYGONS , AND THE MEASUREMENT OF THE 108 GEOMETRY .
Page 109
... regular polygon . Regular polygons may have any number of sides : the equi- lateral triangle is one of three sides ; the square is one of four . PROPOSITION I. THEOREM . Two regular polygons of the same number of sides are similar ...
... regular polygon . Regular polygons may have any number of sides : the equi- lateral triangle is one of three sides ; the square is one of four . PROPOSITION I. THEOREM . Two regular polygons of the same number of sides are similar ...
Page 110
Adrien Marie Legendre Charles Davies. PROPOSITION II . THEOREM . Any regular polygon may be inscribed in a circle , and circum- scribed about one . Let ABCDE & c . be a regular poly- gon describe a circle through the three points A , B ...
Adrien Marie Legendre Charles Davies. PROPOSITION II . THEOREM . Any regular polygon may be inscribed in a circle , and circum- scribed about one . Let ABCDE & c . be a regular poly- gon describe a circle through the three points A , B ...
Page 111
... regular polygon . Toget erms of Jaupo vllandum gaiod bas : A slymint oil condo lege od tem rodi lo for PROPOSITION III . PROBLEM . Draw two diameters AC , BD , cut- ting each other at right angles ; join their extremities A , B , C , D ...
... regular polygon . Toget erms of Jaupo vllandum gaiod bas : A slymint oil condo lege od tem rodi lo for PROPOSITION III . PROBLEM . Draw two diameters AC , BD , cut- ting each other at right angles ; join their extremities A , B , C , D ...
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone convex surface Cosine Cotang cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar sine solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex