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
... each other :: √2 : 1 ( Prop . XI . Cor . 4. ) , but which acquires a greater degree of clearness by the geometrical investigation . tal doiler 07 metais Alcmer BOOK V. REGULAR POLYGONS , AND THE MEASUREMENT OF THE 108 GEOMETRY .
... each other :: √2 : 1 ( Prop . XI . Cor . 4. ) , but which acquires a greater degree of clearness by the geometrical investigation . tal doiler 07 metais Alcmer 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 , rogol sin jobs Joups vienu god bas : tops ad eum modt to lose Taupe si doga PROPOSITION III . I. PROBLEM . > lentelipps abiber at of alias To inscribe a square in a given circle.co doidw Foodorotams Draw two diameters ...
... regular polygon , rogol sin jobs Joups vienu god bas : tops ad eum modt to lose Taupe si doga PROPOSITION III . I. PROBLEM . > lentelipps abiber at of alias To inscribe a square in a given circle.co doidw Foodorotams Draw two diameters ...
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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 consequently convex surface cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equation equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides 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 solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex