Elements of Geometry and Trigonometry |
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Page 4
... quantity , has been taken from the Edinburgh Encyclopedia . It is proved in the corollaries that a polygon of an infinite number of sides becomes a circle , and this principle is made the basis of several important de- monstrations in ...
... quantity , has been taken from the Edinburgh Encyclopedia . It is proved in the corollaries that a polygon of an infinite number of sides becomes a circle , and this principle is made the basis of several important de- monstrations in ...
Page 16
... number of straight lines CA , CB , CD , & c . meet in a point C , the sum of all the successive angles ACB , BCD ... sides and the included angle of the one , equal to two sides and the included angle of the other , each to each , the ...
... number of straight lines CA , CB , CD , & c . meet in a point C , the sum of all the successive angles ACB , BCD ... sides and the included angle of the one , equal to two sides and the included angle of the other , each to each , the ...
Page 30
... sides . E Let ABCDEFG be the proposed polygon . If from the vertex of any one angle A , diagonals B AC , AD , AE ... number of sides diminished by two . Cor . 1. The sum of the angles in a quadrilateral is equal to two right angles ...
... sides . E Let ABCDEFG be the proposed polygon . If from the vertex of any one angle A , diagonals B AC , AD , AE ... number of sides diminished by two . Cor . 1. The sum of the angles in a quadrilateral is equal to two right angles ...
Page 53
... sides , have such a connexion , that if the one be augmented or diminished in any ratio , the other will be ... number between 0 and 1 ; an obtuse an- gle by some number between 1 and 2. This mode of express- ing angles would not ...
... sides , have such a connexion , that if the one be augmented or diminished in any ratio , the other will be ... number between 0 and 1 ; an obtuse an- gle by some number between 1 and 2. This mode of express- ing angles would not ...
Page 68
... sides about the equal angles proportional . 2. Any two sides , or any two ... side on which the figure is supposed to stand . 5. The altitude of a triangle is ... number of times which the figure 68 GEOMETRY . BOOK IV The Proportions of ...
... sides about the equal angles proportional . 2. Any two sides , or any two ... side on which the figure is supposed to stand . 5. The altitude of a triangle is ... number of times which the figure 68 GEOMETRY . BOOK IV The Proportions of ...
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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