Elements of Geometry and Trigonometry |
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Page 3
... figures . The method of enunciating them by the aid of particu lar diagrams seems to have been adopted to avoid the difficulty which beginners experience in comprehend- ing abstract propositions . But in avoiding this diffi- culty , and ...
... figures . The method of enunciating them by the aid of particu lar diagrams seems to have been adopted to avoid the difficulty which beginners experience in comprehend- ing abstract propositions . But in avoiding this diffi- culty , and ...
Page 5
... Figures and the Measurement of Areas , - Problems relating to the Fourth Book , 68 888 98 BOOK V. Regular Polygons and the Measurement of the Circle , 109 BOOK VI . Planes and Solid Angles , 126 BOOK VII . Polyedrons , 142 BOOK VIII ...
... Figures and the Measurement of Areas , - Problems relating to the Fourth Book , 68 888 98 BOOK V. Regular Polygons and the Measurement of the Circle , 109 BOOK VI . Planes and Solid Angles , 126 BOOK VII . Polyedrons , 142 BOOK VIII ...
Page 10
... figure is a plane terminated on all sides by lines , either straight or curved . B C A D A -F If the lines are straight , the space they enclose is called a rectilineal figure , or polygon , and the lines themselves , taken together ...
... figure is a plane terminated on all sides by lines , either straight or curved . B C A D A -F If the lines are straight , the space they enclose is called a rectilineal figure , or polygon , and the lines themselves , taken together ...
Page 30
... figure has sides . G Let ABCDEFG be the proposed polygon . If from the vertex of any one angle A , diagonals B. AC , AD , AE , AF , be drawn to the vertices of all the opposite angles , it is plain that the poly- gon will be divided ...
... figure has sides . G Let ABCDEFG be the proposed polygon . If from the vertex of any one angle A , diagonals B. AC , AD , AE , AF , be drawn to the vertices of all the opposite angles , it is plain that the poly- gon will be divided ...
Page 31
... sides ( Prop . XXVI . ) ; that is , equal to twice as many right angles as the figure has sides , wanting four right angles . Hence , the interior angles plus four right angles , is equal to twice as many right angles BOOK I. 31.
... sides ( Prop . XXVI . ) ; that is , equal to twice as many right angles as the figure has sides , wanting four right angles . Hence , the interior angles plus four right angles , is equal to twice as many right angles BOOK I. 31.
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Common terms and phrases
adjacent altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface cosine cotangent cylinder diagonal diameter dicular distance divided draw drawn equal angles 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 logarithm measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex