Elements of Geometry and Trigonometry |
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Page 16
... DIAGONAL of a polygon is a straight line joining the vertices of two angles , not consecutive . 24. A BASE of a polygon is any one of its sides on which the polygon is supposed to stand . 25. Triangles may be classified with reference ...
... DIAGONAL of a polygon is a straight line joining the vertices of two angles , not consecutive . 24. A BASE of a polygon is any one of its sides on which the polygon is supposed to stand . 25. Triangles may be classified with reference ...
Page 45
... diagonals AC , AD . The polygon will be divided into as many triangles , less two , as it has sides , having the point A for a common vertex , and for bases , the sides of the polygon , except the two which form the angle A. It is ...
... diagonals AC , AD . The polygon will be divided into as many triangles , less two , as it has sides , having the point A for a common vertex , and for bases , the sides of the polygon , except the two which form the angle A. It is ...
Page 47
... diagonal BD . Then , because AB and DC are parallel , the angle DBA is equal to its alternate A angle BDC ( P. XX . , C. 2 ) : and , because AD and BC are parallel , the angle BDA is equal to its alternate angle DBC . The triangles ABD ...
... diagonal BD . Then , because AB and DC are parallel , the angle DBA is equal to its alternate A angle BDC ( P. XX . , C. 2 ) : and , because AD and BC are parallel , the angle BDA is equal to its alternate angle DBC . The triangles ABD ...
Page 48
... diagonal DB . triangles ADB and CBD , will have D " the sides of the one equal to the sides of the other , each to each ; and therefore , the triangles will be equal in all of their parts : hence , the angle ABD is equal to the angle ...
... diagonal DB . triangles ADB and CBD , will have D " the sides of the one equal to the sides of the other , each to each ; and therefore , the triangles will be equal in all of their parts : hence , the angle ABD is equal to the angle ...
Page 49
... diagonals of a parallelogram divide each other into equal parts , or mutually bisect each other . A C E Let ABCD be a parallelogram , and B AC , BD , its diagonals : then will AE be equal to EC , and BE to ED . For , the triangles BEC ...
... diagonals of a parallelogram divide each other into equal parts , or mutually bisect each other . A C E Let ABCD be a parallelogram , and B AC , BD , its diagonals : then will AE be equal to EC , and BE to ED . For , the triangles BEC ...
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Common terms and phrases
ABCD ACĀ² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half middle point number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROBLEM PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment side BC similar sine slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence