Elements of Geometry and Trigonometry |
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Page 87
... remaining two IAH , IDH , will be together equal to two right B H E T Ꮐ angles . But the two angles EDF , IDH , are also equal to two right angles : hence the angle EDF is equal to IAĤ or BAC . In like manner , if the third side EF is ...
... remaining two IAH , IDH , will be together equal to two right B H E T Ꮐ angles . But the two angles EDF , IDH , are also equal to two right angles : hence the angle EDF is equal to IAĤ or BAC . In like manner , if the third side EF is ...
Page 92
... remaining triangles are similar , whatever be the number of sides in the polygons pro- posed : therefore two similar polygons are composed of the same number of triangles , similar , and similarly situated . Scholium . The converse of ...
... remaining triangles are similar , whatever be the number of sides in the polygons pro- posed : therefore two similar polygons are composed of the same number of triangles , similar , and similarly situated . Scholium . The converse of ...
Page 143
... remaining solid ABCDE - d , is called a truncated pyramid , or the frustum of a pyramid . E S C F B 12. The altitude of a pyramid is the perpendicular let fall from the vertex upon the plane of the base , produced if necessary . 13. A ...
... remaining solid ABCDE - d , is called a truncated pyramid , or the frustum of a pyramid . E S C F B 12. The altitude of a pyramid is the perpendicular let fall from the vertex upon the plane of the base , produced if necessary . 13. A ...
Page 150
... remaining parts , namely , the solids BaADd , FeEHh , are equivalent . Now , by reason of the parallelograms ABFE , aBFe , the sides AE , ae , being equal to their parallel BF , are equal to each other ; and taking away the common part ...
... remaining parts , namely , the solids BaADd , FeEHh , are equivalent . Now , by reason of the parallelograms ABFE , aBFe , the sides AE , ae , being equal to their parallel BF , are equal to each other ; and taking away the common part ...
Page 166
... off by a plane parallel to the base , the remaining solid CBHF is called a truncated cone , or the frustum of a cone . We may conceive it to be generated by the revolution .166 GEOMETRY . BOOK VIII The three round bodies,
... off by a plane parallel to the base , the remaining solid CBHF is called a truncated cone , or the frustum of a cone . We may conceive it to be generated by the revolution .166 GEOMETRY . BOOK VIII The three round bodies,
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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