Elements of Geometry and Trigonometry |
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Page 8
... Pyramid , 120 120 Area of the Frustum of a Cone , Arca of the Surface of a Sphere , Area of a Zone , 121 122 122 Area of a Spherical Polygon , 123 Volume of a Prism , 124 Volume of a Pyramid , 124 ...... Volume of the Frustum of a Pyramid ...
... Pyramid , 120 120 Area of the Frustum of a Cone , Arca of the Surface of a Sphere , Area of a Zone , 121 122 122 Area of a Spherical Polygon , 123 Volume of a Prism , 124 Volume of a Pyramid , 124 ...... Volume of the Frustum of a Pyramid ...
Page 179
... pyramid . The triangles taken together make up the lateral or convex surface of the pyramid ; the lines in which the lateral faces meet , are called the lateral edges of the pyramid . 9. Pyramids are named from the number of sides of ...
... pyramid . The triangles taken together make up the lateral or convex surface of the pyramid ; the lines in which the lateral faces meet , are called the lateral edges of the pyramid . 9. Pyramids are named from the number of sides of ...
Page 180
... pyramid . 12 The SLANT HEIGHT of a right pyramid , is the per- pendicular distance from the vertex to any side of the base . 13. A TRUNCATED PYRAMID is that portion of a pyramid included between the base and any plane which cuts the ...
... pyramid . 12 The SLANT HEIGHT of a right pyramid , is the per- pendicular distance from the vertex to any side of the base . 13. A TRUNCATED PYRAMID is that portion of a pyramid included between the base and any plane which cuts the ...
Page 182
... pyramid be cut by a plane parallel to the bas 1 ° . The edges and the altitude will be divided proportionally : 2o . The section will be a polygon similar to the base . Let the pyramid S - ABCDE , whose altitude is SO . parallel to the ...
... pyramid be cut by a plane parallel to the bas 1 ° . The edges and the altitude will be divided proportionally : 2o . The section will be a polygon similar to the base . Let the pyramid S - ABCDE , whose altitude is SO . parallel to the ...
Page 183
... pyramids S - ABCD and S - XYZ , hav- ing a common vertex S and their bases in the same plane , are cut by a plane aoz parallel to the plane of their bases , the sections will be to each other as the bases . a K N L M D B H S Q Ꭱ Z For ...
... pyramids S - ABCD and S - XYZ , hav- ing a common vertex S and their bases in the same plane , are cut by a plane aoz parallel to the plane of their bases , the sections will be to each other as the bases . a K N L M D B H S Q Ꭱ Z For ...
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Common terms and phrases
ABCD AC² 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