Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
From inside the book
Results 1-5 of 16
Page 178
... convex surface of the prism ; the lines in which the lateral faces meet , are called lateral edges of the prism . 3. The ALTITUDE of a prism is the perpendicular dis- tance between the planes of its bases . 4. A RIGHT PRISM is one whose ...
... convex surface of the prism ; the lines in which the lateral faces meet , are called lateral edges of the prism . 3. The ALTITUDE of a prism is the perpendicular dis- tance between the planes of its bases . 4. A RIGHT PRISM is one whose ...
Page 179
... 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 their bases ; a triangular pyramid is one whose base is a ...
... 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 their bases ; a triangular pyramid is one whose base is a ...
Page 181
... convex surface of a right prism is equal to the perim eter of either base multiplied by the altitude . Let ABCDE - K be a right prism : then is its convex surface equal to , ( AB + BC + CD + DE + EA ) × AF . For , the convex surface is ...
... convex surface of a right prism is equal to the perim eter of either base multiplied by the altitude . Let ABCDE - K be a right prism : then is its convex surface equal to , ( AB + BC + CD + DE + EA ) × AF . For , the convex surface is ...
Page 184
... convex surface of a right pyramid is equal to the perimeter of its base multiplied by half the slant height . Let S be the vertex , ABCDE the base , and SF , perpendicular to EA , the slant height of a right pyramid : then will the convex ...
... convex surface of a right pyramid is equal to the perimeter of its base multiplied by half the slant height . Let S be the vertex , ABCDE the base , and SF , perpendicular to EA , the slant height of a right pyramid : then will the convex ...
Page 185
... convex sur- face of the pyramid , is equal to , ( AB + BC + CD + DE + EA ) × † SF ; which was to be proved . Scholium . The convex surface of a frustum of a right pyramid is equal to half the sum of the perimeters of its upper and lower ...
... convex sur- face of the pyramid , is equal to , ( AB + BC + CD + DE + EA ) × † SF ; which was to be proved . Scholium . The convex surface of a frustum of a right pyramid is equal to half the sum of the perimeters of its upper and lower ...
Other editions - View all
Common terms and phrases
AB² 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 straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine six right slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence