Plane and Solid GeometryGinn, 1903 - 473 sider |
Inni boken
Resultat 1-5 av 24
Side 308
... frustum is the length of the per- pendicular between the planes of its bases . 641. DEF . The lateral faces of a frustum of a regular pyra- mid are equal isosceles trapezoids ; and the sum of their areas is called the lateral area of ...
... frustum is the length of the per- pendicular between the planes of its bases . 641. DEF . The lateral faces of a frustum of a regular pyra- mid are equal isosceles trapezoids ; and the sum of their areas is called the lateral area of ...
Side 309
... frustum of a regular pyramid is equal to half the sum of the perimeters of the bases multiplied by the slant height of the frustum . § 407 Ex . 657. Find the lateral area of a regular pyramid if the slant height is 16 feet , and the ...
... frustum of a regular pyramid is equal to half the sum of the perimeters of the bases multiplied by the slant height of the frustum . § 407 Ex . 657. Find the lateral area of a regular pyramid if the slant height is 16 feet , and the ...
Side 317
... total surface is T. Find the length of one edge . Ex . 675. Find the base edge a of a regular pyramid with a square base , having given the height H and the total surface T. PROPOSITION XX . THEOREM . 655. The frustum of a PYRAMIDS . 317.
... total surface is T. Find the length of one edge . Ex . 675. Find the base edge a of a regular pyramid with a square base , having given the height H and the total surface T. PROPOSITION XX . THEOREM . 655. The frustum of a PYRAMIDS . 317.
Side 318
... frustum . D B Let B and b denote the lower and upper bases of the frustum ABC - DEF , and H its altitude . Through the vertices A , E , C and E , D , C pass planes divid- ing the frustum into three pyramids . Now the pyramid E - ABC has ...
... frustum . D B Let B and b denote the lower and upper bases of the frustum ABC - DEF , and H its altitude . Through the vertices A , E , C and E , D , C pass planes divid- ing the frustum into three pyramids . Now the pyramid E - ABC has ...
Side 319
... frustum of a triangular pyra- mid is denoted by V , the lower base by B , the upper base by b , and the altitude by H , V = } H × B + } H × b + ‡ H × √B × b = } H × ( B + b + √B × b ) . = PROPOSITION XXI . THEOREM . 657. The volume of ...
... frustum of a triangular pyra- mid is denoted by V , the lower base by B , the upper base by b , and the altitude by H , V = } H × B + } H × b + ‡ H × √B × b = } H × ( B + b + √B × b ) . = PROPOSITION XXI . THEOREM . 657. The volume of ...
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Vanlige uttrykk og setninger
AB² ABCDE AC² altitude apothem axis bisector bisects called centre chord circumference circumscribed coincide common construct curve denote diagonals diameter dihedral angles distance divided draw ellipse equidistant equilateral triangle equivalent face angles feet Find the area Find the locus frustum given circle given line given point given straight line given triangle greater Hence homologous homologous sides hypotenuse inches intersection lateral area lateral edges length limit middle point number of sides parallel planes parallelogram parallelopiped perimeter perpendicular plane MN polyhedral angle polyhedron prism prismatoid Proof prove Q. E. D. PROPOSITION radii radius ratio rectangle regular polygon regular pyramid respectively right angle right circular right triangle secant segments similar slant height sphere spherical polygon spherical triangle square surface tangent tetrahedron THEOREM trapezoid triangle ABC triangular prism trihedral vertex vertices