Solid GeometryAmerican Book Company, 1912 - 188 sider |
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12 inches altitude by H angles are equal ARGUMENT REASONS axis circle circular sector circumference circumscribed common limit cube diagonals dihedral angles equivalent face angles Find the area Find the locus Find the radius Find the total Find the volume frustum given plane given point HINT inscribed isosceles lateral area lateral edges lateral faces lune number of sides OUTLINE OF PROOF parallel planes parallelogram perimeter perpendicular Plane Geometry plane MN plane parallel polyhedral angle polyhedron EC prismatoid proof is left PROPOSITION prove radii ratio rectangle rectangular parallelopiped regular polygon regular pyramid repeatedly doubling revolving right circular cone right circular cylinder slant height spherical angle spherical degrees spherical polygon spherical sector spherical triangle square inches square pyramid straight line student surface tangent tetrahedron THEOREM total area triangular prism triangular pyramid trihedral vertex vertices volume denoted zone
Populære avsnitt
Side 455 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Side 397 - The lateral area of a cylinder is equal to the product of the perimeter of a right section of the cylinder by an element. Hyp. S is the lateral area, P the perimeter of a right .section, and E an element of the cylinder AK; S...
Side 449 - The area of a zone is equal to the product of its altitude by the circumference of a great circle.
Side 355 - The lateral area of a prism is equal to the product of the perimeter of a right section of the prism by a lateral edge. Let AD...
Side 353 - If two pyramids have equal altitudes and equivalent bases, sections made by planes parallel to the bases, and at equal distances from the vertices, are equivalent.
Side 387 - Every section of a cylinder made by a plane passing through an element is a parallelogram.
Side 321 - The acute angle that a straight line makes with its own projection upon a plane is the least angle that it makes with any line passing through its foot in the plane.
Side 296 - Two triangles which have an angle of one equal to the supplement of an angle of the other are to each other as the products of the sides including the supplementary angles.
Side 364 - Two rectangular parallelopipeds have equal altitudes and bases whose dimensions are 4 and 7, and 5 and 9 respectively. Find the ratio of their volumes.
Side 369 - The plane passed through two diagonally opposite edges of a parallelopiped divides it into two equivalent triangular prisms.