 SOLID GEOMETRY. 1. DEFINE a straight line perpendicular to a plane, and prove that, when a straight line is perpendicular to two straight lines drawn through its foot in a plane, it is perpendicular to the plane. 2. Prove that, if two solids have equal...  The Harvard University Catalogue - Página 175de Harvard University - 1876Vista completa - Acerca de este libro
 | Benjamin Peirce - 1837 - 216 páginas
...Definition. A lamina is a thin portion of a solid included between two parallel planes. 342. Theorem. If two solids have equal bases and heights, and if...plane of their bases, are equal, they are equivalent. Demonstration. Let ABCDEF, A'B'CD'E'F (fig. 162) be the two solids. Let MNO, M'N'O' be two equal seo.... | |
 | Benjamin Peirce - 1841 - 186 páginas
...A lamina or slice is a thin portion of a solid included between two parallel planes. 342. Theorem. If two solids have equal bases and heights, and if...to the common plane of their bases, are equal, they wre equivalent. Proof. Let ABCDEF, A'B'C'D'E'F (fig. 162) be the two solids. Let JfJVO, JM'JVO' be... | |
 | Benjamin Peirce - 1847 - 204 páginas
...A lamina or slice is a thin portion of a solid included between two parallel planes. 342. Theorem. If two solids have equal bases and heights, and if...plane of their bases, are equal, they are equivalent. Proof. Let ABCDEF, A'B'C'D'E'F (fig. 162) be the two solids. Let MNO, M' JVO be two equal sections... | |
 | Benjamin Peirce - 1865 - 184 páginas
...portion of a solid included between two parallel planes. 342. Theorem. If two solids have equal hases and heights, and if their sections, made by any plane...plane of their bases, are equal, they are equivalent. Proof. Let ABCDEF, AB'C'D'E'F (fig. 162) be the two solids. Let MNO, Jlf'JV'O' be two equal sections... | |
 | Ellwood Morris - 1872 - 206 páginas
...those which have the same bulk or magnitude." " Theorem1 If two solids have equal bases and hights, and if their sections made by any plane parallel to...plane of their bases are equal, they are equivalent." Now, the transformation of triangular prismoids of earthwork, by means of Equivalent Level Hights,... | |
 | Ellwood Morris - 1872 - 206 páginas
...those which have the same bulk or magnitude." " Theorem: If two solids have equal bases and hights, and if their sections made by any plane parallel to...plane of their bases are equal, they are equivalent." Now, the transformation of triangular prismoids of earthwork, by means of Equivalent Level Hights,... | |
 | Robert Fowler Leighton - 1877 - 372 páginas
...book any pentagon. Find a triangle equivalent to it. Explain and prove the method of your solution. SOLID GEOMETRY. 1. DEFINE a straight line perpendicular...surface 15 sq. in., and solid contents 4 cu. in. What is the altitude and surface of a similar solid whose solidity is 256 cu. in. ? 5. Prove that the sum... | |
 | Robert Fowler Leighton - 1880 - 428 páginas
...book any pentagon. Find a triangle equivalent to it. Explain and prove the method of your solution. SOLID GEOMETRY. 1. DEFINE a straight line perpendicular...pyramid of any number of sides measured ? Prove. 4. Tl\e altitude of a certain solid is 2 in., its surface 15 sq. in., and solid contents 4 cu. in. What... | |
 | 1888 - 432 páginas
...any pentagon. Find a triangle equivalent to it. Explain and prove the method of your solution. SOLED GEOMETRY. 1. DEFINE a straight line perpendicular...surface 15 sq. in., and solid contents 4 cu. in. What is the altitude and surface of a similar solid whose solidity is 256 cu. in. ? 5. Prove that the sum... | |
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