 | Benjamin Peirce - 1837 - 216 Seiten
...solid included between two parallel planes. 342. Theorem. If two solids have equal bases and heights, and if their sections, made by any plane parallel...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 Seiten
...solid included between two parallel planes. 342. Theorem. If two solids have equal bases and heights, and if their sections, made by any plane parallel...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 Seiten
...solid included between two parallel planes. 342. Theorem. If two solids have equal bases and heights, and if their sections, made by any plane parallel...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... | |
 | Ellwood Morris - 1872 - 206 Seiten
...Earthwork Computation (1861) deals with ground however sloping, or even warped, within certain limits. The method of using Equivalent Level Hights (when...regarded as equivalent to the original defined by Hutton1—in the above theorem, equality of sections evidently means equality in area, and not geometrical... | |
 | Harvard University - 1876 - 554 Seiten
...plane, it is perpendicular to the plane. 2. Prove that, if two solids have equal bases and heights, and if their sections, made by any plane parallel...plane of their bases, are equal, they are equivalent. 3. How is the area of the convex surface of a regular pyramid of any number of sides measured ? Prove.... | |
 | Robert Fowler Leighton - 1877 - 372 Seiten
...plane, it is perpendicular to the plane. 2. Prove that, if two solids have equal bases and heights, and if their sections, made by any plane parallel...plane of their bases, are equal, they are equivalent. 3. How is the area of the convex surface of a regular pyramid of any number of sides measured ? Prove.... | |
 | Harvard University - 1876 - 324 Seiten
...plane, it is perpendicular to the plane. '2. Prove that, if two solids have equal bases and heights, and if their sections, made by any plane parallel...plane of their bases, are equal, they are equivalent. 3. How is the area of the convex surface of a regular pyramid of any number of sides measured ? Prove.... | |
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... the method of your solution. 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... 