| George Washington Hull - 1807 - 408 σελίδες
...equilateral and equiangular. Therefore ^4D and FK are equal polygons. §215. QED 442. COR. — Any section of a prism made by a plane parallel to the base is equal to the base. PROPOSITION II. THEOREM. 443. The lateral area of a prism is equal to the product of the perimeter... | |
| Euclides - 1842 - 316 σελίδες
...SECTION of a pyramid made by a plane parallel t° the base is a figure similar to the base : and a section of a prism made by a plane parallel to the base is a figure similar and equal to the base. Let the pyramid K-ABCD be cut by a plane parallel to the baseABCD:... | |
| Horatio Nelson Robinson - 1860 - 470 σελίδες
...polygons are both mutually equilateral and mutually equiangular, and consequently are equal. Cor. A section of a prism made by a plane parallel to the base of the prism, is a polygon equal to the base. THEOREM V. Two parallelopipedons, the one rectangular... | |
| Eli Todd Tappan - 1868 - 444 σελίδες
...perpendicular to the bases. A REGULAR PRISM is a right prism whose base is a regular polygon. 673. Corollary — The altitude of a right prism is equal...solid between^ the two secant planes is also a prism. 228 HOW DIVI8IBLE. 673. Problem. — Every prism can be divided into (tie tame number of triangular... | |
| Eli Todd Tappan - 1868 - 432 σελίδες
...sides of a right prism are rectangles. The sides of a regular prism are equal. 673. Theorem — If tivo parallel planes pass through a prism, so that each...solid between the two secant planes is also a prism. 228 HOW DIVISIBLE. 675. Problem — Every prism can be divided into the same number of triangular prisms... | |
| William Chauvenet - 1871 - 380 σελίδες
...two sections, being both mutually equilateral and mutually equiangular, are equal. 15. Corollary. Any section of a prism, made by a plane parallel to the base, is equal to the base. PROPOSITION II.— THEOREM. 16. The lateral area of a prism is equal to the product of the perimeter... | |
| Eli Todd Tappan - 1873 - 288 σελίδες
...plane parallel to their bases, the areas of the sections are proportional to the areas of the PKISMS. 669. A PRISM is a polyedron which has two of its faces...solid between the two secant planes is also a prism. 228 HOW DIVISIBLE. 673. Problem — Every prism can be divided into the tame number of triangular prisms... | |
| William Chauvenet - 1872 - 382 σελίδες
...two sections, being both mutually equilateral and mutually equiangular, are equal. 15. Corollary. Any section of a prism, made by a plane parallel to the base, is equal to the base. PROPOSITION II.—THEOREM. 16. The lateral area of a prism is equal to the product of the perimeter... | |
| William Frothingham Bradbury - 1872 - 124 σελίδες
...the polygons, being mutually equiangular and equilateral, are equal (II. G). 171 Cor. 1. A section made by a plane parallel to the base is equal to the base. • 181 Cor. 2. A section of a cylinder made by a plane parallel to the base is a circle equal to the... | |
| William Frothingham Bradbury - 1873 - 288 σελίδες
...the polygons, being mutually equiangular and equilateral, are equal (II. 6). 17« Cor. 1. A section made by a plane parallel to the base is equal to the base. 18, Cor. 2. A section of a cylinder made by a plane parallel to the base is a circle equal to the base.... | |
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