 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. THEOREM III. 19. Prisms having equivalent bases and equal altitudes are...  An Elementary Geometry - Page 58by William Frothingham Bradbury - 1872 - 110 pagesFull view - About this book
 | Euclides, James Thomson - Geometry - 1845 - 382 pages
...the fixed line, wifl describe a circle parallel to the base; and hence every section of a cylinder by a plane parallel to the base, is a circle equal to the base. PROP. III. THEOR.—The section of a pyramid by a plane parallel to its base, is a figure similar to... | |
 | Charles Davies - Geometry - 1850 - 218 pages
...the polygon IL is equal to AC. B Sch. It was shown in Definition 18, that the section of a cylinder, by a plane parallel to the base, is a circle equal to the base. THEOREM IV. If a pyramid be cut by a plane parallel to tlw base, I. The edges and altitude will be divided... | |
 | Charles Davies - Geometry - 1850 - 238 pages
...the polygon IL is equal to AC. Sch. It was shown in Definition 18, that the section of a cylinder, by a plane parallel to the base, is a circle equal to the base. THEOREM IV. If a pyramid be cut by a plane parallel to the base, I. The edges and altitude will be divided... | |
 | Charles Davies - Geometry - 1855 - 340 pages
...the polygon IL is equal to AC. B Sch. It was shown in Definition 18, that the section of a cylinder, by a plane parallel to the base, is a circle equal to the base. THEOREM IV. If a pyramid lie cut by a plane parallel to the base, I. The edges and altitude will be divided... | |
 | Charles Davies - Geometry - 1864 - 358 pages
...the polygon IL is equal to AC. Sch. It was shown in Definition 18, that the section o( a cylinder, by a plane parallel to the base, is a circle equal to the base. THEOREM IV. If a pyramid be cut by a plane para/lc/ to the base, I. The edges and altitude will be divided... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...are respectively equal. Therefore, the polygons are equal. 674. Corollary.—The section of a prism made by a plane parallel to the base is equal to the base, and the given prism is divided into two prisms. If two parallel planes cut a prism, as stated in the... | |
 | C. Davies - 1867 - 342 pages
...the polygon IL is equal to AC. Sch. It was shown in Definition 18, that the section of a cylinder, by a plane parallel to the base, is 'a circle equal to the base. THEOREM IV. If a pyramid be cut by a plane parallel to the base, I. The edges and altitude mil be divided proportionally.... | |
 | Charles Davies - Geometry - 1870 - 392 pages
...the polygon IL is equal to AC. Sch. It was shown in Definition 18, that the section of a cylinder, by a plane parallel to the base, is a circle equal to the base. THEOREM IV. If a pyramid be cut by a plane parallel to the base, I. The edges and altitude will be divided... | |
 | John Reynell Morell - Geometry - 1871 - 156 pages
...equal to the diameter of the base, the cylinder is called equilateral. Every section of a cylinder by a plane parallel to the base, is a circle equal to the base; and every section that passes by the axis is double of the generating rectangle. 157. The lateral area... | |
 | Eli Todd Tappan - Geometry - 1873 - 288 pages
...are respectively equal. Therefore, the polygons are equal. 674. Corollary—The section of a prism made by a plane parallel to the base is equal to the base, and the given prism is divided into two prisms. If two parallel planes cut a prism, as stated in the... | |
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