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" Every section of a cylinder made by a plane passing through an element is a parallelogram. Given ABCD, a section of cylinder AC, made by plane through element AB. "
New Plane and Solid Geometry - Page 241
by Webster Wells - 1908 - 298 pages
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Solid Geometry

Fletcher Durell - 1911 - 234 pages
...limit of the lateral area of an inscribed or circumscribed prism. PROPOSITION I. THEOREM 690. Every section of a cylinder made by a plane passing through an element is a parallelogram. Given the cylinder AQ cut by a plane passing through the element AB and forming...
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Plane and Solid Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...timber, the same size at each end, that can be cut from the log. f PROPOSITION II. THEOREM 835. Every section of a cylinder made by a plane passing through an element is a parallelogram. (See § 834.) Given cylinder AB with base AK, and CDEF a section made by a plane...
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Solid Geometry

Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 222 pages
...of whose base is 5 inches ; (6) 2 inches from the entire surface. PROPOSITION II. THEOREM 835. Every section of a cylinder made by a plane passing through an element is a parallelogram. (See § 834.) E Given cylinder AB with base AK, and CJiEF a section made by a plane...
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Final Report of the National Committee of Fifteen on Geometry Syllabus

National Education Association of the United States. National Committee of Fifteen on Geometry Syllabus - Geometry - 1912 - 100 pages
...3. Every section of a cone made by a plane passing through its vertex is a triangle. [M4.] 4. Every section of a cylinder made by a plane passing through an element is a parallelogram. [Ma.] 5. The area of a sphere lies between the areas of circumscribed and inscribed...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...is a section formed by a plane perpendicular to the elements. PROPOSITION XXIII. THEOREM 648. Every section of a cylinder made by a plane passing through an element is a parallelogram. Given ABCD, a section of cylinder AC, made by plane through element AB. To prove...
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Solid Geometry

Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...elementary geometry satisfy this requirement. MISCELLANEOUS EXERCISES. CHAPTER VII 1. Show that every section of a cylinder made by a plane passing through an element is a parallelogram. What is the section when the cylinder is a right cylinder ? 2. Show that every...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...right cylinder; otherwise a cylinder is called an oblique cylinder. PROPOSITION XX. THEOREM 574. Every section of a cylinder made by a plane passing through an element is a parallelogram. Given a cylinder AC, and a section A BCD made by a plane passing through the element...
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Plane and Solid Geometry

Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 378 pages
...resembles the object whose volume is desired. MISCELLANEOUS EXERCISES. CHAPTER VII 1. Show that every section of a cylinder made by a plane passing through an element is a parallelogram. What is the section when the cylinder is a right cylinder ? 2. Show that every...
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Third-year Mathematics for Secondary Schools

Ernst Rudolph Breslich - Logarithms - 1917 - 408 pages
...section of a prism made by a plane parallel to a lateral edge is a parallelogram. FIG. 128 258. Theorem : A section of a cylinder made by a plane passing through an element is a parallelogram. Given the cylinder AB, Fig. 128; the element DB; and plane P passing through DB....
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...is a section formed by a plane perpendicular to the elements. PROPOSITION XXIII. THEOEEM 648. Every section of a cylinder made by a plane passing through an element is a parallelogram. Given ABCD, a section of cylinder AC, made by plane through element AB. To prove...
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