| William Chauvenet - 1871 - 380 sivua
...the cylinder. The fixed side The radius of the base is called the PROPOSITION I.— THEOREM. 6. Every section of a cylinder made by a plane passing through an element is a parallelogram. Let Bb be an element of the cylinder Ac ; then, the section BbdD, made by a plane... | |
| William Chauvenet - 1872 - 382 sivua
...the cylinder. The fixed side The radius of the base is called the PROPOSITION I.—THEOREM. 6. Every section of a cylinder made by a plane passing through an element is a parallelogram. Let Bb be an element of the cylinder Ac; then, the section BbdD, made by a plane... | |
| George Albert Wentworth - 1877 - 416 sivua
...inscribed in the bases of the cylinder. GEOMETRY. BOOK .VII. PROPOSITION XXVII. THEOREM. 614. Every section of a cylinder made by a plane passing through an element is a parallelogram. С Let ABC D be a section of the cylinder AC, made by a plane passing through A... | |
| William Henry Harrison Phillips - 1878 - 236 sivua
...circle equal to the bases; for it is the base of a new cylinder cut off' by this plane. COR. 4. Every section of a cylinder made by a plane passing through an element is a parallelogram ; for a plane passing through an element, Art, will cut the circumference of the... | |
| William Chauvenet, William Elwood Byerly - 1887 - 331 sivua
...vertices are the three vertices of the inclined section. BOOK Till. THEOREMS. PROPOSITION I. Every section of a cylinder made by a plane passing through an element is a parallelogram. Corollary. Every section of a right cylinder made by a plane perpendicular to its... | |
| Edward Albert Bowser - 1890 - 418 sivua
...when its bases are circumscribed about the bases of the cylinder. Proposition 1 . Theorem. 751. Every section of a cylinder made by a plane passing through an element is a parallelogram.. Hyp. Let the plane ABCD pass through the element AB of cylinder EH. To prove the... | |
| George Albert Wentworth - 1888 - 466 sivua
...and its bases are circumscribed about the bases of the cylinder. PROPOSITION XXX. THEOREM. 641. Every section of a cylinder made by a plane passing through an element is a parallelogram. Let a plane pass through the element AD of the cylinder AC. To prove the section... | |
| William Chauvenet - 1893 - 340 sivua
...vertices are the three vertices of the inclined section. BOOK VIII. THEOREMS. PROPOSITION I. Every section of a cylinder made by a plane passing through an element is a parallelogram. Corollary. Every section of a right cylinder made by a plane perpendicular to its... | |
| Webster Wells - 1894 - 400 sivua
...by the revolution of similar rectangles about homologous sides as axes. PROPOSITION I. THEOREM. 556. A section of a cylinder made by a plane passing through an element is a parallelogram. Let ABCD be p, section of the cylinder AC, made by a plane passing through the... | |
| John Macnie - 1895 - 386 sivua
...cylinder, the plane touches but does not intersect that surface. PROPOSITION I. THEOREM. 571. Every section of a cylinder made by a plane passing through an element is a parallelogram. Given: Ac, a section of cylinder AB-c by a plane through element Aa; To Prove :... | |
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