 The area of the surface generated by a straight line revolving about an axis in its plane is equal to the product of the projection of the line on the axis by the circumference whose radius is a perpendicular erected at the middle point of the line and...  Elements of Solid Geometry - Page 98by William Herschel Bruce, Claude Carr Cody - 1912 - 110 pagesFull view - About this book
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...generated by the revolution of a straight line about another line in the same plane with it as an axis, is equal to the product of the projection of the line on the axis by the circumference whose radius is perpendicular to the revolving line erected at its middle point and terminated... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...generated by the revolution of a straight line about another line in the same plane with it as an axis, is equal to the product of the projection of the line on the aj-is by the circumference whose radius is perpendicular to the revolring line erected at its middle... | |
 | Webster Wells - Geometry - 1886 - 392 pages
...area of a cone of revolution whose volume is 432 TT and altitude 9. 357 PROPOSITION IX. THEOREM. 723. The area generated by the revolution of a straight line about an axis in its plane is equal to the projection of the line on the axis, multiplied by the circumference of a circle whose radius is the... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...conical surface, and a zone. Proposition 9. Theorem. 788. The area generated by a straight line revolving about an axis in its plane, is equal to the product of the projection of the line on the axis by the circumference whose radius is the perpendicular erected at the middle point of the line and terminated... | |
 | George Albert Wentworth - Geometry - 1888 - 466 pages
...degrees. PROPOSITION XXVI. THEOREM. 762. The area of the surface generated by a straight line revolving about an axis in its plane is equal to the product of the projection of the line on the axis l'y the circumference whose radius is a perpendicular erected at the middle point of the line and terminated... | |
 | Examinations - 1893 - 408 pages
...parallel planes, are equal polygons. 12 5 Prove that the area generated by a straight line revolving about an axis in its plane is equal to the product of the projection of the line on the axis by the circumference whose radius is the perpendicular erected at the middle point of the line and terminated... | |
 | Arthur Latham Baker - Geometry, Solid - 1893 - 154 pages
...QED PROPOSITION XVII. THEOREM. 303. The area of the surface generated by a straight line revolving about an axis in its plane is equal to the product of the projection of the line on the axis by the circumference whose radius is a perpendicular erected at the middle point of the line and terminated... | |
 | Webster Wells - Geometry - 1894 - 394 pages
...generated by the arc CD is. called the base of the spherical sector. PROPOSITION IX. THEOREM. 683. The area generated by the revolution of a straight line about an axis in its plane, not parallel to itself, is equal to its projection on the axis, multiplied by the circumference of... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 416 pages
...the altitude of the pyramid. SOLID GEOMETRY. PROPOSITION XXXI. THEOREM. 570. The area of the surf ace generated by the revolution of a straight line about an axis in its plane, but not crossing it, is equal to the projection of the line upon the axis multiplied by the circumference... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 522 pages
...is 1 yd., and whose volume is 48 n cubic ft. PROPOSITION XXXI. THBOUX. 570. The area of the surface generated by the revolution of a straight line about an axis in its plant . but not crossing it, it equal to the projection of the line u/pan the axis multiplied by the... | |
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