 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
 | Custodis Canadian Chimney Co - Chimneys - 1924 - 100 pages
...same axis. The following principles in Mechanics will also be used: (5) The first moment of an area about an axis in its plane is equal to the product of the area and the distance from the axis to the centroid of the area. (6) The second moment of an area about... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1925 - 504 pages
...the circle of intersection if the radii of the spheres are 5 and 12. PROPOSITION XXVII. THEOREM 789. The area generated by the revolution of a straight line about an axis in its plane is equal to the projection of the line upon the axis multiplied by the circumference of a circle whose radius is the... | |
 | Education - 1909 - 1288 pages
...given points. 14. Prove that the plane passed through two diagonally opposite edges of a 15. Prove that the area generated by the revolution of a straight line about an axis coplanar with it, but not parallel to it, is equal to the projection of the line on the axis multiplied... | |
 | Mathematicians - 1896 - 740 pages
...corollary of the following PROPOSITION : 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 axit by the circumference whose radius is a perpendicular erected at the middle point of the line and... | |
| |
