 | George Roberts Perkins - Geometry - 1856 - 460 pages
...cylinder, and in that of the circumscribed prism ; hence they will be their lines of contact. GEOMETRY. The sphere may be conceived to be generated by the revolution of a semicircle DAE about its diameter DE ; for the surface described in this movement by the curve DAE will have all... | |
 | William Culley Bergen - 1857 - 90 pages
...equal, and AB, FE, are respectively the complements, of BD, ED, DEFINITIONS. 1. A SPHEKE is a solid, conceived to be generated by the revolution of a semicircle about its diameter. 2. A boy*s ball or marbles, cannon-balls, common nmsquet-shot, drops of rain, are so many examples of... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...cylinder, and in that of the circumscribed prism ; hence they will be their lines of contact. GEOMETRY. The sphere may be conceived to be generated by the revolution of a semicircle DAE about its diameter DE ; for the surface described in this movement by the curve DAE will have all... | |
 | William Thomas Read - 1864 - 10 pages
...Sec A ' 1 1 SiuA Cosec A SPHERICAL TRIGONOMETRY. i_ . • '"i - . "• • j ' . i (1) Definitions. A sphere may be conceived to be generated by the revolution of a semicircle about its diametel which remains statiouary: or a solid body, the diameters of which are all equal. A spherical... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...distant from an interior point, which is called the centre of the sphere. We may conceive a sphere to be generated by the revolution of a semicircle about its diameter ; for the surface described by the motion of the curve will have all its points equally distant from... | |
 | William Thomas Read - Nautical astronomy - 1869 - 176 pages
...point of more than two plane angles. 5. A sphere is a solid figure whose diameters are all equal ; it may be conceived to be generated by the revolution of a semicircle about its diameter. 6. A great circle is one drawn upon the surface of a sphere dividing it into two equal parts. 7. A... | |
 | Sir Edward James Reed, Joseph Woolley - Naval art and science - 1872 - 570 pages
...a fixed point ; this fixed point is called the centre ; the constant distance is called the radius. A sphere may be conceived to be generated by the revolution of a, semicircle about its diameter, which remains fixed throughout the motion. Every section of a sphere by a plane is a circle. DBF. A... | |
 | Electronic journals - 1874 - 490 pages
...centre." SOLUTION BY AB NEI.8ON M. I)., J>AN VILLE, KY. Let A Ije the point, and suppose the sphere to be generated by the revolution of a semicircle about its diameter EF. Take the origin of coordinates at the centre C, and let CD and PD be the coordi- I nates of any... | |
 | Mathematics - 1874 - 430 pages
...at its centre." SOLUTION BY AB NELSON MD, DANVILLE, KY. Let A be the point, and suppose the sphere to be generated by the revolution of a semicircle about its diameter EF. , Take the origin of coordinates at the centre G, and let CD and PD be the coordi- ! nates of any... | |
 | John Ogilvie - 1883 - 830 pages
...contained under a single surface, which in every part is equally distant from a point called its centre. It may be conceived to be generated by the revolution of a semicircle about its diameter, which remains flxed, and which is hence called the " - - • of the sphere. A section of a sphere made... | |
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The sphere may be conceived to be generated by the revolution of a semicircle DAE (fig. 
