 | Albert Ensign Church - 1865 - 214 lapas
...a right line as an axis, when it is so moved that each of its points describes the circumference of a circle whose plane is perpendicular to the axis, and whose centre is in the axis. By this revolution, it is evident that the relative position of the points of the object... | |
 | Albert Ensign Church - 1865 - 160 lapas
...a right line as an axis, when it is so moved that each of its points describes the circumference of a circle whose plane is 'perpendicular to the axis, and whose centre is in the axis. By this revolution, it is evident that the relative position of the points of the object... | |
 | Albert Ensign Church - 1867 - 210 lapas
...a right line as an axis, when it is so moved that each of its points describes the circumference of a circle whose plane is perpendicular to the axis, and whose centre is in the axis. By this revolution, it is evident that the relative position of the points of the object... | |
 | Solomon Woolf - 1888 - 176 lapas
...plane a meridian plane. During rotation every point of the meridian describes the circumference of a circle whose plane is perpendicular to the axis and whose centre lies in it. These circles are the parallels, and may also be generatrices of the surface. 137. While... | |
 | Solomon Woolf - 1906 - 170 lapas
...plane a meridian plane. During rotation every point of the meridian, describes the circumference of a circle whose plane is perpendicular to the axis and whose centre lies in it. These circles are the parallels, and. may also be generatrices of the surface. 137. While... | |
 | Alphonse Andrew Adler - 1912 - 370 lapas
...revolving about another straight line in its own plane as an axis, so that every point on the revolving line describes a circle whose plane is perpendicular to the axis, and whose centre is in the axis. Thus, only two cases of singly curved surfaces "can obtain, the conical and the cylindrical... | |
 | Alphonse Andrew Adler - 1912 - 372 lapas
...revolving about a straight line in its own plane as an axis so that every point on the revolving curve describes a circle whose plane is perpendicular to the axis, and whose centre lies in the axis. Hence, there are infinite varieties of doubly curved surfaces of revolution as the... | |
 | William Fogg Osgood - 1925 - 554 lapas
...is Consider a drum-head vibrating so that points initially equidistant from the axis always lie on a circle whose plane is perpendicular to the axis and whose centre is in the axis. On introducing polar coordinates we see that du/dB = 0, and hence ^.«2f^ + 1^1 W \ dr2... | |
 | 140 lapas
...anchor ring. Now if we rotate about the axis ; the limiting point with regard to which we inverted describes a circle (whose plane is perpendicular to the axis and whose centre is on the axis). .'. the required locus consists of a straight line and a circle. 501. Let Oj, O2 be the centres of... | |
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Any geometrical magnitude or object is said to be revolved about a right line as an axis, when it is so moved that each of its points describes the circumference of a circle whose plane is 'perpendicular to the axis, and whose centre is in the axis. By... 