| Henry Angel - 1880 - 372 pàgines
...notion of a right cone is that of a pyramid with circular base. Enclid defines it as being generated by the revolution of a right-angled triangle about one of the sides containing the right angle. It is best for our purpose, however, to conceive of the surface being developed by the rotation of... | |
| Henry Angel - 1880 - 360 pàgines
...indicated in these problems, only one-half of the above surface is meant, such as would be generated by the revolution of a right-angled triangle, about one of the sides containing the right angle ; but as will be seen in future problems, it is better to consider the surface as generated by the... | |
| S. Holker Haslam, Joseph Edwards - 1881 - 168 pàgines
...Results (a), (0), (7), should be remembered. 81 CHAPTER VII. THE RIGHT CIRCULAR CONE. Def. — ' A cone is a solid figure described by the revolution...containing the right angle, which side remains fixed.' [Euc. XI. Def. 18.] 151. Let VHP be the right-angled triangle, VH the side which remains fixed. As... | |
| S. Holker Haslam, Joseph Edwards - 1881 - 168 pàgines
...Results (o), (0), (7), should be remembered. (7) 81 CHAPTER VII. THE RIGHT CIRCULAR CONE. Def. — ' A cone is a solid figure described by the revolution...containing the right angle, which side remains fixed.' [Euc. XI. Def. 18.] 151. Let VHP be the right-angled triangle, VH the side which remains fixed. As... | |
| Euclides - 1881 - 236 pàgines
...The straight line drawn from the centre to the superficies of a sphere is called its radius XVIII. A cone is a solid figure described by the revolution...triangle about one of the sides containing the right angie, that side remaining fixed. If the fixed side be equal to the other side containing the right... | |
| Samuel Earnshaw - 1881 - 602 pàgines
...the vertex. The (right) cone as defined by EDCLID (Book XI. def. 18) is the finite figure (p. 193) described by the revolution of a right-angled triangle...about one of the sides containing the right angle. f The cone and its axis are thus defined by APOI.LONIUS at the beginning of his Tlipl KuiirtKiau (p.... | |
| Charles Taylor - 1881 - 486 pàgines
...of the vertex. The (right) cone as defined by EOCMD (Book XI. def. 18) is the finite figure (p. 193) described by the revolution of a right-angled triangle...about one of the sides containing the right angle. t The cone and its axis are thus defined by Aroi.LONius at the beginning of his TTtpl Kcofinwi/ (p.... | |
| Evan Wilhelm Evans - 1884 - 242 pàgines
...whose base is a regular polygon, and the triangular faces are equal and isosceles. 3. A cone is a solid described by the revolution of a right-angled triangle...containing the right angle, which side remains fixed. The fixed side is called the axis of the cone. The hypotenuse describes the convex surface. The circle... | |
| James Gow - 1884 - 350 pàgines
...excellent mathematician of the first century BC, the following remarks1: "The ancients, defining a cone as the revolution of a rightangled triangle about one of the sides containing the right angle, naturally supposed also that all cones are right and there is only one kind of section in each —... | |
| David Allan Low - 1884 - 142 pàgines
...A right circular cone may also be defined as a solid, described by the revolution of a right angled triangle about one of the sides containing the right angle, which side remains fixed. The fixed line about which the triangle revolves is the axis, and the circle described by the other... | |
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