| Gilbert Dyer - Arithmetic - 1770 - 240 pages
...Pyramid, be fuppofcd Infini'e, it will then be called a Cane : Or, 2I1 . A CONE may be defined to be a Solid, generated by the Revolution of a right-angled Triangle, about one of the Sides which contains the Right Angle. 212. A SPHERE is a Solid made by the Rotation of a Semi Circle about... | |
| Benjamin Donne - 1796 - 120 pages
...9. A Cone is a folid, one end of which is a circle and the other a point ; it may be conceived to be generated by the revolution of a right-angled triangle about one of the fides which contains the right arrgle ; and • " the the quiefcent fide of the revolving triangle... | |
| Adrien Marie Legendre - Geometry - 1828 - 346 pages
...section PQGH, made through the axis, is a rectangle double of the generating rectangle ABCD. 508. A cone is the solid generated by the revolution of a right-angled triangle SAB, conceived to turn about the immoveable side SA. In this movement, the side AB describes a circle... | |
| James Hayward - Geometry - 1829 - 218 pages
...the elementary treatises, are the right cone, the right cylinder and the sphere. The right cone is generated by the revolution of a right-angled triangle about one of the sides containing the right-angle, as the triangle SCA (Jig. 140) about the Fig.140. side SC. The hypothenuse SA by this... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...which a cone must be cut by a plane, in order that the section may be one of these curves. A right cone is the solid generated by the revolution of a right-angled triangle about one of its perpendicular sides. The fixed side, OH, about which the triangle revolves, is called theaxis ;... | |
| Mathematics - 1836 - 366 pages
...falling within the larger tube. 155. A solid is generated by the revolution, through a given angle, of a right-angled triangle about one of the sides containing the right angle; determine the moment of a couple which, acting in the plane of symmetry, will support the solid with... | |
| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...Every section PQG, made through the axis, is a rectangle double of the generating rectangle ABCD. 2. A cone is the solid generated by the revolution of a rightangled triangle SAB, conceived to turn about the immoveable side SA. In this movement, the side AB describes a circle... | |
| A. Bell - Conic sections - 1837 - 180 pages
...the sphere, and terminated at each extremity by the surface. 12. A right cone is a solid described by the revolution of a right-angled triangle about one of the sides containing the right angle, which remains fixed. The axis of the cone is the fixed line about which the generating triangle revolves... | |
| William Whewell - Calculus - 1838 - 212 pages
...0. 4 (5) 4J/ 2 - 8xy + x 2 + 4y + 2x - 2 = 0. (6) y 2 - 2a?y + a? 2 - 8a ? + 16 = 0. 39- A cone is a solid generated by the revolution of a right-angled triangle about one of its sides. The angle contained between the fixed side and the hypothenuse of the triangle is the vertical... | |
| Euclides - Geometry - 1841 - 378 pages
...is terminated both ways by the superficies of the sphere. XVIII. A cone is a solid figure described by the revolution of a right-angled triangle about one of the sides containing the right angle, which side remains fixed. XIX. « The ajris of a cone is the fixed straight line about which the triangle... | |
| |