| Adrien Marie Legendre - 1836 - 394 pages
...are in the convex surface of the cone, and the pyramid is said to be inscribed in the cone. 8. The sphere is a solid terminated by a curved surface,...distant from a point within, called the centre. The sphere may be conceived to be generated by the revolution of a semicircle DAE about its diameter DE... | |
| Complete, scientific and popular treatise - 1836 - 230 pages
...the revolution of a right angled triangle, having for its base a circle. A sphere is a solid, bounded by a curved surface, all the points of which are equally distant from an interior point called a centre. PLATE II. PRACTICAL GEOMETRY. TO DIVIDE A STRAIGHT LINE INTO TWO... | |
| Benjamin Peirce - 1837 - 216 pages
...their homologous sides. Radii and Section of a Sphere. CHAPTER XVIII. THE SPHERE. 415. Definition. A sphere is a solid terminated by a curved surface,...equally distant from a point within called the centre. 41G. Corollary. The sphere may be conceived to be generated l,y the revolution of a semicircle, DAE... | |
| Adrien Marie Legendre - 1838 - 382 pages
...THE MEASUREMENT OF ANGLES. Definitions. 1. The circumference of a circle is a curved line, all die points of which are equally distant from a point within, called the centre. The circle is Ihe space terminated by this curved line.* 2. Every straight line, CA, CE, CD, drawn from... | |
| Charles Davies - 1840 - 262 pages
...a cylinder and cone have equal bases and altitudes, the cone will be one-third of the cylinder. 11. A Sphere is a solid terminated by a curved surface...all the points of which are equally distant from a certain point called the centre. 12. The sphere may be described by revolving a semicircle ABD about... | |
| Adrien Marie Legendre - 1841 - 288 pages
...sides, or diagonals of the polyedrons, we shall have SECTION THIRD. Of the Sphere. DEFINITIONS. 437. A sphere is a solid terminated by a curved surface,...distant from a point within called the centre. The sphere may be conceived to be generated by the revolution of a semicircle DAE (fig. 220) about its... | |
| J. M. Scribner - 1844 - 130 pages
...right cone is the distance between the peripheries of the two ends, measured upon the surface. 10. A Sphere is a solid, terminated by a curved surface,...distant from a point •within, called the centre. A sphere may be described by the revolution of a semi-circle about a diameter. 11. A radius of a sphere... | |
| Nathan Scholfield - 1845 - 506 pages
...SPHERICAL GEOMETRY. SPHERICAL GEOMETRY. DEFINITIONS. 1 . THE sphere is a solid terminated by a curve surface, all the points of which are equally distant from a point within, called the centre. The sphere may be conceived to be generated by the revolution of a semicircle DAE about its diameter DE;... | |
| Nathan Scholfield - 1845 - 894 pages
...SPHERICAL GEOMETRY. SPHERICAL GEOMETRY. DEFINITIONS. 1. THE sphere is a solid terminated by a curve surface, all the points of which are equally distant from a point within, called the centre. The sphere may be conceived to be generated by the revolution of a semicircle DAE about its diameter DE;... | |
| Nathan Scholfield - 1845 - 244 pages
...SPHERICAL GEOMETRY. SPHERICAL GEOMETRY. DEFINITIONS. 1. THE sphere is a solid terminated by a curve surface, all the points of which are equally distant from a point within, called the centre. G The sphere may be conceived to be generated by the revolution of a semicircle DAE about its diameter... | |
| |