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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.
Elements of Geometry, After Legendre, with a Selection of Geometrical ... - Page 255
by Charles Scott Venable - 1881

## Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1830 - 344 pages
...p : : A2 : a2. BOOK VII. THE SPHERE. Definitions. 437. The sphere is a solid terminated by a curve surface, all the points of which are equally distant...within, called the centre. The sphere may be conceived to be generated by the revolution of a semicircle DAE about its diameter DE]; for the surface described...

## Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...CIRCLE, AND THE MEASUREMENT OF ANGLES. Definitions. 1. The circumference of a circle is a curved line, all the points of which are equally distant from a point within, called the centre. The circle is the space terminated by this curved line.* 2. Every straight line, CA, CE, CD, drawn from...

## A complete, scientific, and popular treatise upon perspective, with the ...

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...

## An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 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...

## Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1838 - 386 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...

## The National Arithmetic, on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1839 - 305 pages
...base. 8. A sphere is a solid, bounded by one continued convex surface, every point of which is equally distant from a point within, called the centre. The sphere may be conceived to be formed by the revolution of a semicircle about its diameter, which remains fixed. A hemisphere...

## First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - Geometrical drawing - 1840 - 264 pages
...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...

## Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 235 pages
...the Circle and the Measure of Angles. DEFINITIONS. 87. THE circumference of a circle is a curved line all the points of which are equally distant from a point within called the centre. The circle is the space terminated by this curved line.* Fig 4t,. 88. Every straight line CA, CE, CD (fig....