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" A definition should equally avoid excess and defect. It should express neither too much nor too little. It should be so full as perfectly to identify the object defined, but should not include properties the possibility of whose combination is yet to... "
An Essay Upon the Study of Geometry in Common Schools - Page 22
by Stephen Chase - 1847 - 26 pages
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Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...SECOND. , Of the Circle and the Measure of Angles. DEFINITIONS. 90. 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.,46....
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Elements of Geometry

Adrien Marie Legendre - 1825 - 570 pages
...SECOND. Of the Circle and the Measure of Angles. DEFINITIONS. ^0. 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*. 46. 91....
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Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...SECOND. Of the Circle and the Measure of Angles. DEFINITIONS. 90. 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. 46....
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 156 pages
...of a straight line and a curve. THE CIRCLE AND ITS PARTS. DBF. — A circle is a figure bounded by a curved line, all the points of which are equally distant from one point called the centre. Thus if all the points in the curved line BCGDFE (fig. 5) are equally...
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A complete, scientific, and popular treatise upon perspective, with the ...

Complete, scientific and popular treatise - 1836 - 230 pages
...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 EQUAL PARTS. FIG. 31. Let...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...BOOK III. THE 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...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1837 - 216 pages
...CHAPTER VIII. THB CIRCLE AND THE MEASURE OF ANGLES. • 84. Definitions. 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. . 85. Definitions....
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 288 pages
...SECOND. Of 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,....
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First Lessons in Geometry: Upon the Model of Colburn's First Lessons in ...

Alpheus Crosby - Geometry - 1847 - 190 pages
...sixteen may write, another boy of sixteen may learn. We believe that Geometry, instead of being confined, as formerly, to philosophers, or, as more recently,...interior point, called the centre," * does not * " La circtmference du cercle eat une ligne courbe, dont tous lea points sont. egalement distants d'un point...
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First Lessons in Geometry: Upon the Model of Colburn's First Lessons in ...

Alpheus Crosby - Geometry - 1847 - 192 pages
...sixteen may write, another boy of sixteen may learn. We believe that Geometry, instead of being confined, as formerly, to philosophers, or, as more recently,...an interior point, called the centre," * does not identify the circumference of a circle-; but is equally applicable to any line whatever drawn upon...
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