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" CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E. "
Elements of Geometry - Page 22
by Adrien Marie Legendre - 1825 - 224 pages
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - Conic sections - 1845 - 542 pages
...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...
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Practical Arithmetic: Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - Arithmetic - 1846 - 362 pages
...diameter by 3.14159. (Leg. 11. 5. Sch.) Note. — The circumference of a circle is a curve line, al1 the points of which are equally distant from a point within, called the centre. The diameter of a circle is a straight line which passes through the centre, and is terminated on both...
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Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - Arithmetic - 1847 - 432 pages
...Multiply the diameter by 3.14159. (Leg. V. 11. Sch.) Note. — The circumference of a circle is a curve line, all the points of which are equally distant from a point within, called the centre. The diameter of a. circle is a straight line which passes through the centre, and is terminated on both...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1847 - 204 pages
...sides. CHAPTER XVIII. THE SPHERE. 415. Definition. A sphere is a solid terminated by a curved surface, all the points of which are equally distant from a point within called the centre. 416. Corollary. The sphere may be conceived to be generated by the revolution of a semicircle, DAE...
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Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - Arithmetic - 1847 - 426 pages
...Multiply the diameter by 3.14159. (Leg. V. 11. Sch.) Note. — The circumference of a circle is a curve line, all the points of which are equally distant from a point within^ called the ce-ndre. The diameter of a. circle is a straight line which passes through the centre, and is terminated...
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First Lessons in Geometry: Upon the Model of Colburn's First Lessons in ...

Alpheus Crosby - Geometry - 1847 - 192 pages
...combination is yet to be proved. Thus, Legendre's definition of the circumference of a circle as " a curved line, all the points of which are equally distant from an interior point, called the centre," * does not identify the circumference of a circle-; but is equally...
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An Essay Upon the Study of Geometry in Common Schools

Stephen Chase - Geometry - 1847 - 28 pages
...combination is yet to be proved. Thus, Legendre's definition of the circumference of a circle as " a curved line, all the points of which are equally distant from an interior point, called the centre," * does not * "La circonference du cercle est une ligne courbe,...
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Higher Arithmetic, Or, The Science and Application of Numbers: Combining the ...

James Bates Thomson - Arithmetic - 1848 - 432 pages
...Multiply the diameter by 3.14159. (Leg. V. 11. Sch.) Note.—The circumference of a circle is a curve line, all the points of which are equally distant from a point within, called the centre. The diameter of a circle is a straight line which passes through the centre, and is terminated on both...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 pages
...MxQxRxV=NxPx SxT or MxRxQxV=NxSxPxf BOOK III. THE CIRCLE, AND THE MEASUREMENT OF ANGLES. Definitions. 1. The circumference of a circle is a curved line, all...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 centre...
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Ticknor's Mensuration, Or, Square and Triangle: Being a Practical and ...

Almon Ticknor - Measurement - 1849 - 156 pages
...contained in the other two squares B and C. SECTION 4. — THE CIRCLE AND MEASUREMENT or ANGLES. 27. The circumference of a circle is a curved line, all...equally distant from a point within, called the centre. Every straight line, CA, CE, ,CD, drawn from the centre to the circumference is called a radius, or...
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