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" A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another : XVI. "
The Elements of Geometry, Symbolically Arranged - Page 5
by Great Britain. Admiralty - 1846
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The Train, Volume 5

1858 - 402 pages
...figure, contained by one line, selfinterest, which is called the circumference, and is such, that all lines drawn from a certain point within the figure, to the circumference (i,e., all motives, from the highest to the lowest men), are equal to one another. Sometimes a circle...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...any thing. XIV. A figure is that which is enclosed by one or more boundaries. XV. A circle is a plane figure contained by one line, which is called the...to one another. XVI. And this point is called the center of the circle. xvn. A diameter of a circle is a straight line drawn through the center, and...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...reference to that of another figure, with which it is compared, is called its area. 17. A circle is a plane figure contained by one line, which is called the...figure to the circumference, are equal to one another. 18. This point is called the centre of the circle, as C. Any other point within the circle is an eccentric...
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The Intuitions of the Mind Inductively Investigated

James McCosh - History - 1860 - 512 pages
...to any length in a straight line;" "There may be such a figure as a circle, that is, a plane figure such that all straight lines drawn from a certain point within the figure are equal to one another;" and that "A circle may be described from any centre at any distance from...
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The quadrature of the circle: correspondence between an eminent ...

James Smith - Circle-squaring - 1861 - 292 pages
...imagine," is a plane figure, enclosed by one line, which is called the circumference of the circle, it is such, that all straight lines drawn from a certain...figure to the circumference, are equal to one another. This point within the figure is called the centre of the circle. A straight line drawn through the...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 pages
...A terminated line may be produced to any length in a st. line. DEM. — Def. 15, I. A 0 is a plane figure contained by one line, which is called the circumference, and is such that all st. lines drawn from a certain point within the figure to the 0ce are equal to one another. 8, I. If...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...thing.' XIV. A figure is that which is enclosed by one or more boundaries. XV. IA circle is a plane figure contained by one line, which is called the...this point is called the centre of the circle. XVII. XVIII. A semicircle is the figure contained by a diameter and the part of the circumference cut off...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...anything. 14. A figure is that which is inclosed by one or more boundaries. 15. A circle is a plane figure contained by one line, which is called the...figure to the circumference are equal to one another. 16. And this point is called the centre of the circle. 17. A diameter of a circle is a straight line...
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - 74 pages
...plane figure contained by one line, which is called the circumference (circvmferri; to carry round), and is such that all straight lines drawn from a certain point ivithiu the figure to the circumference, are equal to one another. Any portion of a circumference is...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...any thing. XIV. A figure is that wnich is enclosed by one or more boundaries. XV. A circle is a plane figure contained by one line, which is called the...to one another. XVI. And this point is called the center of the circle. XVII. A diameter of a circle is a straight line drawn through the center, and...
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