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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. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 19
by John Playfair - 1819 - 333 pages
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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
...distance from that centre. A st. line may be drawn from any one point to any other point. DEM. 15, 1. A circle is a plane figure contained by one line,...is called the circumference, and is such that all st. lines drawn from a certain point within the figure to the circumference, are equal to one another....
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...is the extremity of 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,...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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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...extremity of any 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...figure to the circumference are equal to one another. XVI. And this point is called the centre of the circle. XVII. XVIII. A semicircle is the figure contained...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 pages
...any thing. XIV. A figure is that which is enclosed by one or more boundaries. XV. A circle is a piano figure contained by one line, which is called the...figure to the circumference, are equal to one another. XVI. And this point is called the centre of the circle. XVII. A diameter of a circle is a straight...
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - 74 pages
...points in the same plane, the figure is called a plane figure. 15. A circle (circulus, a ring, or hoop), is a 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...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...the extremity of 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,...figure to the circumference, are equal to one another. And this point is called the center of the circle. XVII. A diameter of a circle is a straight line...
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The Constructive arithmetic

James A. Christie - 1865 - 454 pages
...WORKED our. What is the diameter of a circle containing 70- ao. 2- rd. 2976 po. statute measure 1 i "A circle is a plane figure, contained by one line,...figure to the circumference are equal to one another. And this point is called the centre of the circle. The diameter of a circle is a straight line passing...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...the extremity of 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,...figure to the circumference are equal to one another. XVI. And this point is called the centre of the circl*. XVII. A diameter of a circle is a straight...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...the extremity of 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,...figure to the circumference, are equal to one another. XVI. And this point is called the center of the circle. xvn. A diameter of a circle is a straight line...
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