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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 : 16. "
The Elements of Euclid, the parts read in the University of Cambridge [book ... - Page 2
by Euclides - 1846
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The Quadrature of the Circle: Correspondence Between an Eminent ...

James Smith - Circle-squaring - 1861 - 200 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
...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
...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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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863
...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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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...angle. XTII. A tenn or boundary is the extremity of any thing. XIV. A figure is that wnich is enclosed by one or more boundaries. XV. A circle is a plane...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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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...angle. XIII. A term or boundary is 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 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
...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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Definitions in Astronomy and Navigation Made Easy

John Bradley Harbord - Astronomy - 1865 - 29 pages
...of Navigation.' CHAPTER II. DEFINITIONS. THE SPHERE. A Sphere : A figure bounded by a curved surface such that all straight lines drawn from a certain point within the figure to the surface are equal to one another : this point is called the Centre of the Sphere. Great Circles of...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 317 pages
...contained in a figure, without any reference to the nature of the line or lines which bound it. 11. A circle is a plane figure contained by one line,...the figure to the circumference, are equal to one .mother and are called radii 12. And this point is called the centre of the circle. 13. A diameter...
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Outlines of geometry; or, The motion of a point

Walter Marsham Adams - 1866
...Circle; and secondly, to examine some of the various parts of these figures.. " A Circle," says Euclid, " is a plane figure contained by one line, which is...figure to the circumference are equal to one another. And this point is called the centre of the circle " (1.) (AB=AP.) The definitions correspond exactly....
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