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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. "
The first book of Euclid's Elements, simplified, explained and illustrated ... - Page 6
by Euclides - 1847
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...is inclosed by one or more boundaries. XV. A circle is a plane figure contained by one line, winch is called the circumference, and is such that all...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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An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

Charles Butler - Mathematics - 1814 - 528 pages
...figures as are contained by more than one line, as the triangle, square, polygon, &c. are excluded; "and is such that all straight lines drawn from a certain point within the figure" (called in the next following definition " the centre") to the circumference, are equal to one another...
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A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ...

Daniel Cresswell - Geometry - 1816 - 352 pages
...OF A SPHERE AND A PLANE. DEFINITIONS. ART. 1. A- Sphere is a solid 'figure contained by one surface, and is such that all straight lines, drawn from a certain point within the figure to the surface, are equal to one another : (2.) And this point is called the Center of the Sphere. (3.) A...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...space contained in a figure, i.mj reference, to the nature of the line or lines which bound it. XI. A circle is a plane figure contained by one line,...figure to the circumference, are equal to one another. XII. And this point is called the centre of the circle. XIII. A diameter of a circle is a straight...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...the extremity of any thing." XIV. A figure is that which is inclosed 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 circle. xy n. A diameter of a circle is a straight...
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Practical Essays on Mill Work and Other Machinery, Volume 1

Robertson Buchanan - Machinery - 1823 - 440 pages
...which meeting do not lie in one line. 55. A triangle is a figure contained by three straight lines. 56. 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. 57- The radius of a circle, is a straight line drawn...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 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 circle. XVII. A diameter of a circle is a straight...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1829 - 548 pages
...figure contained by one line, which is called the circumference, and is such that all straight lihes drawn from a certain point within' the figure to the circumference, are equal to one another : XVI. Andthis point is called the centre of the circle, XVII. A diameter of a circle is a straight...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...circle is a plane / N. figure contained by one / \ line, which is called the circumference, and is each that all straight lines drawn from a certain point...figure to the circumference are equal to one another. This point is called the centre of the circle ; and the distance from the centre to the circumference...
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The First Six Books of the Elements of Euclid: With Notes

Euclid - Euclid's Elements - 1833 - 216 pages
...is a plane figure bounded by one line, which is called the circumference, and is such that all right lines, drawn from a certain point within the figure to the circumference, are equal to one another. 1 6. And this point is called the centre of the circle. See N. 17. A diameter of a circle is a right...
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