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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. "
Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... - Page 180
by Euclides - 1858
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...enclosed by one or more boundaries. 15. A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight...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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Elementary Mensuration for the use of schools, etc

Septimus Tebay - Measurement - 1868 - 168 pages
...9. An obtuse angle is greater than a right angle. 10. An acute angle is less than a right angle. 11. A circle is a plane figure contained by one line,...all straight lines drawn from a certain point within it to the circumference are equal to one another. 12. And this point is called the centre of the circle...
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Modern Methods in Elementary Geometry

E. M. Reynolds - Geometry - 1868 - 172 pages
...serious attention. As the circle is necessary to our constructions, we give here the ordinary definition. A circle is a plane figure contained by one line called the circumference, and is such that all lines drawn from a point within it to the circumference are equal. This point is called the centre...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...is the extremity of any thing. xrv. XV. 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 tie figure to the circumference, are equal to one another. XVI. And this point is called the center...
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Mensuration for Beginners: With Numerous Examples

Isaac Todhunter - Measurement - 1869 - 312 pages
...which are not adjacent is also called a 15. A circle is a plane figure bounded by one lino which is called the circumference, and is such that all straight...figure to the circumference are equal to one another: this point is called the centre of the circle. A radius of a circle is a straight line drawn from the...
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An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Plane - 1870 - 304 pages
...Circumferences.— Use of compasses. 43. A circle is a figure contained by one line, termed the circumference, such that all straight lines drawn from a certain...within the figure to the circumference are equal. If we place one of the points of a pair of compasses upon a perfectly even board, and the compasses...
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The Educational Speeches of the Hon'ble John Bruce Norton

John Bruce Norton - Education, Higher - 1870 - 350 pages
...allusion to it as " a plain figure contained by one line called the circumference, and such that all right lines drawn from a certain point within the figure to the circumference are equal to one another?" Why then should we stumble or 'be offended at the use of such terms as " Estopell," "Alimony," " Certiorari,"...
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Explanatory mensuration for the use of schools

Alfred Hiley - 1871 - 184 pages
...; but if the sides are unequal, and also the angles unequal, then it is an irregular polygon. XXIX. A circle is a plane figure contained by one line, called the circumference, and is such that all the straight lines drawn from / a certain point within it to the A circumference are equal to one another....
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The Southern Review, Volume 9; Volume 12; Volume 15

1871 - 800 pages
...Euclid and Montucla have written in vain. According to their definition, the circumference of a circle 'is such, that all straight lines drawn from a certain point within the figure ,' etc. How in the world could such a point be otherwise than ' within the figure?' IB there any such...
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The popular educator, Volume 1; Volume 29

Popular educator - 1872 - 848 pages
...contained or bounded by a canal line, called the circumference or periphery, which is snch that aU straight lines drawn from a certain point within the figure to the circumference are equal to each other. This point Kg. 6. Fig. 7. is called the centre of the circle, and each of tho straight...
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