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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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...any thing. 14. A figure is that which is enclosed 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 Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...a right angle. XTTI. A term or boundary is the extremity of any thing. xrv. XV. A circle is a plane figure contained by one line, which is called the...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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Elementary Mensuration for the use of schools, etc

Septimus Tebay - Measurement - 1868 - 168 pages
...10. An acute angle is less than a right angle. 11. A circle is a plane figure contained by one line, called the circumference, and is such that 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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Mensuration for Beginners: With Numerous Examples

Isaac Todhunter - Measurement - 1869 - 312 pages
...polygon 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...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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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870 - 270 pages
...may be drawn from any one point to any other point. DEMONSTRATION. — Def. 15. A circle is a plane figure contained by one line which is called the circumference,...lines drawn from a certain point within the figure (called the centre) to the circumferenee are equal to one another. AT. 1. Magnitudes which are equal...
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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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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...angle. XII. A FIGURE is that which is enclosed by one or -ore boundaries. XIII. A CIRCLE is a plane figure contained by one line, -which is called the...CIRCUMFERENCE, and is such, that all straight lines drawn to the circumference from a certain point (called the CENTRE) within the figure are eqxial 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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...angle. XII. A FIGURE is that which is enclosed by one or •'ore boundaries. XIII. A CIRCLE is a plane figure contained by one line, which is called the...CIRCUMFERENCE, and is such, that all straight lines drawn to the circumference from a certain point (called the CENTRE) within the figure are equal to one another....
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