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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: With, Practical Applications - Page 17
by George Roberts Perkins - 1850 - 320 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 point within the figure to the circumference, are equal to one another. This point within the figure is called the centre...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 pages
...line may be produced to any length in a st. line. DEM. — Def. 15, I. A 0 is a plane figure contained by one line, which is called the circumference, and is such that all st. lines drawn from a certain point within the figure to the 0ce are equal to one another. 8, I. If...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...figure is that which is inclosed by one or more boundaries. 15. A circle is a plane figure contained by one line, which is called the circumference, and...straight lines drawn from a certain point within the figure to the circumference are equal to one another. 16. And this point is called the centre of the...
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Artis logicę rudimenta, from the text of Aldrich, with notes, by H.L. Mansel

Henry Aldrich - 1862 - 380 pages
...by a direct appeal to the intuition. So also the definition, that " a circle is a figure contained by one line which is called the circumference, and...straight lines drawn from a certain point within the figure to the circumference are equal to one another," involves the assumption that a line so drawn...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 pages
...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 circumference, and...straight lines drawn from a certain point within the figure to the circumference, are equal to one another. XVI. And this point is called the centre of...
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - 74 pages
...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 the figure to the circumference, are equal to one another. Any portion of a circumference is...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...figure is that which is enclosed by one or more boundaries. XV. A circle is a plane figure contained by one line, which is called the circumference, and...straight lines drawn from a certain point within the figure to the circumference, are equal to one another. And this point is called the center of the circle....
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The Constructive arithmetic

James A. Christie - 1865 - 454 pages
...circle containing 70- ao. 2- rd. 2976 po. statute measure 1 i "A circle is a plane figure, contained by one line, which is called the circumference, and...straight lines drawn from a certain point within the figure to the circumference are equal to one another. And this point is called the centre of the circle....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...figure is that which is enclosed by one or more boundaries. XV. A circle is a plane figure contained by one line, which is called the circumference, and...straight lines drawn from a certain point within the figure to the circumference, are equal to one another. XVI. And this point is called the center of...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...figure is that which is enclosed by one or more boundaries. XV. A circle is a plane figure contained by one line, which is called the circumference, and...straight lines drawn from a certain point within the figure to the circumference are equal to one another. XVI. And this point is called the centre of the...
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