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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 Southern Review, Volume 9; Volume 12; Volume 15

1871
...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 - 349 pages
...less than a right 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,...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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The popular educator, Volume 1; Volume 29

Popular educator - 1872
...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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Euclid's Elements of Geometry

Euclid - Geometry - 1872 - 261 pages
...called acute. 14. A plane figure is a plane superficies, hounded on every side by one or more lines. 15. A circle is a plane figure, contained by one line, which is called the circumference; to which from a certain point within the figure, all right lines drawn are equal. 16. That point is...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter MASON - Geometry - 1872
...XII. An acute angle is an angle which is less than a right angle. Def. XV. A circle is a plane bounded figure, contained by one line, which is called the circumference, and is such, that every point in it is at the same distance from a certain point within, which is called the centre....
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873
...more boundaries. , XV. A circle is a plane figure contained by one line, called the circumference, such that all straight lines drawn from a certain...to the circumference are equal to one another. XVI. This point is called the centre. XVII. A diameter of a circle is a straight line drawn through the...
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Elementary Mathematics: Embracing Arithmetic Geometry, and Algebra

Lewis Sergeant - 1873
...figures, are limited by more than four straight lines. 34. A circle is a figure contained by one line, called the circumference, and is such that all straight lines drawn from a certain point within the circle to the circumference are equal to each other. 35. This point is called the centre of the circle;...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...is the extremity of 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,...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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Pure mathematics, Volume 1

Edward Atkins - 1874
...is the extremity of anything. 14. A figure is that which is enclosed 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, [and any straight line drawn from the centre...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...is the extremity of any thing. 14. A figure is that which is inclosed by one or more boundaries. 16. 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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