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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 Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Page 3
by Robert Simson - 1762 - 466 pages
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...A circle is a plane figure contained by one line, called the circumference, such that all straight lines drawn from a certain point within the figure...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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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 pages
...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. Axiom 1. Magnitudes which are equal to the same magnitude are equal to one another. PROPOSITION IV....
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The elements of plane geometry, Volume 1

Mathematical association - 1884 - 146 pages
...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. This point is called the centre of the circle. DEF. 42. A radius of a circle is a straight line drawn...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...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. And this point is called the centre of the circle. 17. A diameter of a circle is a straight line...
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...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. This point is called the centre of the circle. DEF. 42. A radius of a circle is a straight line drawn...
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The Squared Circle: Being a Short Treatise, Describing the Manner by which ...

James Bailey Andrews - Circle-squaring - 1884 - 40 pages
...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, and this point is called the centre of the circle. A diameter of a circle is a right line drawn through...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...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. This point is called the centre of the circle, and the straight lines drawn from the centre to the...
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The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...circle is a plane figure formed by a curved line 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. This point is called the centre. xxxin. A radius of a circle is any right line drawn from the centre...
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Constructive geometry of plane curves

Thomas Henry Eagles - 1885 - 404 pages
...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 : and this point is called the centre of the circle". A radius of a circle is a straight line drawn...
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The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

Euclides - 1885 - 340 pages
...circle is a plane figure formed by a curved line 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. This point is called the centre. xxxm. A radius of a circle is any right line drawn from the centre...
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