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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 geometry; or, The first six books, with the eleventh and ... - Page 3
by Euclides - 1855
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The elements of plane geometry, Volume 1

Mathematical association - 1884 - 146 pages
...perpendiculars let fall on it from the extremities of the former. DEF. 41. A circle is a plane figure contained by one line, which is called the circumference, and...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 Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...perpendiculars let fall on it from the extremities of the Jor1ner. DEF. 41. A circle is a plane figure contained by one line, which is called the circumference, and...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 Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...combination of points, lines, or surfaces. 16. A circle is a plane figure contained by one (curved) line which is called the circumference, and is such...figure to the circumference are equal to one another. This point is called the centre of the circle. Thus ABCDEFO is a circle, if all the straight lines...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...or 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...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...
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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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Littell's Living Age, Volume 161

American periodicals - 1884 - 862 pages
...one line [surface] which is called the circumference, and is such that all straight lines [angles] drawn from a certain point within the figure to the circumference are equal to one another. XVI. And this point [line] is called the centre of the circle [axis of the cone]. AXIOMS CALLED POSTULATES...
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Constructive geometry of plane curves

Thomas Henry Eagles - 1885 - 404 pages
...CHAPTER II. THE CIRCLE. EUCLID'S well known definition is " A circle is a plane figure •contained by one line, which is called the circumference, and...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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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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The Elements of Plane Geometry:pPart I(corresponding to Euclid Books I.-II ...

Association for the Improvement of Geometrical Teaching - Euclid's Elements - 1888 - 208 pages
...by one line, •which is called the circumference, and is such that all straight lines drawn front a certain point within the figure to the circumference are equal to one another. This point is called the centre of the circle. DEF. 2. A radius of a circle is a straight line drawn...
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