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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. "
A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ... - Page iii
by Daniel Cresswell - 1816 - 294 pages
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 pages
...Definitions. — 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. And that point is called the centre of the circle. General Enunciation. From...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 170 pages
...or more boundaries. 15. 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, called the CENTRE, to the circumference are equal to each other. Each of such equal straight lines...
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Intuitions of the Mind: Inductively Investigated

James McCosh - Intuition - 1882 - 472 pages
...any length in a straight line ;" " There may be such a figure as a circle, that is, a plane figure such that all straight lines drawn from a certain point •within the figure are equal to one another ;" and that " A circle may be described from any centre at any distance from...
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The Practical Teacher, Volume 1, Issue 1

Education - 1882
...same direction. 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 (called the centre) within the figure to the circumference are equal to one another. A rhombus is a...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...the definition of a circle (def. 15). It is to the latter part that I wish to draw your attention, ' and is such that all straight lines drawn from a certain point (the centre) within the figure to the circumference are equal.' Here is a mode of measuring the lines...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...is one not " enclosed." 11. A circle is a plane figure bounded by one line 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. 12. This point is called the centre of the circle. A radius...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...boundaries. 15. 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. And this point is called the centre of the circle. 17....
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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883 - 86 pages
...in that surface. DEF. 7. A plane figure is a portion of a plane surface enclosed by a line or lines. 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. 9. A radius...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 pages
...Definition 15. 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. Axiom 3. If equals be taken from equals, the remainders are...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...8. CIRCLES. 15. 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. And this point is called the centre of the circle. 17....
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