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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, containing books i. to vi.and portions of books xi ... - Page 5
by Euclides, James Hamblin Smith - 1872 - 349 pages
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...3. A circle may be drawn with any centre, with a radius equal to any finite straight line. DEF. 41. A circle is a plane figure contained by one. line,...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...
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The Anatomy of Tobacco, Or, Smoking Methodised, Divided, and Considered ...

Arthur Machen - Smoking - 1884 - 104 pages
...the material part or genus, and the formal part or differentia. Now the definition of a circle is " A circle is a plane figure contained by one line which is called the circumference," which definition " a plane figure" is the genus, and " contained by one line" the differentia ; and...
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The Squared Circle: Being a Short Treatise, Describing the Manner by which ...

James Bailey Andrews - Circle-squaring - 1884 - 40 pages
..."Euclid's" definition of what constitutes a circle and its diameter — "A circle is 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,...
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Littell's Living Age, Volume 161

American periodicals - 1884 - 862 pages
...XV. A circle [cone of revolution with vertex at the eye] is a figure contained by 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....
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Constructive Geometry of Plane Curves: With Numerous Examples

Thomas Henry Eagles - Conic sections - 1885 - 401 pages
...is equal to four times the square on CB. CHAPTER II. THE CIRCLE. EUCLID'S well known definition is "A circle is a plane figure contained by one line,...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...
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Constructive geometry of plane curves

Thomas Henry Eagles - 1885 - 404 pages
...is equal to four times the square on CB. CHAPTER II. THE CIRCLE. EUCLID'S well known definition is " A circle is a plane figure •contained by one line,...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...
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Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - Surveying - 1889 - 306 pages
...greater than a right angle. 6. Acute Angle. — An acute angle is less than a right angle. 7. Circle. — A circle is a plane figure contained by one line,...is called the circumference, and is such that all lines drawn from a certain point within the figure to the circumference are equal to one another. 8....
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...is the extremity of anything. 14. A Figure is that which is inclosed by one or more boundaries. 15. A Circle is a plane figure contained by one line,...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...Book III. deals with the properties of Circles. DEFINITIONS. 1 . A circle is a plane figure bounded 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...
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Mining: A Journal Devoted to the Interests of Mines and Mining ..., Volume 2

Mines and mineral resources - 1894 - 330 pages
...all its sides equal, and its angles equal. rig. IB. A Circle is a plane figure contained or bounded by one line which is called the circumference, and is such that all straight lines from a certain point within the figure to the circumference are equal to one another. This point is...
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