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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: Viz. the First Six Books, Together with the Eleventh ... - Page 9
by Euclid, Robert Simson - 1821 - 516 pages
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...thing. XIV. A figure is that which is enclosed by one or more boundaries. XV. Acircleis aplanefigure contained by one line, which is called the circumference,...And this point is called the centre of the circle. XVII. A diameter of a circle is a straight line drawn through the centre, and terminated both wa\s...
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A course of practical geometry for mechanics

W. PEASE - 1846 - 86 pages
...&c. ; but geometrically, that only is a figure, which has either superficial or solid content. 28*. A Circle is a plane figure contained by one line,...figure to the circumference, are equal to one another. 29*. And this point is called the Centre of the circle. A circle is the superficies or space enclosed...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...contained in a figure, without any reference to the nature of the line or lines which bound it. 11. A circle is a plane figure contained by one line,...figure to the circumference, are equal to one another. 12. And this point is called the centre of the circle. 13. A diameter of a circle is a straight line...
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A Technological Dictionary: Explaining the Terms of the Arts, Sciences ...

W. M. Buchanan - Science - 1846 - 768 pages
...magical operations. CIB'CLB, Lat. circulus, from circus. A geometrical figure contained under one line called the circumference ; and is such, that all straight...lines drawn from a certain point within the figure called the centre, to the circumference, arc equal to one another. Thus, In the figure, AB = AC = AD....
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Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846 - 272 pages
...called acute. 14. A plane figure is a plane superficies, bounded 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...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
...enclosed by one or more boundaries. The quantity of space contained in any figure is called its area. 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...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 326 pages
...expression, in ( n — 3). [See Elements of Algebra, Art. 178.] XXIII. A circle is a plane figure bounded by one line, which is called the circumference ; and...straight lines drawn from a certain point within the circle to the circumference, are equal to one another. This point is called the centre of the circle....
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The Philosophy of the Inductive Sciences: Founded Upon Their History, Volume 1

William Whewell - Science - 1847 - 756 pages
...circle, — " that it is a figure contained by one line, which is called the circumference, and which is such, that all straight lines drawn from a certain point within the circumference are equal to one another," — we were to substitute an axiom and a definition, as follows...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...is greater than a right angle. XII. An acute angle is that which is less than a right angle. XIII. XIV. A figure is that which is inclosed by one or...equal to one another. XVI. And this point is called ttas centre of the circle. XVII. A diameter of a circle is a straight line drawn through the centre,...
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Lessons on the delineation of form

Charles Richson - 1848 - 98 pages
...DEFINITIONS, which may be illustrated by the diagrams; and upon which suitable questions may be asked. 1. "A circle is a plane figure, contained by one line,...figure to the circumference are equal to one another/' "And this point is called the centre of the circle." (A pair of dividers or compasses will be useful...
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