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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 first book of Euclid's Elements, simplified, explained and illustrated ... - Σελίδα 6
των Euclides - 1847
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870 - 270 σελίδες
...Pst. 1. A straight line may be drawn from any one point to any other point. DEMONSTRATION. — Def. 15. A circle is a plane figure contained by one line...lines drawn from a certain point within the figure (called the centre) to the circumferenee are equal to one another. AT. 1. Magnitudes which are equal...

An Elementary Course of Plane Geometry

Richard Wormell - 1870 - 304 σελίδες
...Circumferences.— Use of compasses. 43. A circle is a figure contained by one line, termed the circumference, such that all straight lines drawn from a certain...within the figure to the circumference are equal. If we place one of the points of a pair of compasses upon a perfectly even board, and the compasses...

The Educational Speeches of the Hon'ble John Bruce Norton

John Bruce Norton - 1870 - 350 σελίδες
...allusion to it as " a plain figure contained by one line called the circumference, and such that all right lines drawn from a certain point within the figure to the circumference are equal to one another?" Why then should we stumble or 'be offended at the use of such terms as " Estopell," "Alimony," " Certiorari,"...

The Southern Review, Τόμος 9;Τόμος 12;Τόμος 15

1871 - 800 σελίδες
...Euclid and Montucla have written in vain. According to their definition, the circumference of a circle 'is such, that all straight lines drawn from a certain point within the figure ,' etc. How in the world could such a point be otherwise than ' within the figure?' IB there any such...

The popular educator, Τόμος 1;Τόμος 29

Popular educator - 1872 - 848 σελίδες
...contained or bounded by a canal line, called the circumference or periphery, which is snch that aU straight lines drawn from a certain point within the figure to the circumference are equal to each other. This point Kg. 6. Fig. 7. is called the centre of the circle, and each of tho straight...

The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 σελίδες
...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...

Elementary Mathematics: Embracing Arithmetic Geometry, and Algebra

Lewis Sergeant - 1873 - 182 σελίδες
...figures, are limited by more than four straight lines. 34. A circle is a figure contained by one line, called the circumference, and is such that all straight lines drawn from a certain point within the circle to the circumference are equal to each other. 35. This point is called the centre of the circle;...

Pure mathematics, Τόμος 1

Edward Atkins - 1874 - 426 σελίδες
...boundary is the extremity of anything. 14. A figure is that which is enclosed by one Or more boundaries. 15. A circle is a plane figure contained by one line,...And this point is called the centre of the circle, [and any straight line drawn from the centre to the circumference is called a radius of the circle]....

The Intuitions of the Mind Inductively Investigated

James McCosh - 1874 - 484 σελίδες
...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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 σελίδες
...is the extremity ot any tM%. XIV. A figure is that which is enclosed TiV one or more boundaries. XV. A circle is a plane figure contained by one line,...figure to the circumference, are equal to one another. XVL And this point i* called the center of the circle. xvn. A diameter of a circle is a straight line...




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