Books Books
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 : XVI.
The first six books of the Elements of Euclid, with numerous exercises - Page 2
by Euclides - 1853 - 147 pages

Mensuration for Beginners: With Numerous Examples

Isaac Todhunter - Measurement - 1869 - 312 pages
...polygon which are not adjacent is also called a 15. A circle is a plane figure bounded by one lino which is called the circumference, and is such that...figure to the circumference are equal to one another: this point is called the centre of the circle. A radius of a circle is a straight line drawn from the...

Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870 - 270 pages
...may be drawn from any one point to any other point. DEMONSTRATION. — Def. 15. A circle is a plane figure contained by one line which is called the circumference,...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 - Geometry, Plane - 1870 - 304 pages
...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 - Education, Higher - 1870 - 350 pages
...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,"...

Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...angle. XII. A FIGURE is that which is enclosed by one or -ore boundaries. XIII. A CIRCLE is a plane figure contained by one line, -which is called the...CIRCUMFERENCE, and is such, that all straight lines drawn to the circumference from a certain point (called the CENTRE) within the figure are eqxial to one another....

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

1871 - 800 pages
...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...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...angle. XII. A FIGURE is that which is enclosed by one or •'ore boundaries. XIII. A CIRCLE is a plane figure contained by one line, which is called the...CIRCUMFERENCE, and is such, that all straight lines drawn to the circumference from a certain point (called the CENTRE) within the figure are equal to one another....

The popular educator, Volume 1; Volume 29

Popular educator - 1872 - 848 pages
...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...