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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 : XVI. "
The first six books of the Elements of Euclid, with numerous exercises - Σελίδα 2
των Euclides - 1853 - 147 σελίδες
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The Intuitions of the Mind Inductively Investigated

James McCosh - 1860 - 516 σελίδες
...to 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...

The Quadrature of the Circle: Correspondence Between an Eminent ...

James Smith - 1861 - 200 σελίδες
...imagine," is a plane figure, enclosed by one line, which is called the circumference of the circle, it is such, that all straight lines drawn from a certain...figure to the circumference, are equal to one another. This point within the figure is called the centre of the circle. A straight line drawn through the...

Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...A terminated line may be produced to any length in a st. line. DEM. — Def. 15, I. A 0 is a plane figure contained by one line, which is called the circumference, and is such that all st. lines drawn from a certain point within the figure to the 0ce are equal to one another. 8, I. If...

The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...thing.' XIV. A figure is that which is enclosed by one or more boundaries. XV. IA circle is a plane figure contained by one line, which is called the...this point is called the centre of the circle. XVII. XVIII. A semicircle is the figure contained by a diameter and the part of the circumference cut off...

Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...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, which is called the...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 line...

Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863
...plane figure contained by one line, which is called the circumference (circvmferri; to carry round), and is such that all straight lines drawn from a certain point ivithiu the figure to the circumference, are equal to one another. Any portion of a circumference is...

Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...any thing. XIV. A figure is that wnich is enclosed by one or more boundaries. XV. A circle is a plane figure contained by one line, which is called the...to one another. XVI. And this point is called the center of the circle. XVII. A diameter of a circle is a straight line drawn through the center, and...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...any thing. XIv. A figure is that which is enclosed by one or more boundaries. XV. A circle is a plane figure contained by one line, which is called the...figure to the circumference, are equal to one another. And this point is called the center of the circle. XVII. A diameter of a circle is a straight line...

Logic: Designed as an Introduction to the Study of Reasoning

John Leechman - 1864 - 209 σελίδες
...is a figure which has four equal sides, and four right angles." A circle, we should say, "is a plane figure contained by one line, which is called the...figure to the circumference are equal to one another." This kind of definition belongs to the science that is employed about the particular object defined...

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...any thing. XIV. A figure is that which is enclosed by one or more boundaries. XV. A circle is a plane figure contained by one line, which is called the...another. XVI. And this point is called the centre of the circl*. XVII. A diameter of a circle is a straight line drawn through the centre, and terminated both...




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