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" A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference. "
Mensuration for Beginners: With Numerous Examples - Page 124
by Isaac Todhunter - 1869 - 296 pages
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...to one another. XVI. 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 ways by the circumference. XVIII. A semicircle is the figure contained by a diameter and the part of the circumference...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 288 pages
...thus described by the curve DAE will have all its points equally distant from the centre C. 438. The radius of a sphere is a straight line drawn from the centre to a point in the surface ; the diameter or axis is a line passing through the centre, and terminated...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...equal to one another. XVL 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 ways by the circumference. A semidiameter of a circle is now usually called the radius. XVIII. A semicircle is...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...to one another . 12. And this point is called the centre of the circle. 13. A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference. 14. A semicircle is the figure contained by a diameter and the part of the circumference...
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Lectures on the Principles of Demonstrative Mathematics

Philip Kelland - Algebra - 1843 - 168 pages
...be inconsistent with the Elements to adopt it in the former case too. • 14. A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference. Euclid adds, " which divides the circle into two equal parts. " This addition is in...
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A course of practical geometry for mechanics

William Pease - Geometry - 1843 - 80 pages
...each degree of longitude, depends upon its distance from the equator. XVII. A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference. XVIII. A semicircle is the figure contained by a diameter and the part of the circumference...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...to one another. XVI. 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 ways by the circumference. XVIII. A semicircle is the figure contained by a diameter and the part of the circumference...
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 pages
...circumference are equal to one another; 15. And this point is called the centre. 16. The diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference. ' 17- A semicircle is the figure contained by a diameter and the part of the circumference...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...to one another. XVI. 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 ways by the circumference. XVIII. A semicircle is the figure contained by a diameter and the part of the circumference...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pages
...sphere; any circular Kctor, as DCF or FCH, describes a solid, which is named a spherical sector. 10. The radius of a sphere is a straight line drawn from the centre to any point of the surface ; the diameter or nxis is a be passing through the centre, and terminated...
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