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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 : 16. And this point is called the centre... "
A Course of Mathematics: Containing the Principles of Plane Trigonometry ... - Page 14
by Jeremiah Day - 1839 - 370 pages
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A course of practical geometry for mechanics

William Pease - Geometry - 1843 - 80 pages
...poles, the lineal length of 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...
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Lectures on the Principles of Demonstrative Mathematics

Philip Kelland - Algebra - 1843 - 168 pages
...therefore it appears not to 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...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...circumference, are equal 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...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...circumference, are equal 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...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...circumference, are equal 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 way s XVIII. A semicircle is the figure contained by a diameter and the...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...circumference, are equal to one another : xvi. And this point is called the centre of the circle. xvn. A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference. xvin. A semicircle is the figure contained by...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...circumference, are equal 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 wa\s XVIII. A semicircle is the figure contained by a, dia-meter and the...
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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
...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 drawn through the centre, and terminated both ways by the circumference. 14. A semicircle is the figure contained by...
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Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - Geometry - 1846 - 166 pages
...circumference of a circle : therefore all radii of the same or equal circles are equal to one another. 16. A diameter of a circle is a straight line drawn through the centre to the circumference on either side ; — of a parallelogram is that straight line which joins...
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Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 248 pages
...a straight line drawn from the center to any point on the surface. The diameter or axis of a sphere is a straight line drawn through the center, and terminated both ways by the surface. It appears from Def. 1 that all the radii of the same sphere are equal, and that all the diameters...
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