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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... "
Mensuration of Lines, Areas, Surfaces, and Volumes ... - Page xiii
by Robert Rawson - 1856
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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...centre, and terminated both ways by the circumference. Euclid adds, " which divides the circle into two equal parts. " This addition is in reality a theorem...
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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...centre, and terminated both ways by the circumference. XVIII. A semicircle is the figure contained by a diameter and the part of the circumference cut off...
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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...centre, and terminated both ways by the circumference. XVIII. A semicircle is the figure contained by a diameter and the part of the circumference cut off...
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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
...it to the 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...centre, and terminated both ways by the circumference. ' 17- A semicircle is the figure contained by a diameter and the part of the circumference cut off...
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - Conic sections - 1845 - 542 pages
...called the centre. 4. The distance from the centre to either focus is called the eccentricity. 5. Any straight line drawn through the centre, and terminated both ways by the curve, is called a diameter. 6. The points in which any, diameter meets the curve are called the vertices...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Geometry - 1845 - 506 pages
...called the centre. 4. The distance from the centre to either focus is called the eccentricity. 5. Any straight line drawn through the centre, and terminated both ways by the curve, is called a diameter. 6. The points in which any diameter meets the curve are called the vertices...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pages
...called the-cen<re. 4. The distance from the centre to either focus is called the eccentricity. 5. Any straight line drawn through the centre, and terminated both ways by the curve, is called a diameter. 6. The points in which any diameter meets the curve are called the vertices...
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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...semicircle is the figure contained by a diameter and the part of the circumference it cut off. xix. A segment of a circle is the figure contained by a straight...
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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...centre, and terminated both ways by the circumference. 14. A semicircle is the figure contained by a diameter and the part of the circumference cut off by...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
...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 drawn through...centre, and terminated both ways by the circumference. 18. A semicircle is the figure contained by a diameter, and the part of the circumference cut off by...
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