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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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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...drawn from the centre of a circle to the circumference, is called a radius of the circle ; and any straight line drawn through the centre and terminated both ways by the circumference, is called a diameter of the circle. When a circle is said to be described abont the...
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A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - Measurement - 1834 - 182 pages
...of that circumference. A semicircle is half, and a quadrant is a quarter of a circle. The diameter is a straight line drawn through the centre, and terminated both ways by the circumference. PROBLEM I. To find the circumference of a circle, the diameter being given. Rule —...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...to one another. XVI. And this point is calledihe 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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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...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 a diameter and the part of the circumference...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...any circular sector, as DCF or'FCII, 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 axis is a line passing through this centre, and terminated...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...equal to one another. 15. This point is called the centre of the circle. 16. A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference. 17. A line drawn from the centre to the circumference of a circle is called a radius....
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1837 - 216 pages
...generated l,y the revolution of a semicircle, DAE (fig. 177) about its diameter DE. 417. Definitions. 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: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 pages
...to one another. 12. And this point is called the centre of the circle. 13. A diameter of a circlets 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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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...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. XVIII. A semicircle is the figure contained by a diameter and the part of the circumference...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...will be no necessity to alter the phraseology of the work in this respect. XIV. A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference. XV. A semicircle is the figure contained by a diameter, and the part of the circumference...
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