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" A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference. "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 3
by Robert Potts - 1860 - 361 pages
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...straight line drawn through SeeN. the centre, and terminated both ways by the circumference. XVIII. A semicircle is the figure contained by a diameter...of the circumference cut off by the diameter. XIX. " A segment of a circle is the figure contained by a " straight line, and the circumference it cuts...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 210 pages
...the circumference; and a radius is a straight line drawn from the centre to the circumference. 22. A semicircle is the figure contained by a diameter...part of the circumference cut off by the diameter. Note. The circumference of a circle is often called a circle: and the arch of a semicircle is often...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1832 - 358 pages
...is a straight line drawn through the centre, and terminated both ways by the circumference. \ XIV. A semicircle is the figure contained by a diameter and the part the circumference cut off by the diameter. XV. Rectilineal figures are those which are contained by...
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The First Six Books of the Elements of Euclid: With Notes

Euclid - Euclid's Elements - 1833 - 216 pages
...circumference. 18. A radius of a circle is a right line drawn from the centre to the circumference. 19. A semicircle is the figure contained by a diameter,...part of the circumference cut off by the diameter. 20. A rectilineal figure is a plane surface bounded by right lines. 21. A triangle is a rectilineal...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...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...the circumference cut off by the diameter. • XIX. " A segment of a circle is the figure contained by a " straight line, and the circumference it cuts...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...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...part of the circumference cut off by the diameter. 15. Rectilineal figures are those which are contained by straight lines. 16. Trilateral figures, or...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...The following, which is Euclid's definition of the semicircle, will perhaps be preferred by some : " A semicircle is the figure contained by a diameter...part of the circumference cut off by the diameter." It may be proved that a diameter divides a circle into two equal parts, by inverting one of them and...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...circumference. 17. A line drawn from the centre to the circumference of a circle is called a radius. 18. A semicircle is the figure contained by a diameter...part of the circumference cut off by the diameter. 19. Rectilineal figures are those which are contained by straight lines. 20. Trilateral figures, or...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...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,...part of the circumference cut off by the diameter. . • i XVI. Rectilineal figures are those which are contained by straight lines only. The word "contained"...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...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 cut off by that diameter. • XIX. " A segment of a circle is the figure contained by a straight line, and the...
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