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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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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...line drawn from the centre to the circumference of a circle is called a radius, as CD, CB, or CE. 20. A diameter of a circle is a straight line drawn through...centre, and terminated both ways by the circumference, as BE. 21. A semicircle is the figure contained by a diameter, and the part of the circumference cut...
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The quadrature of the circle: correspondence between an eminent ...

James Smith - Circle-squaring - 1861 - 292 pages
...circumference, are equal to one another. This point within the figure is called the centre of the circle. A straight line drawn through the centre, and terminated both ways by the circumference, is called a diameter of the circle. Do you really mean to deny, that such a circle can be drawn? Your...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 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 tho circumference cut off...
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - 74 pages
...centre to the circumference are radii. 17. A diameter of a circle (diametros, a measure through), is any straight line drawn, through the centre, and terminated both ways by the circumference; as AB, or DE, in the circle ADBE. A diameter is double of a radius, (radius, the spoke of a wheel),...
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Spherical Trigonometry: For the Use of Colleges and Schools

Isaac Todhunter - Spherical trigonometry - 1863 - 182 pages
...the sphere. The straight line which joins any point of the surface with the centre is called a radiw. A straight line drawn through the centre and terminated both ways by the surface is called a diameter. 2. The section of the surface of a sphere made by any plane is a circle....
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 pages
...Hence all the radii of the same circle are equal, for each of them is equal to the radiant. 35. The DIAMETER of a circle is a straight line drawn through...centre, and terminated both ways by the circumference. 36. An ARC of a circle is any part of the circumference. 37. Magnitudes which coincide the whole of...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...circumference are equal to one another. XVI. And this point is called the centre of the circl*. XVII. A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circum/ ference. NB — When several angles are at one point B, any one of them is expressed by three...
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An English primer; compiled under the superintendence of E.C. Lowe

Edward Clarke Lowe - 1866 - 172 pages
...circumference are equal to one another. 1C. 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 it cuts off....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Isaac Todhunter - Euclid's Elements - 1867 - 426 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. [A radius of a circle is a straight line drawn from the centre to the circumference.] 18. A semicircle...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...a straight line drawn from the centre to any point on the surface. The diameter or axis of a sphere is a straight line drawn through the centre, and terminated both ways by the surface. It appears from Definition 1 that all the radii of the same sphere are equal, and that all...
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