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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. "
The Elements of Euclid: viz. the first six books, together with the eleventh ... - Page 11
by Robert Simson - 1835 - 513 pages
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...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. XVL This point is called the centre of the circle. XVII, A diameter of a circle is a straight line...
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Lessons on the globes

T H. Howe - 1842 - 458 pages
...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. c That point within the circle which is thus equally distant from the circumference, is called the...
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Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - Arithmetic - 1842 - 320 pages
...from a certain point within it. called the CENTRE. An ARC is any part of the circumference. 35. The DIAMETER of a circle, is a straight line drawn through the centre and terminating in the circumference on each side. A Q. What is a Quadrilateral? 27. Parallelogram? 27....
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A course of practical geometry for mechanics

William Pease - Geometry - 1843 - 80 pages
...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...And this point is called the centre of the circle. A circle is the superficies or space enclosed by its circumference. 14. A great circle is that plane...
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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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Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - Arithmetic - 1843 - 320 pages
...from a certain point within it, called the CENTRE. An ARC is any part of the circumference. 35. The DIAMETER of a circle, is a straight line drawn through the centre and terminating in the circumference on each side. A Fig. 14. Q. What is a Quadrilateral? 27.Parallelogram?...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...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...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
...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...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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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 382 pages
...plane figure contained by one line, which is called the circumference* and is such that R all straight lines drawn from a certain point within the figure to the circumference are equal to one another.* 31. That point is called the centre of the circle. 32. Any straight line drawn from the centre of a...
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