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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, containing the first six books, with a selection of ... - Σελίδα 1
των Euclides - 1874
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Abraham Lincoln: The Prairie Years,

Carl Sandburg - 1926 - 528 σελίδες
...point is that which has no parts and which has no magnitude; (2) a line is length without breadth; (15) a circle is a plane figure contained by one line,...and this point is called the centre of the circle. Also it began with Axioms or Common Notions: (i) Things which are equal to the same thing are equal...

Abraham Lincoln: The Prairie Years, Τόμος 1

Carl Sandburg - 1926 - 528 σελίδες
...point is that which has no parts and which has no magnitude; (2) a line is length without breadth; (15) a circle is a plane figure contained by one line,...and this point is called the centre of the circle. Also it began with Axioms or Common Notions: (i) Things which are equal to the same thing are equal...

Stories about Mathematics-land, Τόμος 2

D. Ponton - 1927 - 168 σελίδες
...contains two right angles. A Plane Figure is any portion of a plane surface bounded by one or more lines. A Circle is a plane figure contained by one line,...figure to the circumference are equal to one another. This point is called the Centre of the Circle, and the straight line drawn from the centre to the circumference...

The Edinburgh Review, Τόμος 67

1838 - 596 σελίδες
...property for an axiom ? Will Mr Whewell reason as follows? — ' A circle ' is defined by Euclid to be " a plane figure contained by one ' line, which is called...drawn from a certain point within the figure to the circumfe' rence, are equal to one another." How does it appear that ' any line can have such a character...

Popular Science Monthly, Τόμος 68

1906 - 600 σελίδες
...circle is a plane figure contained by one line, which is called the circumference and is such that all lines drawn from a certain point within the figure...equal to one another: 16. And this point is called the center of the circle. It is evident that in the first of these statements, if ' point ' is defined,...

The Foundations of Geometry and the Non-Euclidean Plane

G.E. Martin - 1997 - 536 σελίδες
...falling upon it from one point among those lying within the figure are equal to one another. 16. And the point is called the centre of the circle. 17. A diameter of the circle is any straight line drawn through the centre and terminated in both directions by the circumference...
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Geometry and the Visual Arts

Daniel Pedoe - 1983 - 338 σελίδες
...lines falling upon it from one point lying within the figure are equal to one another. 16. And the point is called the centre of the circle. 17. A diameter of the circle is any straight line drawn through the centre and terminated in both directions by the circumference...
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The Poincaré Half-plane: A Gateway to Modern Geometry

Saul Stahl - 1993 - 320 σελίδες
...falling upon it from one point among those lying within the figure are equal to one another. 16. And the point is called the centre of the circle. 17. A diameter of the circle is any straight line drawn through the centre and terminated in both directions by the circumference...
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Space from Zeno to Einstein: Classic Readings with a Contemporary Commentary

Nick Huggett - 1999 - 292 σελίδες
...falling upon it from one point among those lying within the figure are equal to one another; 16. And the point is called the centre of the circle. 17. A diameter of the circle is any straight line drawn through the centre and terminated in both directions by the circumference...
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A Course in Modern Geometries

Judith Cederberg - 2004 - 472 σελίδες
...falling upon it from one point among those lying within the figure are equal to one another. 16. And the point is called the centre of the circle. 17. A diameter of the circle is any straight line drawn through the centre and terminated in both directions by the circumference...
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