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" If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. "
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books - Page 110
by Euclid, Edmund Stone - 1765 - 464 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 317 pages
...right angles, the centre of the circle is in the line which bisects the other. PROP. II. THEOR. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. Let ABC be a circle, and A, B any two...
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Algebra applied to geometry ... By X. Y. Z.

X. Y. Z. - Equations - 1843 - 96 pages
...which does not pass through the centre, it shall cut it at right angles. (Euclid 3, 3.) - - 88 4*. If any two Points be taken in the Circumference of a Circle the Straight Line which joins them shall fall within the Circle. (Euclid 3, 2.) - - - - .89 5*. In a Circle...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 199 pages
...angles, the centre of the circle is in the line which bisects the other. PROPOSITION II. THEOR. — If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. Let ABC be a circle, and A, B any two...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...angles, the centre of the circle is in the line which bisects the other. PROPOSITION II. THEOREM. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. Let ABC be a circle, and A, B any two...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...right angles, the centre of the circle is in the line which bisects the other. PHOP. II. THEOR. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. Let ABC be a circle, and A, B any two...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 317 pages
...right angles, the centre of the circle is in the line which bisects the other. PROP. II. THEOR. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. Let ABC be a circle, and A, B any two...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...right angles, the centre of the circle is in the line which bisects the other. PROP. II. THEOREM. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. PROP. III. THEOREM. If a straight line...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 108 pages
...right angles, the centre of the circle is in the line which bisects the other. PROP. II. THEOR. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. Let ABC be a circle, and A, B any two...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853
...angles, the centre of the circle is in the line which bisects the other. PROPOSITION II. THEOR. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. Let ABC be a circle, and A, B any two...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...angles, the centre of the circle is in the line which bisects the other. PROP. II. — THEOREM. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. Let ABC be a circle, and A, B, any two...
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