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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. "
The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ... - Page 116
by Euclides - 1821
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...at right angles, the center of the circle is in the line which bifects the other. PRO P. II. THEO R. IF any two points be taken in the circumference of a circle, the ftraight line which joins them fhall fall within the circle. Let ABC be a circle, and A, B any two...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - Geometry - 1765 - 492 pages
...becaufe it depends upon the xxivth propofition of this book. , PROP. II. THE OR. If any two points he taken in the circumference of a circle, the right line which joins thtm will fall within the circle c. Let ABC be a circle, in whofe circumference let any two points...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...at right angles, the center of the circle is in the line which bifects the other. PROP. H. THEO R. IF any two points be taken in the circumference of a circle, the ftraight line which joins them mall fall within the circle. Let ABC be a circle, and A, B any two points...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...right angles, the centre of the circle is in the line which bife&s the other. PROP* II. T II EO R. IF any two points be taken in the circumference of a circle, the ftraight line which joins them fhall fall within the circle. Let ABC be a circle, and A, B any two...
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - Euclid's Elements - 1789 - 296 pages
...point, perpendicular to the chord, •will pafs through the centre of the circle. PROP. II. THEOREM. If any two points be taken in the circumference of a circle, the chord, or right line which joins them, will fall wholly within the circle. Let ABE be a circle, and...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...right angles, the centre of the circle is m the line which bifefts the other. I PRO P. II. THEO R. . F any two points be taken in the circumference of a circle, the ftraight line which joins them 1 1 ^Vwi 1---.-.!4-1"^."«i-.n^. ]^^1A ..*' * • • ftiall fall within...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...right angles, the center of the circle is in the line which bifects the other. PROP. II. f THEO R. IF any two points be taken in the circumference of a circle, the ftraight line which joins them fhall 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 ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...centre of the circle is in the line which bifefts the other. c 8. i. <J 7. def. 2. PRO P. II. THEO R. IF any two points be taken in the circumference of a circle, the ftraight line which joins them fhall fall within the circle. Let Book III. Let ABC be a circle, and...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...right angles, the centre of the circle is in the line which bisects the other. c8. d7.Def. I. PROP. H. THEOR. IF any two points be taken in the circumference of a circle, the straight line which joins them will fall within the circle. Book HI. Let ABC be a circle, and A, B...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...angles, the centre of the circle is in the line which bisects the other. c8. d 10. def. 1. 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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