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" Ir 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 points in the circumference ; the straight line drawn from A to B shall fall within the... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 67
af Euclid - 1810 - 518 sider
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - 1765 - 492 sider
...it fall in the circumference. Confequently it muft neceflarily fall within the circle. If therefore any two points be taken in the circumference of a circle, the right line which joins them will fall within the circle. Which was ta be demonftrated.. * This theorem...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 sider
...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 sider
...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 - 1789 - 296 sider
...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 - 1795 - 462 sider
...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 - 1804 - 530 sider
...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 - 1804 - 468 sider
...circumference of a circle, the ftraight line which joins them fhall fall within the circle. Let Book III. Let ABC be a circle, and A, B any two points in tike cjiL - cumference ; the ftraight line drawn Q from A to B fhall fall within the circle. Take any...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 sider
...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 any two points in the circumference...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Bind 5

John Mason Good - 1813 - 714 sider
...contain equal angles. Prop. I. Prob. To find the centre of a given circle. Prop. II. Theor. If any tiro points be taken in the circumference of a circle,...line which joins them shall fall within the circle. Prop. III. Theor. If a straight Hue drawn through the еешге of a circle bisect a straight line...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 sider
...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...the circumference; the straight line drawn from A to Bshallfallivithin the circle. For, if it do not let it fall, if possible, without, as AEB: find" D...
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