| Robert Simson - Trigonometry - 1762 - 488 pages
...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... | |
| Euclid - Geometry - 1765 - 492 pages
...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... | |
| Robert Simson - Trigonometry - 1775 - 534 pages
...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... | |
| 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... | |
| 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... | |
| 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... | |
| John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...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... | |
| 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... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...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...in the circumference ; the straight line drawn from C A to B shall fall within the circle. For, if it do not, let it fall, if possible, without, as AEB... | |
| John Playfair - Mathematics - 1806 - 320 pages
...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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