| Euclid - Geometry - 1765 - 464 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 - 520 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 - 520 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 - 272 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... | |
| John Playfair - Euclid's Elements - 1795 - 400 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... | |
| Robert Simson - Trigonometry - 1804
...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... | |
| John Playfair - Euclid's Elements - 1804 - 440 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... | |
| John Playfair - Euclid's Elements - 1806 - 311 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... | |
| John Mason Good, Olinthus Gilbert Gregory - 1813
...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... | |
| Euclides - Euclid's Elements - 1816 - 528 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...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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