 | 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... | |
 | 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
...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... | |
 | Euclid - 1781 - 552 pages
..... Which was to be found. CoR. From this it is manifeft, that if in a circle a ftraight Vme bife£k another at 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,... | |
 | Euclid - Euclid's Elements - 1789 - 296 pages
...drawn through that 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... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...: Which was to be found. COR. From this it is manifeft, that if in a circle a ftraight line bifeft another at right angles, the centre of the circle is in the line which bife£ls the other. PROP. II. THEOR. IF any two points be taken in the circumference of See N. a circle,... | |
 | John Bonnycastle - Euclid's Elements - 1803 - 470 pages
...drawn through that point, perpendicular to the chord, pafs through the centre of the circle. PROP.' IL_ '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 - Circle-squaring - 1804 - 468 pages
...: Which was to be found. CoR. From this it is manifeft that if in a circle a ftraight line bifecl: another at right angles, the 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... | |
 | 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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From this it is manifest, that if in a circle a straight line bisect another at right angles, the centre of the circle is in the line which bisects the other. 
