 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...Therefore it falls within the circle. "Wherefore, if any two points &c. QED PROPOSITION 3. THEOREM. If a straight line drawn through the centre of a circle,...the centre, it shall cut it at right angles ; and if it cut it at right angles it shall bisect it. Let ABC be a circle ; and let CD, a straight line... | |
 | Robert Potts - 1868 - 434 pages
...Wherefore, if any two points, &c. QED PROPOSITION III. THEOREM. If a straight line drawn through the center of a circle bisect a straight line in it which does not pass through the center, it shall cut it at rig/A anyles : and conversely, if it cut it at right angles, it shall bisect... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...be shewn of any other pt. in AB. .'. AB lies entirely within the © . QED PROPOSITION III. THEOREM. If a straight line, drawn through the centre of a circle, bisect a chord of the circle, which docs not pass through the centre, it must cut it at right angles : and conversely,... | |
 | Euclides - 1872 - 102 pages
....'. D lies within the 0. And the same may be shewn of any other pt. in AB. PROPOSITION III. THEOREM. If a straight line, drawn through the centre of a circle, bisect a chord of the circle, which does not pass through the centre, it must cut it at right angles: and conversely,... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...be shewn that it does not fall on the circumference. Therefore it falls within the circle. III. — If a straight line drawn through the centre of a circle...line in it which does not pass through the centre, it cuts it at right angles ; and if it cut it at right angles it bisects it. Let CD drawn through the... | |
 | Edward Atkins - 1874 - 428 pages
...straight line AB lies within the circle. Therefore, if any two points, &c. QED Proposition 3.— Theorem. If a straight line drawn through the centre of a circle...shall cut it at right angles ; and conversely, if it cut it at right angles, it shall bisect it. Let ABC be a circle, and let CD, a straight line drawn... | |
 | Euclides - 1874 - 342 pages
...therefore 7. AB falls within the circle. Wherefore, if any two points, &c. QED PROPOSITION 3.— Theorem. If a straight line drawn through the centre of a circle...shall cut it at right angles; and conversely, if it cut it at right angles, it shall bisect it. Let ABC be a circle ; and let CD, a straight line drawn... | |
 | Braithwaite Arnett - 1874 - 130 pages
...straight line AB to be 12 feet, and the two parts AD and DB to be 9 feet and 3 feet respectively. 2. If a straight line drawn through the centre of a circle...through the centre, it shall cut it at right angles. A point is taken within a circle and from that point two equal straight lines are drawn to the circumference.... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...Wherefore, if any two points, &c. QED PROPOSITION III. THEOREM. If a straight line drawn through the center of a circle bisect a straight line in it which does not pass through the center, it shall cut it at right angles : and conversely, if it cut it at right angles, it shall bisect... | |
 | Edward Atkins - 1876 - 130 pages
...line AB lies within the circle. Therefore, if any two points, <tc. Q.-KD Proposition 3.— Theorem. If a straight line drawn through the centre of a circle bisect a straight Jine in it which does not pass through the centre, it shall cut it at right angles; and conversely,... | |
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If a straight line drawn through the centre of a circle bisect a straight line in it which does not pass through the centre, it shall cut it at right angles : and if it cut it at right angles, it shall bisect it. 
