 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.  Examination Papers for Science Schools and Classes - Page 22by Great Britain. Education Department. Department of Science and Art - 1882Full view - About this book
 | Euclid - 1835 - 540 pages
...circumference : it falls therefore within it. Wherefore, " if any two points" &c. QED PROP. III. THEOR. If a straight line drawn through the centre of a circle bisect a straight line in the circle, which does not pass through the centre, it •will cut that line at right angles ; and... | |
 | Robert Simson - Trigonometry - 1835 - 544 pages
...circumference : it falls therefore within it. Wherefore, " if any two points," Sic. QED PROP. III. THEOR. If a straight line drawn through the centre of a circle bisect a straight line in the circle* ichich does not pass through the centre, it will cut that line at right angles ; and if... | |
 | John Playfair - Geometry - 1836 - 148 pages
...AB. Therefore the circumference is beyond AB, or AB is wholly within the circle. QED PROP. V. THEOR. If a straight line drawn through the centre of a circle,...centre, it shall cut it at right angles; and if it cuts it at right angles, it shall bisect it. Let ABC be a circle ; and let CD, a straight line drawn... | |
 | Mathematics - 1836 - 488 pages
...bisect a straight line in the circle, which does not pass through the center, it will cut that line at right angles ; and if it cut it at right angles, it will bisect it. IV. If in a circle two straight lines cut one another, which do not pass through the... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...similarly AB does not fall upon the 0 ; and .'. that it falls within it. PROPOSITION III. Theorem. If a straight line drawn through the centre of a circle...centre, it shall cut it at right angles ; and if it cuts it at right angles, it shall bisect it. Part 1st is proved (from viii. 1.) by showing that (in... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...between A and B; therefore AB is within the circle. Wherefore the straight line, &c. PROP. III. THEOR. IF a straight line drawn through the centre of a circle bisect a chord, which does not pass through the centre, it cuts it at right angles ; and (2.) if it cut it at... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...propositions, which appear to he axiomatic, except in the extreme case, as I. 20. PROPOSITION III. THEOREM. If a straight line drawn through the centre of a circle bisect a chord in it which does not pass through the centre, it shall cut it at right angles ; and if it cuts... | |
 | Euclides - 1838 - 264 pages
...circumference: therefore it falls within it. Wherefore, if any two points, &c. a. ED PROP. HI. THEOR. If a straight line drawn through the centre of a circle...straight line in it which does not pass through the centret it shall cut it at right angles : and if it cut it at right angles it shall bisect it. Let... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...D EF: and because FE, a straight line ! , / '; through the centre, bisects another AC A „_ / s^ I which does not pass through the centre, ' --'•<'' / it shall cut it at right (3. 3.) angles; '^ ..,-•''" V. ~~"~^'/ wherefore FEA is a right angle: again, u . ~-~- — --"x C... | |
 | Euclides - Geometry - 1841 - 378 pages
...circumference; therefore it falls within it. Wherefore, if any two points, &c. QED PROP. III. THEOR. If a straight line drawn through the centre of a circle...the centre, it shall cut it at right angles; and, \f it cut it at right angles, it shall bisect it. Let ABC be a circle; and let CD, a straight line... | |
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