 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, Claude-François Milliet Dechales - Euclid's Elements - 1726 - 378 pages
...If tbe Diameter divide a Line which does not pafe through the Centre into two equal Parts, it will cut it at right Angles ; and if it cut it at right Angles, it will divide it into two equal Parts. IF the Diameter AC cut the Line BD, which does not pafs thro'... | |
 | Euclid - Geometry - 1776 - 318 pages
...centre, cutting •*• another line not drawn through the centre, into two equal farts, it Jljall cut it at right angles ; and if it cut it at right angles, it foall cut it into two equal parts* Let ABC be the given circle, CD the line paffing through the centre,... | |
 | Euclid - Geometry - 1776 - 326 pages
...the centre, cutting *• another line not drawn through the centre, into two equal partst it Jba.ll cut it at right angles ; and if it cut it at right angles, itjbatt cut it into two equal parts. Let ABC be the given circle, CD the line paffing through the centre,... | |
 | Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...ftraight line through the center cut in halves any ftraight line not through the center ; it will alfo cut it at right angles ; and if it cut it at right angles it will alfo. cut it in halves. Which was to be demonftrated. PROP. IV. Bookiir. If in a circle two ftraight... | |
 | John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...bilect a ftraight line in the circle, which does not pafs through the centre, it will cut that line at right angles ; and, if it cut it at right angles, it will hi fect it. Let ABC be a circle, and let CD, a ftraight line drawn through the centre, bifeft... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...within the circle. Wherefore, if any two points, &c. QED a 1.3. b5. c 16. 1. A 19. 1. 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 if... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...B ^""~- *^x" C b 3. ; right angle: again, because the straight line FE bisects the straight line BD which does not pass through the centre, it shall cut it at rightb angles : wherefore FEB is a right angle : and FEA was shown to be a right angle ; therefore... | |
 | John Mason Good - 1813 - 714 pages
...them shall fall within the circle. Prop. III. Theor. If a straight Hue drawn through the еешге of a circle bisect a straight line in it which does...centre, it shall cut it at right angles; and, if it cuts it alright angles, it shall bisect it. Prop. IV. Theor. If in a circle two straight lines cut... | |
 | Euclides - 1816 - 588 pages
...of the circle, and join EF; and because FE, a straight line through the centre, bisects another AC which does not pass through the centre, it shall cut it at right b angles ; where- * 3. 3. fore FEA is a right angle : Again, because the straight line FE bisects the... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...therefore AB is within the circle. Wherefore, if any two points, &,c. Q,. ED PROP. III. THEOR. ^fa straight line drawn through the centre of a circle bisect a straight line in the circle, which does not pass through the centre, it wilt cut that line at right angles ; and if... | |
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