| 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' the Centre... | |
| 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,... | |
| 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 any ftraight... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...bisect a straight line in the circle, which does not pass through the centre, it wilt cut that line **at right angles ; and if it cut it at right angles, it will,** bisect it. •Let ABC be a circle, and let CD, a straight line drawn through the centre, bisect uny... | |
| Rev. John Allen - Astronomy - 1822 - 516 pages
...and the triangle EAB is isosceles [Def. 29. 1] ; therefore if EF or CD bisect the base AB, it cuts **it at right angles, and, if it cut it at right angles, it** bisects it [Cor. 26. 1> PROP. IV. THEOR. Two right lines inscribed in a circle, cutting each other,... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...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. Let ABC be a circle, and let CD, a straight line drawn through the centre, bisect... | |
| George Lees - 1826 - 276 pages
...a circle, bisect a straight line AB in the circle, which does not pass through the centre, it will **cut it at right angles ; and if it cut it at right angles, it will** bisect it. Join EA and EB ; then, because EA is equal to EBC, and eCor- DefAF to FB' and FE common... | |
| Euclid - 1826 - 234 pages
...drawn through the centre bisect another right line which is not drawn through the centre, it will also **cut it at right angles, and if it cut it at right angles, it will** also bisect it. QED Deduction. If a right line drawn through the centre of a circle bisect any number... | |
| Euclides - 1826 - 226 pages
...drawn through the centre bisect another right line which is not drawn through the centre, it will also **cut it at right angles, and if it cut it at right angles, it will** also bisect it. QED equal, then each of the equal angles Deduction. If a right line drawn through the... | |
| |