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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. "
The Elements of Euclid: With Dissertations Intended to Assist and Encourage ... - Page 68
by Euclid, James Williamson - 1781 - 309 pages
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The Elements of Euclid: Explain'd in a New, But Most Easie Method: Together ...

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...
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The Elements of Euclid,: In which the Propositions are Demonstrated in a New ...

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,...
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The Elements of Euclid: In which the Propositions are Demonstrated in a New ...

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,...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

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,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

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...
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Elements of Arithmetic, Algebra, and Geometry

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...
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Elements of Geometry, Containing the First Six Books of Euclid

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...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

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...
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