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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. "
Calendar, for the Year ... - Page xxxiii
1895
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...THEOR. 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 cuts it at right angles, it shall bisect it. . Let ABC be a circle ; and let CD, a straight line...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...If a straight Hue drawn through the еешге 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 cuts it alright angles, it shall bisect it. Prop. IV. Theor. If in a circle two straight lines...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...THEOR. 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 cuts it at right angles, it shall bisect it. Let ABC be a circle; and let CD, a straight line...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...Theorem. 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. Let ABC be a circle, and let CD, a straight line...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...THEOR. 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. Let ABC be a circle; and let CD, a straight line...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...III. TUEOR. — If a straight line drawn through the centre of a circle, bisect a straight line in it which docs 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...
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...THEOR. 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 cuts it at right angles, it shall bisect it. Let ABC be a circle ; and let CD, a straight line...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - Euclid's Elements - 1837 - 112 pages
...Theorem. 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 cuts it at right angles, it shall bisect it. Part 1st is proved (from viii. 1.) by showing that...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...FEA is a 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 right angles ; wherefore FEB is a right angle ; and FEA was shown to be a right angle ; therefore FEA is equal to...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...THEOR. 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, \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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