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" THE straight line drawn at right angles to the diameter of a circle, from the extremity of... "
Books 3-9 - Page 37
by Euclid - 1908
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...the center is greater than any one more remote. Which was to be demonftrated. PROP. XVI. The Jlraight line drawn at right angles to the diameter of a circle, from the extremity, will fall without the circle ; and into the place between the ftraight line and the...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...the flraight line EH lefs than EK. Wherefore, the diameter, &c. (^ED PROP. XVI. THE OR. THE ftraight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle ; and no ftraight line can be drawn between that ftraight...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...the straight line EH is less than EK. Wherefore, the diameter, &c. QED PROP. XVI. THEOR. Book III. THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle ; and no straight line can be drawn between that straight...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...greater thin one more remote; and the greater is nearer to the centre than the less, * Prop. XVI. Theor. The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle; and no straight line can be drawn between that straight...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...square of EK, and the straight line EH less than EK. Wherefore the diameter, &c. QED PROP. XVI. THEOR. THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle; and no straight line can be drawn between that straight...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...of EK, and the straight line EH less than EK. Wherefore, the diameter, &c. Q, ED PROP. XVI. THEOR. The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle ; and no straight line can be drati•n between that...
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Artis logicę rudimenta, with illustrative observations [and a transl. By J ...

Henry Aldrich - 1821 - 300 pages
...angles : if this be the case, two angles of a triangle are equal to two right angles : Therefore, if a straight line drawn at right angles to the diameter of a circle at its extremity does not fall without the circle, it occasions the existence of a triangle containing...
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Mechanics' Magazine and Journal of Science, Arts, and Manufactures, Volume 4

Industrial arts - 1825 - 484 pages
...Euclid to refer to, I will quote his IGth Proposition, Book in., which bears directly on this point. " The straight line drawn at right angles to the diameter of a circle from the extremity of it foils without the circle; and no straight line can lie drawn between that straight...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...and the straight line EH less than EK. Wherefore the diameter, fee. QED Proposition. XVI. Tlieorem. The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle, and no straight line can be drawn between that straight...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...Wherefore in a circle, Scc. QED PROPOSITION XVI. THEOREM. (Extracted from Dr. Simson's Edition.) The right line drawn at right angles to the diameter of a circle from the extremity of it falls without the circle ; and no right line can be drawn between that right line...
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