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" The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle... "
Elements of Geometry, Containing the First Six Books of Euclid - Page 74
by Euclid - 1826 - 180 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...therefore the straight line AG cuts the circle. COR. 1. From this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle from ths extremity of it, touches the circle ; and that it touches it only in one point ; because, if it...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1844 - 338 pages
...line AG cuts the circle. from D draw DH at COR. 1. From this it is manifest, that the j> { straight line which is drawn at right angles to the diameter of a circle from tha extremity of it, touches the circle; and that it touches it only in one point; because, if it did...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...line EH less than EK. Wherefore the diameter, &c. QED PROPOSITION XVI. THEOU. — 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 line and the circumference...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...than F G. (in. def. 5.) Wherefore the diameter, &c. QED PROPOSITION XVI. THEOREM. 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 from the extremity between that straight...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...CD bisects AB, in pt. F. Wherefore, if a str. line, &c. PROP. LI. THEOR. 16. 3 Eu. A 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 from the extremity between that straight...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...the line EH than the line EK. Wherefore, The diameter %c. QED PROP. XVI. THEOR. The^trair/ht 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 drawti from the extremity, between that straight...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...CD bisects AB, in pt. F. Wherefore, if a str. line, &c. PROP. LI. THEOR. 16 . 3Eo . A 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 from the extremity between that straight...
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Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volume 2

Great Britain. Committee on Education - 1848 - 606 pages
...convenient way of finding the centre of a circle traced out on a plane surface. 2. 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 from the extremity, between that straight...
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 pages
...convenient way of finding the centre of a circle traced out on a plane surface. 2. 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 from the extremity, between that straight...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...remote : and the greater is nearer to the centre than the less. PROP. XVI. THEOREM 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 from the extremity between that straight...
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