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" From this it is manifest that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it, touches the circle... "
A companion to Euclid: being a help to the understanding and remembering of ... - Pagina 61
door Euclides - 1837 - 88 pagina’s
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901 - 368 pagina’s
...other sides BC, CD, DA by twice the rectangle CD, DA, show that the angle ACB is obtuse. 6. Prove that the straight line drawn at right angles to the diameter...the extremity of it, falls without the circle ; and that no straight line can be drawn from the extremity, between that straight line and the circumference,...
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XX Century Cyclopaedia and Atlas: Biography, History, Art, Science ..., Volume 8

Ainsworth Rand Spofford, Charles Annandale - 1901 - 578 pagina’s
...which touches or meets a circle or curve in one point, and which being produced does not cut it; a straight line drawn at right angles to the diameter of a circle, from the extremity of it, as n A in figure, which being continued at A, would merely touch and not cut the circle. In trigonometry...
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Books 3-9

Euclid - 1908 - 456 pagina’s
...contained by the circumference CHA and the straight line AE. — PORISM. From this it is manifest that the straight line drawn at right angles to the diameter of a circle from its extremity touches the circle. 3 QED 4. cannot be interposed, literally "will not fall in between"...
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Annual Report of the Association of Ontario Land Surveyors, Volume 17

Association of Ontario Land Surveyors - 1909 - 254 pagina’s
...right angle ; and the angle in a segment less than a semi-circle is greater than a right angle. 7. The straight line drawn at right angles to the diameter...without the circle ; and no straight line can be drawn from the extremity, between that straight line and the circumference, so as not to cut the circle....
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Appleton's New Practical Cyclopedia: A New Work of Reference Based ..., Volume 6

Marcus Benjamin, Arthur Elmore Bostwick, Gerald Van Casteel, George Jotham Hagar - 1910 - 610 pagina’s
...circle or curve in one point, TANGlER TANSY and which being produced does not cut it; a straight lino drawn at right angles to the diameter of a circle, from the extremity of it, as HA in figure, which, being continued at A, would merely touch and not cut the circle. In trigonometry...
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The Teaching of Geometry

David Eugene Smith - 1911 - 360 pagina’s
...to the circle. The enunciation of this proposition by Euclid is very interesting. It is as follows : The straight line drawn at right angles to the diameter of a circle at its extremity will fall outside the circle, and into the space between the straight line and the...
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Winston's Cumulative ... Encyclopedia: A Comprehensive Reference Book, Volume 10

1918 - 582 pagina’s
...which touches or meets a circle or curve in one point, and which being produced does not cut it ; a straight line drawn at right angles to the diameter of a circle, from the extremity of it, as HA in figure, which being continued at A, would merely touch and not cut the circle. In trigonometry...
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Winston's Cumulative Loose-leaf Encyclopedia: A Comprehensive ..., Volume 10

Thomas Edward Finegan - 1922 - 500 pagina’s
...which touches or meets a circle or curve in one point, and which being produced does not cut it ; a straight line drawn at right angles to the diameter of a circle, from the extremity of it, as HA in figure, which being continued at A, would merely touch and not cut the circle. In trigonometry...
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Manual of Public Examinations for the Year ...

University of Queensland - 1927 - 288 pagina’s
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Euclid's Elements, Boeken 1-6;Boek 11

Euclid - 1933 - 328 pagina’s
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