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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... "
A collection of elementary test questions in pure and mixed mathematics ... - Pàgina 218
per James Robert Christie - 1866 - 404 pàgines
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 356 pàgines
...rectangle contained by the unequal parts is three-fourths of the square on half the line. 6. Prove that the straight line drawn at right angles to the diameter...from the extremity of it falls without the circle. If the centre of a circle be joined to the vertices of a circumscribing quadrilateral, then any one...
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Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - 1889 - 1004 pàgines
...will omit the 1st and 3rd of the foregoing question», and work tie following Instead : n. Prove that the straight line drawn at right angles to the diameter of a circle, from the extremity of it, is a tangent to the circle. It. In a given circle inscribe a triangle, equiangular to a given triangle....
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pàgines
...tangent to the circle. A straight line which cuts a circle is called a secant. PROPOSITION 16. THEOREM. 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. (1)...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1897 - 446 pàgines
...shall b« equal to a given rectilineal figure. 8 3. To describe a square about a given circle. 9 4. 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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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901 - 368 pàgines
...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 ..., Volum 8

Ainsworth Rand Spofford, Charles Annandale - 1901 - 578 pàgines
...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 pàgines
...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, Volum 17

Association of Ontario Land Surveyors - 1909 - 254 pàgines
...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 ..., Volum 6

Marcus Benjamin, Arthur Elmore Bostwick, Gerald Van Casteel, George Jotham Hagar - 1910 - 610 pàgines
...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 pàgines
...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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