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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... "
Euclid's Elements of geometry, books i. ii. iii. iv - Page 88
by Euclides - 1862
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Questions and exercises in elementary mathematics

Palaestra Oxoniensis - 1884 - 204 pages
...right angles, the centre of the circle is in the line which bisects the other. (2) The straight line which is drawn at right angles to the diameter of a circle at its extremity touches the circle. (3) A straight line, which touches a circle, touches it only in...
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Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - Education - 1889 - 1004 pages
...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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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...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 of a circle from the extremity of it falls without the circle. If the centre of a circle be joined to the vertices of a circumscribing quadrilateral,...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...A straight line which cuts a circle is called a secant. PROPOSITION 16. 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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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...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 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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XX Century Cyclopaedia and Atlas: Biography, History, Art, Science ..., Volume 8

Ainsworth Rand Spofford, Charles Annandale - Encyclopedias and dictionaries - 1901 - 578 pages
...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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Transactions, Volume 31

Institution of Civil Engineers of Ireland - Civil engineering - 1906 - 336 pages
...contained by the lines themselves, the lengths of the lines are as \/5 + 1:2. 3. The straight line which is drawn at right angles to the diameter of a circle at its extremity touches the circle. If from a point O, equidistant from two parallel straight lines,...
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Annual Report of the Association of Ontario Land Surveyors, Volume 17

Association of Ontario Land Surveyors - Surveying - 1909 - 254 pages
...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 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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Winston's Cumulative ... Encyclopedia: A Comprehensive Reference Book, Volume 10

Encyclopedias and dictionaries - 1918 - 582 pages
...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 - Encyclopedias and dictionaries - 1922 - 500 pages
...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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