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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 - Seite 88
von Euclides - 1862
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Annual Report of the Schools of New Brunswick

New Brunswick. Board of Education - 1889
...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 - 1889
...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 - 515 Seiten
...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 - 1897
...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 ..., Band 8

1901
...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, Band 31

Institution of Civil Engineers of Ireland - 1906
...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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Winston's Cumulative ... Encyclopedia: A Comprehensive Reference Book, Band 10

1918
...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 ..., Band 10

Thomas Edward Finegan - 1922
...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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The Scientific Letters and Papers of James Clerk Maxwell: Volume 1, 1846-1862

James Clerk Maxwell - 1990 - 776 Seiten
...See Figs. [3,24, 3,25]. (16) Book III, Prop. XVI of Euclid's Elements: (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 between that straight line and the circumference...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Bände 15-16

1870
...parallelograms are equal to one another. 2. When does a straight line touch a circle ? The straight line drawn at right angles to the diameter of a circle from the extremity of it, touches the circle. 3. If two triangles have one angle of the one equal to one angle of the other, and the sides about...
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