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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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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...than the straight line EK. Wherefore, the diameter &c. QED 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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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...the whole and one of the parts shall be equal to the square on the other part. 6. 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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Practical geometry for art students

John Carroll (art master.) - Geometry - 1881 - 100 pages
...construct a regular hexagon, given the diagonal N 0. LESSON XII.— TANGENTS TO CIRCLES. " The straight line which is drawn at right angles to the diameter of a circle from its extremity is a tangent." — Euclid iii. 16, Cvrollary. Problem 67. — To draw a tangent to a...
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The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882 - 418 pages
...not to confine themselves to one paper, but to make use of the whole set. (a) 1. The straight line drawn at right angles to the diameter of a circle, from the extremity of it, is a tangent to the circle. Two equal circles cut one another at the points AB ; BC is a chord equal...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...than the straight line EK. Wherefore, the diameter &c. QED 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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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884 - 148 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...
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Questions and exercises in elementary mathematics

Palaestra Oxoniensis - 1884 - 204 pages
...at 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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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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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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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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