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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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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...contained by the whole and that part, together with the square on the other part. 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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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 266 Seiten
...less than EK; that is, BO is nearer the centre than FG. Proposition 14. 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 it and the circumference from the...
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Examination Papers: Moderations

University of Oxford - 1879
...contact. 3. In a given circle, inscribe a triangle equiangular to a given triangle. 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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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 Seiten
...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, Band 1

1881
...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.) - 1881
...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, Ausgaben 1-5

Mary W I. Shilleto - 1882
...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 - 1883 - 400 Seiten
...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
...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
...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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