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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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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 Seiten
...(Ax. 1). And EB is drawn from the centre (Const.) But the straight line drawn at right angles to a diameter of a circle, from the extremity of it, touches the circle (III. 16, cor.); ... AB Therefore AB touches the circle, and it is drawn from the touches „• ovl ti^inf...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 414 Seiten
...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 - 282 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 - 584 Seiten
...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 - 426 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 - 504 Seiten
...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 - 100 Seiten
...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 - 418 Seiten
...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 - 428 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 - 148 Seiten
...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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