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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; and no straight line can be drawn from the extremity between that straight line and the circumference, so as not to cut the circle... "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Seite 73
von Robert Simson - 1762 - 466 Seiten
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The Cambridge Examiner, Band 1

1881
...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 line and the circumference so as...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 426 Seiten
...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 line and the circumference, »o...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...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, then any...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 354 Seiten
...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, then any one...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 Seiten
...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 line and the circumference so as...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1897
...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 line and the circumference, so...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901 - 368 Seiten
...that the angle ACB is obtuse. 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 ; and that no straight line can be drawn from the extremity, between that straight line and the circumference,...
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Annual Report of the Association of Ontario Land Surveyors, Band 17

Association of Ontario Land Surveyors - 1909
...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 line and the circumference, so...
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The Scientific Letters and Papers of James Clerk Maxwell: Volume 1, 1846-1862

James Clerk Maxwell - 1990 - 776 Seiten
...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 from the extremity so as...
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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1897 - 708 Seiten
...the line between the points of section. 3. 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 line and the circumference, so...
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