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" From this it is manifest that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it, touches the circle... "
A companion to Euclid: being a help to the understanding and remembering of ... - Page 61
by Euclides - 1837 - 88 pages
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The Cambridge Examiner, Volume 3

Education, Higher - 1883 - 536 pages
...the aforesaid part. 10. Trisect (i) a right angle, (ii) a given straight line. 11. The straight lines drawn at right angles to the diameter of a circle...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. 12....
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1882 - 286 pages
...similar proof, EH may be shown less than EK; that is, BC is nearer the centre than FG. Proposition 14. Theorem. — The straight line drawn at right angles...extremity of it, falls without the, circle; and no other straight line can be drawn from the extremity of the diameter which does not cut the circle....
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The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882 - 418 pages
...students are advised 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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883 - 376 pages
...touches the circle. And the circle is said to be inscribed in the figure. PROPOSITION XVI. THEOREM. Tlie straight line drawn at right angles to the diameter of a circle, from the extremity of it, is a tangent to the circle. Let ABC be a ©, of which the centre is O, and the diameter A OB. Through...
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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
...Wherefore, the straight line &c. QBB COROLLARY. From this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it, touches the circle ; [ill. Def. 2. and that it touches the circle at one point only, because if it...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884 - 148 pages
...rectangle contained by 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...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 - Mathematics - 1889 - 356 pages
...rectangle contained by 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...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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Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - Education - 1889 - 1004 pages
...will omit the 1st 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
...called a tangent to the circle. A straight line which cuts a circle is called a secant. PROPOSITION 16. THEOREM. The straight line drawn at right angles to...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. (1)...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...shall b« equal to 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...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....
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