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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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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...the straight line, &c. QED 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 (III. Def. 2) ; and that it touches it only in one point, because if it did meet...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...straight line and the perpendicular AE. QED Cor. 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 (III. Def. 2) ; and that it touches it only in one point, because, if it did meet...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...straight line and the perpendicular AE. QEp COR. 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 ; (in. def. 2.) and that it touches it only in one point, because, if it did meet...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...the straight line, <tc. QED 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 (III. Def. 2) ; and that it touches it only in one point, because if it did meet...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879 - 414 pages
...the rectangle 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...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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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...may be shown 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...circle; and no straight line can be drawn between it and the circumference from the extremity of the diameter which does not cut the circle. Let ABC...
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Examination Papers: Moderations

University of Oxford - Education, Higher - 1879 - 584 pages
...the point of 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...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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879 - 376 pages
...said to be described about a circle, when each side of the figure touches the circle. PROPOSITION XVI. THEOREM. The straight line drawn at right angles to the diameter of a drde,from the extremity of it, is a tangent to the circle. Let ABC be a , of which the centre is...
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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
...Wherefore, the straight line &c. QED 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 ; [III. Def.2. and that it touches the circle at one point only, because if it did...
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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...rectangle contained by 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...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. 7....
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