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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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 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 ; (in. def. 2.) and that it touches it only in one point, because, if it did meet...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...than any rectilineal angle." 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 ; (m. def. 2) and that it touches it only in one point, because, if it did meet...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 350 pages
...and, conversely, the farther the chord is from the centre, the shorter it is. - PROP. XVI. THEOR. Tht straight line drawn at right angles to the diameter of a circle, from tht extremity of it, falls without the circle ; and no straight line can be drawn between that straight...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 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 ; [lII.Def. 2. and that it touches the circle at one point only, because if it did...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 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 ; (llI. def. 2.) and that it touches it only in one point, because, if it did meet...
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Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1871 - 264 pages
...opposite sides of parallelograms are equal to one another. 2. When does a straight line touch a circle ? The straight line drawn at right angles to the diameter of a circle from the extremity of it, touches the circle. 3. If two triangles have one angle of the one equal to one angle of the other,...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...the figure touches the circle. And the circle is said to be inscribed in the figure. PROPOSITION XVI. THEOREM. The 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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Elements of geometry, containing the first two (third and fourth ..., Part 2

Euclides - 1872 - 102 pages
...the figure touches the circle; and the circle is said to be inscribed in the figure. PROPOSITION XVI. THEOREM. The straight line drawn at right angles to the diameter of a circle, from tJie extremity qf it, is a tangent to the circle. Let ABC be a , of which the centre is O, and the...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 588 pages
...as not to cut the circle. COROLLARY. — Prom 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 ; and that it touches the circle at one point only, because if it met the circle...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...5). Therefore, the diameter, <fec. QED Proposition 16. — Theorem. The straight line drawn at riyht angles to the diameter of a circle, from the extremity of it, falls without the circle; and a straight line, making an acute angle with the diameter at its extremity, cuts the circle. Let ABC...
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