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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; and that it touches it only in one point, because, if it did meet the circle in two, it would fall... "
Practical geometry for art students - Page 35
by John Carroll (art master.) - 1881
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...must pass between that 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,...
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The Edinburgh university calendar

Edinburgh univ - 1871 - 392 pages
...which one or more of the squares is inverted. 5. Prove, as Euclid does, that if a straight line be at right angles to the diameter of a circle from its extremity, it touches the circle. Prove also that if the tangent be defined as the limit of the secant it will...
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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
...AE and the circumference, so 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...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...cuts the circle. Therefore, 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...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...must pass between that 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,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...must pass between that 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,...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...cuts tho circle. Therefore, 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...
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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
...cut the circle. FE / 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...
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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
...which is impossible. FE 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...
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Questions and exercises in elementary mathematics

Palaestra Oxoniensis - 1884 - 204 pages
...bisects another at right angles, the centre of the circle is in the line which bisects the other. (2) The straight line which is drawn at right angles to the diameter of a circle at its extremity touches the circle. (3) A straight line, which touches a circle, touches it only in...
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