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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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 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, to...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 Seiten
...diameter, &c. QEI). PROPOSITION XVI. THEOREM. Tht straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle ; andno straight line can be drawn from the extremity between that straight line and the circumference,...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...is less than the straight line EK. XVI. — 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 Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 Seiten
...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, so...
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Pure mathematics, Band 1

Edward Atkins - 1874 - 426 Seiten
...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 Seiten
...diameter, &c. QED PROPOSITION XVL 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 ciroumference, so...
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Examination Papers: Moderations

University of Oxford - 1879
...triangle equiangular to a given triangle. 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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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...together with the square on the other part. 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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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 Seiten
...centre than FG. Proposition 14. 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 it and the circumference from the extremity of the diameter which...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 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, 10...
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