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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... "
Euclid's Elements of geometry, books i. ii. iii. iv - Seite 88
von Euclides - 1862
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 Seiten
...than the straight line EK. Wherefore, 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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 Seiten
...angle. [Axiom, 1. And EB is drawn from the centre ; but the straight line drawn at right angles to a diameter of a circle, from the extremity of it, touches the circle; [III. 16, Corollarytherefore AB touches the circle. And AB is drawn from the given point AQEF But if the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 Seiten
...than FG. (llI. def. 6.) Wherefore the 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...
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Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1871
...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, and the sides about...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 Seiten
...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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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...than the square on KE ; and therefore EH 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...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...than FG (III. Def. 5). Wherefore 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...
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Pure mathematics, Band 1

Edward Atkins - 1874
...5). Therefore, the diameter, &c. QED, Proposition 16.— Theorem. Tlie straight line drawn at rvjltt angles to the diameter of a circle, from the extremity of it, falls ivithout the circle; and a straight line, making an acute anyle with the diameter at it» extremity,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 Seiten
...than FG. (lli. def. 5.) Wherefore the 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...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 Seiten
...(Ax. 1). And EB is drawn from the centre (Const.) But the straight line drawn at right angles to a diameter of a circle, from the extremity of it, touches the circle (III. 16, cor.); ... AB Therefore AB touches the circle, and it is drawn from the touches „• ovl ti^inf...
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