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" THE straight line drawn at right angles to the diameter of a circle, from the extremity of... "
Books 3-9 - Side 37
av Euclid - 1908
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 sider
...nearer to the center than FG. (in. def. 5.) Wherefore the diameter, &c. QED PROPOSITION XVI. 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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 sider
...line EH is less 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,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 sider
...the center 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...
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Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1871 - 264 sider
...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...
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The Edinburgh university calendar

Edinburgh univ - 1871 - 392 sider
...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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 sider
...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...
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Elements of geometry, containing the first two (third and fourth ..., Del 2

Euclides - 1872 - 102 sider
...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 - 1873 - 588 sider
...on HE is less 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,...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 sider
...nearer to the centre 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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 sider
...nearer to the center 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...
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