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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...
Elements of Geometry: Containing the First Six Books of Euclid: With a ... - Side 77
av John Playfair - 1819 - 317 sider
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## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883
...touches the circle. And the circle is said to be inscribed in the figure. PROPOSITION XVI. THEOREM. Tlie 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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 sider
...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 only, because if it...
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## Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

...rectangle contained by the unequal parts is three-fourths of the square on half the line. 6. Prove that the straight line drawn at right angles to the diameter...from the extremity of it falls without the circle. '# If the centre of a circle be joined to the vertices of a circumscribing quadrilateral, then any...
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## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889
...rectangle contained by the unequal parts is three-fourths of the square on half the line. 6. Prove that the straight line drawn at right angles to the diameter...from the extremity of it falls without the circle. If the centre of a circle be joined to the vertices of a circumscribing quadrilateral, then any one...
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## Annual Report of the Schools of New Brunswick

...will omit the 1st and 3rd of the foregoing question», and work tie following Instead : n. Prove that the straight line drawn at right angles to the diameter of a circle, from the extremity of it, is a tangent to the circle. It. In a given circle inscribe a triangle, equiangular to a given triangle....
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## The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 sider
...tangent to the circle. A straight line which cuts a circle is called a secant. PROPOSITION 16. THEOREM. The straight line drawn at right angles to the diameter...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. (1)...
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## Report of the Secretary for Public Instruction ...

...shall b« equal to a given rectilineal figure. 8 3. To describe a square about a given circle. 9 4. The straight line drawn at right angles to the diameter...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....
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## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901
...other sides BC, CD, DA by twice the rectangle CD, DA, show that the angle ACB is obtuse. 6. Prove that the straight line drawn at right angles to the diameter...the extremity of it, falls without the circle ; and that no straight line can be drawn from the extremity, between that straight line and the circumference,...
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## XX Century Cyclopaedia and Atlas: Biography, History, Art, Science ..., Volum 8

1901
...which touches or meets a circle or curve in one point, and which being produced does not cut it; a straight line drawn at right angles to the diameter of a circle, from the extremity of it, as n A in figure, which being continued at A, would merely touch and not cut the circle. In trigonometry...
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## Books 3-9

Euclid - 1908
...contained by the circumference CHA and the straight line AE. — PORISM. From this it is manifest that the straight line drawn at right angles to the diameter of a circle from its extremity touches the circle. 3 QED 4. cannot be interposed, literally "will not fall in between"...
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