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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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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...square of EK, and the straight line EH less than EK. Wherefore the diameter, &c. QED PROP. XVI. THEOR. THE straight line drawn at right angles to the diameter...straight line and the circumference from the extremity, so as not to cut the circle; or, which is the same thing, no straight line can make so great an acute...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 sider
...less than any rectiii'neal angle.' 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 ; and that it touches it only in one point, because, if it did meet the cir• 2....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 516 sider
...angle less than any rectilineal angle.' Con. From this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle from the exstraight line which touches the circle in the same point.' PROP. XVII. PROB. To draw a straight line...
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Artis logicæ rudimenta, with illustrative observations [and a transl. By J ...

Henry Aldrich - 1821
...angles : if this be the case, two angles of a triangle are equal to two right angles : Therefore, if a straight line drawn at right angles to the diameter of a circle at its extremity does not fall without the circle, it occasions the existence of a triangle containing...
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Mechanics' Magazine and Journal of Science, Arts, and Manufactures, Volum 4

1825
...Euclid to refer to, I will quote his IGth Proposition, Book in., which bears directly on this point. " The straight line drawn at right angles to the diameter of a circle from the extremity of it foils without the circle; and no straight line can lie drawn between that straight line and the circumference,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 sider
...angle less than any rectilineal angle.' 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 ; and (hat it touches it only in one point, because, if it did meet the circle in...
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Mechanics Magazine, Volum 4

1825
...the straight line AG cuts the circle. " COR.— Hence 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...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volum 4

Perry Fairfax Nursey - 1825
...straight line AG cuts the circle. " Cor..— Hence 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...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 sider
...and the remaining angle less than any rectilineal angle. QED Deductions. 1. The right 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 only in one point. 2. To describe a circle, which shall touch...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826
...and the remaining angle less than any .rectilineal angle. QED Deductions. 1. The right 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 only in one point. 2. To describe a circle, which shall touch...
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