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" 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... "
A companion to Euclid: being a help to the understanding and remembering of ... - Page 61
by Euclides - 1837 - 88 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...of EK, and the straight line EH less than EK. Wherefore, the diameter, &c. Q, ED PROP. XVI. THEOR. The straight line drawn at right angles to the diameter...falls without the circle ; and no straight line can be drati•n between that straight line and the circumference, from ihr extremity of the diameter, so...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...the straight line AG cuts the circle. Con. 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 circle...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...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 logicę rudimenta, with illustrative observations [and a transl. By J ...

Henry Aldrich - 1821 - 300 pages
...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, Volume 4

Industrial arts - 1825 - 484 pages
...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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Mechanics Magazine, Volume 4

Industrial arts - 1825 - 546 pages
...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 ..., Volume 4

Perry Fairfax Nursey - Industrial arts - 1825 - 476 pages
...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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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...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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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...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 - 226 pages
...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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