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Books Books 11 - 20 of 91 on THE straight line drawn at right angles to the diameter of a circle, from the extremity....  
" THE straight line drawn at right angles to the diameter of a circle, from the extremity of... "
Books 3-9 - Page 37
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid, Phillips - 1826 - 180 pages
...Wherefore in a circle, &c. QED PROPOSITION XVI. THEOREM. (Extracted from Dr. Simson's Edition.) The right line drawn at right angles to the diameter of a circle from the extremity of' it falls without the circle ; and no right line can be drawn between that right line...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1826 - 320 pages
...of EK, and the straight lineliHless than EK. Whereforq, the diameter, &$, QE J). PROP. XVI. THEOR. The straight line drawn at right angles to the diameter of a eirele, from the extremity of it, falls without the circle ; and no straight line ean be drawn between...
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The teacher's assistant in the "Course of mathematics adapted to the method ...

Jeremiah Day - Mathematics - 1836 - 472 pages
...is always greater than the more remote; and the greater is nearer to the centre than the less. XVI. The straight line drawn at right angles to the diameter of a circle, from the extremity of it, fulls without the circle ; and no straight line can be drawn between that straight...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair, William Wallace - Euclid's Elements - 1836 - 471 pages
...of EK, and the straight line EH less than EK. Wherefore the diameter, &c. QED PROP. XVI. THEOR. iTke straight line drawn at right angles to the diameter of a circle, from the extremity of zY, falls without the circle ; and no straight line can be drawn between that straight...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837
...that BH > FK, 2. that EH" < EK" and .'. EH < EK. PROPOSITION XVI. (Argument ad absurdum). 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 between that straight...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - Mathematics - 1837 - 390 pages
...circle. Therefore the straight line, &c. Cor. From this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle from its extremity, touches (III. def. 1.) the circle; and that it touches it only in one point, because at every point...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Euclid - Trigonometry - 1838 - 416 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 of a circle, from the extremity of if, falls without the circle ; and no straight line can be drawn between that straight...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841
...therefore BC is nearer* to the centre than FG. Wherefore, * 5 Def the diameter, &c. QED 3PROP. XVI. THEOR. 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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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - History - 1842
...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 of a circle, from the extremity of it, falls on the exterior of the circle ; and no straight line can be drawn between...
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Elements of geometry: containing the first six books of Euclid, with a ...

John Playfair - Mathematics - 1842 - 317 pages
...centre ; and> conversely, the farther the chord is from the centre, the shorter it is. PROP. XVI. THEOR. 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 between that straight...
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