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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... "
A collection of elementary test questions in pure and mixed mathematics ... - Pàgina 218
per James Robert Christie - 1866 - 404 pàgines
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 pàgines
...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 line and the...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pàgines
...circumference, which doen not cut the circle. COR. From this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle from the ti Def 3. extremity of 1t, touchest the circle ; and that it '"' touches it only in one point, because,...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 pàgines
...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, toucher, 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, with a ...

John Playfair - 1842 - 332 pàgines
...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...between that straight line and the circumference, from the extremity of the diameter, so as not to cut the circle. Let ABC be a circle, the centre of...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pàgines
...straight line and the perpendicular AE. 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 circle in...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 pàgines
...less than any rectilineal 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 circle in...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pàgines
...less than any rectilineal 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 ; (in. def. 2.) and that it touches it only in one point, because, if it did meet...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 pàgines
...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...between that straight line and the circumference, from the extremity of the diameter, so as not to cut the circle. 72 In AE take any point F, join DF...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 pàgines
...AF=FB. Prop. 25. ie CD bisects AB, in pt. F. Wherefore, if a str. line, &c. PROP. LI. THEOR. 16. 3 Eu. A 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 circum-ference, so as not to cut the circle....
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 pàgines
...Prop. 25. ie CD bisects AB, in pt. F. Wherefore, if a str. line, &c. PROP. LI. THEOR. 16 . 3Eo . A 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. to...
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