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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... "
The Cambridge Examiner - Page 257
1881
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

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

Euclides - 1838 - 264 pages
...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 - Geometry - 1841 - 378 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, 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 - Euclid's Elements - 1842 - 332 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...without the circle ; and no straight line can be drawn between that straight line and the circumference, from the extremity of the diameter, so as not to...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...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 - Geometry - 1845 - 218 pages
...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 pages
...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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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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...and the circum-ference, so as not to cut the circle. to AB from its extremity A, shall fall without the 0. Fig i. Pis 2. PE Fig. ). If not, let it fall...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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...and the circumference, so as not to cut the circle. to AB from its extremity A, shall fall without the ©. Fig i. Fis 2. Fig. i. If not, let it fall if...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 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...without the circle ; and no straight line can be drawn between that straight line and the circumference, from the extremity of the diameter, so as not to...
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