 | Robert Simson - 1838 - 434 pągines
...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... | |
 | Euclides - 1838 - 264 pągines
...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,... | |
 | Euclides - 1841 - 378 pągines
...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... | |
 | Euclides - 1842 - 316 pągines
...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 that straight line... | |
 | John Playfair - 1842 - 332 pągines
...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 line and the circumference,... | |
 | Euclid - 1845 - 218 pągines
...line EH less than EK. Wherefore the diameter, &c. QED PROPOSITION XVI. THEOU. — 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 line and the circumference... | |
 | Euclides - 1845 - 546 pągines
...than F G. (in. def. 5.) Wherefore the diameter, &c. QED PROPOSITION XVI. 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 from the extremity between that straight... | |
 | Euclid, James Thomson - 1845 - 382 pągines
...which is drawn at right angles to a 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 except A, it falls without the circle. It is also evident, that there can be but one... | |
 | Great Britain. Admiralty - 1846 - 128 pągines
...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 of a circle, from the extremity of it, falls without the circle ; and no straight line can be drawn from the extremity between that straight... | |
 | Euclides - 1846 - 292 pągines
...the line EH than the line EK. Wherefore, The diameter %c. QED PROP. XVI. THEOR. The^trair/ht 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 drawti from the extremity, between that straight... | |
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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... 
