 | Euclid - 1826 - 234 Seiten
...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 and the circumference... | |
 | Euclides - 1826 - 226 Seiten
...a circle, Scc. 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 and the circumference... | |
 | Robert Simson - 1827 - 546 Seiten
...at right angles to the diameter of a cirtsDef. 3. cle from the extremity of it, touchesf the circle; and that it touches it only in one point, because, if it did * 2. 3. meet the circle in two, it would fall * within it. " Also it is evident, that there can be... | |
 | Euclides - 1834 - 518 Seiten
...angle less than any rectilineal angle." o. ED 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 t the circle ; and that it t 2 Def. 3. toncbes it only in one point, because if it did meet the circle... | |
 | Euclid - 1835 - 540 Seiten
...angle less than " any rectilineal angle." COR. From this it is manifest, that the straight line whick 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 two, it would e 2.... | |
 | 1836 - 488 Seiten
...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 line and the circumference,... | |
 | John Playfair - 1836 - 488 Seiten
...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 line and the... | |
 | John Playfair - 1837 - 332 Seiten
...the straight line AG cuts the circle. COR. 1. From this it is manifest, that the j> [ straight line which is drawn at right angles to the diameter of...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 two, it would fall... | |
 | Andrew Bell - 1837 - 290 Seiten
...line which is drawn at right angles to the radius of a circle from the extremity of it, is a tangent ; and that it touches it only in one point, because, if it did meet the circle in two, it would fall within it (III. 2). Also, it is evident that there can be but one straight line which... | |
 | Euclides - 1837 - 112 Seiten
...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 line and the circumference... | |
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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... 
