| Euclid - 1826 - 180 sider
...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
...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 - 513 sider
...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
...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 - 513 sider
...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 - 472 sider
...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 - 311 sider
...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 - 318 sider
...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 - 240 sider
...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 - 88 sider
...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... | |
| |