 | John Playfair - 1819 - 350 sider
...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 it, falls without the circle ; and no straight line can be drati•n between that straight line and the... | |
 | 1825 - 546 sider
...and therefore the straight line AG cuts the circle. " COR.— Hence it is manifest, that the straight line which is drawn at right angles to the diameter...the circle, and that it touches it only in one point ; because, if it did meet the circle in two, it would fall within it. (Prop. 2, Book in.) Also it is... | |
 | Perry Fairfax Nursey - 1825 - 476 sider
...therefore the straight line AG cuts the circle. " Cor..— Hence it is manifest, that, the straight line which is drawn at right angles to the diameter...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 within it.... | |
 | Peter Nicholson - 1825 - 1046 sider
...line EH less than EK. Wherefore the diameter, fee. QED Proposition. XVI. Tlieorem. 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... | |
 | 1825 - 484 sider
...will quote his IGth Proposition, Book in., which bears directly on this point. " The straight line drawn at right angles to the diameter of a circle from the extremity of it foils without the circle; and no straight line can lie drawn between that straight line and the circumference,... | |
 | Euclides - 1826 - 226 sider
...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... | |
 | Euclid - 1826 - 234 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... | |
 | Robert Simson - 1827 - 546 sider
...remaining angle 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 cirtsDef. 3. cle from the extremity of it, touchesf the circle; and that it touches it only in one... | |
 | Euclid - 1835 - 540 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...circle ; and that it touches it only in one point, because, if it did meet the circle in two, it would e 2. 3. fall within it. e " Also it is evident,... | |
 | 1836 - 488 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,... | |
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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... 
