 | John Mason Good - 1813
...remote; and the greater is nearer to the centre than the less, * 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... | |
 | Euclides - 1814
...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 without the circle; and no straight line can be drawn between that straight line and the circumference... | |
 | Euclides - 1816 - 528 sider
...angle less than any rectiii'neal angle.' QED COR. From this it is manifest, that the 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 cir• 2. 3. cle in two, it... | |
 | John Playfair - 1819 - 317 sider
...therefore the straight line AG cuts the circle. Con. From this it is manifest, that the 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... | |
 | John Playfair - 1819 - 333 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... | |
 | Euclid, Robert Simson - 1821 - 516 sider
...remaining angle less than any rectilineal angle.' Con. From this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle from the exstraight line which touches the circle in the same point.' PROP. XVII. PROB. To draw a straight line... | |
 | Perry Fairfax Nursey - 1825
...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 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... | |
 | 1825
...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 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... | |
 | Peter Nicholson - 1825 - 372 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
...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,... | |
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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... 
