| 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 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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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