| Euclides - 1814
...square of EK, and the straight line EH less than EK. Wherefore the diameter, &c. QED PROP. XVI. THEOR. **THE straight line drawn at right angles to the diameter...straight line and the circumference from the extremity,** so as not to cut the circle; or, which is the same thing, no straight line can make so great an acute... | |
| Euclides - 1816 - 528 sider
...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 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 cir• 2.... | |
| Euclid, Robert Simson - 1821 - 516 sider
...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... | |
| Henry Aldrich - 1821
...angles : if this be the case, two angles of a triangle are equal to two right angles : Therefore, if a **straight line drawn at right angles to the diameter of a circle** at its extremity does not fall without the circle, it occasions the existence of a triangle containing... | |
| 1825
...Euclid to refer to, I 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,... | |
| Peter Nicholson - 1825 - 372 sider
...angle less than any rectilineal angle.' 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 the circle ; and (hat it touches it only in one point, because, if it did meet the circle in... | |
| 1825
...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 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... | |
| Perry Fairfax Nursey - 1825
...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 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... | |
| Euclid - 1826 - 180 sider
...and the remaining angle less than any rectilineal angle. QED Deductions. 1. The right line which is **drawn at right angles to the diameter of a circle from the extremity of it** touches the circle, and that it touches only in one point. 2. To describe a circle, which shall touch... | |
| Euclides - 1826
...and the remaining angle less than any .rectilineal angle. QED Deductions. 1. The right line which is **drawn at right angles to the diameter of a circle from the extremity of it** touches the circle, and that it touches only in one point. 2. To describe a circle, which shall touch... | |
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