 | John Playfair - 1806 - 320 pàgines
...straight line, &c. QED A Book HI. COR. From this it is manifest that the straight line which N^-v*W is drawn at right angles to the diameter of a circle,...point ; because, if it did meet the circle in two points, it would fall within itc. Also it is evident that there can be but one straight line which... | |
 | John Mason Good - 1813 - 714 pàgines
...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 - 560 pàgines
...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 - 588 pàgines
...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...it only in one point, because, if it did meet the cir• 2. 3. cle in two, it would fall within ite. ' Also, it is evident, * that there can be but one... | |
 | Euclid, Robert Simson - 1821 - 514 pàgines
...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... | |
 | 1825 - 546 pàgines
...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...did meet the circle in two, it would fall within it. (Prop. 2, Book in.) Also it is evident that there can be but one straight line which touches the circle... | |
 | Perry Fairfax Nursey - 1825 - 476 pàgines
...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 two, it would fall within it.... | |
 | Peter Nicholson - 1825 - 1046 pàgines
...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 pàgines
...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 pàgines
...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... | |
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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... 
