 | Euclides - 1816 - 588 pages
...remaining 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...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 would fall within ite.... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...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 - Geometry - 1821 - 514 pages
...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... | |
 | Industrial arts - 1825 - 546 pages
...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...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. (Prop. 2,... | |
 | Perry Fairfax Nursey - Industrial arts - 1825 - 476 pages
...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 - Mathematics - 1825 - 1046 pages
...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... | |
 | Industrial arts - 1825 - 484 pages
...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 pages
...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... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...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... | |
 | Euclides - 1834 - 518 pages
...remaining angle less than any rectilineal angle." o. ED 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 t the circle ; and that it t 2 Def. 3. toncbes it only in one point, because if it did meet the circle... | |
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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... 
