 | Euclid, Thomas Tate - 1849 - 120 Seiten
...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... | |
 | Euclid - 1853 - 176 Seiten
...the circle. frf) I. 12. (e) I. 19. 0 I. Def. 15. COROLLARY. 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 circumference of the circle, and that it touches it only in one point ; and further, that only one... | |
 | Euclides - 1853 - 176 Seiten
...rectilineal angle. QED COR. From this it is manifest, that the straight line which is drawn at right angle* 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 (iii. 2). Also,... | |
 | Royal Military Academy, Woolwich - 1853 - 400 Seiten
...remaining angle less than any rectilineal angle." QED Con. 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, touchas the circle ; and that it touches it only in one point, because, if it did meet the circle in... | |
 | Euclides - 1853 - 146 Seiten
...straight line EH less than EK. Wherefore, the diameter, &c. ui;.n. PROP. XVI. - THEOREM. 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... | |
 | John Playfair - 1856 - 346 Seiten
...straight line AG cuts -he circle. COR. 1. From this it is manifest, that the straight line whichjs drawn at right angles to the diameter of a circle...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 (2. 3.).... | |
 | Henry Latham - 1857 - 390 Seiten
...point within the triangle the arcs will together form a complete circumference. 2. The straight line drawn at right angles to the diameter of a circle from the extremity of it falls without the circle. If AB be a fixed chord of a circle, AC and AD any two other chords making... | |
 | Sandhurst roy. military coll - 1859 - 672 Seiten
...whole and each of the parts are together equal to the square on the whole line. 3. 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 from the extremity between that straight... | |
 | Robert Potts - 1860 - 380 Seiten
...than FG. (lll. def. 5.) Wherefore the diameter, &c. QED PROPOSITION XVI. THEOREM. 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 from the extremity between that straight... | |
 | Euclides - 1861 - 464 Seiten
...therefore for the oars is in the Une of the Neatest width, AB. PROP. 16.— THEOn. 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 from the extremity between that straight... | |
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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... 
