 | Euclid - 1853 - عدد الصفحات: 176
...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... | |
 | John Playfair - 1855 - عدد الصفحات: 334
...the farther the chord is from the centre, the shorter it is. PROP. XVI. THEOR. <T The straight lme drawn at right angles to the diameter of a circle,...straight line and the circumference, from the extremity of the diameter, so as not to cut the circle. In AE take any point F, join DF and let DF meet the circle... | |
 | Cambridge univ, exam. papers - 1856 - عدد الصفحات: 252
...the centre, it shall cut it at right angles ; and if it cuts it at right angles, it shall bisect it. extremity, so as not to cut the circle ; or, which is the same Ihing, no straight line can make so great an acute angle with the diameter at its extremity, or so... | |
 | Euclides - 1856 - عدد الصفحات: 168
...straight line AB cuts the circle in no other point. XXIX. The perpendicular at the extremity of a diameter falls without the circle, and no straight line can be drawn between that and the circle so as not to cut the circle. Let AB (Fig. 21) be the diameter of a circle; C, the centre... | |
 | Henry Latham - 1857 - عدد الصفحات: 390
...pass through one point within the triangle the arcs will together form a complete circumference. 2. The straight line drawn at right angles to the diameter...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 equal angles with AB; prove... | |
 | Sandhurst roy. military coll - 1859 - عدد الصفحات: 672
...contained by the 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...without the circle, and no straight line can be drawn from the extremity between that straight line and the circumference, so as not to cut the circle. VOLUNTARY... | |
 | Euclides - 1860 - عدد الصفحات: 288
...is less than the square on EK, EH is less than EK. henee the straight line PROPOSITION XVI. THEOREM. The straight line drawn at right angles to the diameter...from the extremity of it, falls without the circle ; (2) and a straight line making an acute angle with the diameter at its extremity cuts the circle.... | |
 | John Playfair - 1860 - عدد الصفحات: 334
...conversely, the farther the chord is from the centre, the shorter it is. PROP. XVI. THEOR. The straight Ime drawn at right angles to the diameter of a circle,...of it, falls without the circle ; and no straight Une . can be drawn between that straight line and the circumference, from the extremity of the. diameter,... | |
 | Robert Potts - 1860 - عدد الصفحات: 380
...straight line and the perpendicular AE. QED COB. 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 ; (In. def. 2.) and that it touches it only in one point, because, if it did meet... | |
 | Euclides - 1861 - عدد الصفحات: 464
...The best position 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...without the circle , and no straight line can be drawn from the extremity between that straight line and the circumference, so as not to cut 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... 
