 | Royal Military Academy, Woolwich - 1853 - 400 pàgines
...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... | |
 | Euclid - 1853 - 176 pàgines
...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 - 334 pàgines
...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,...between that 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... | |
 | Euclides - 1856 - 168 pàgines
...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 - 390 pàgines
...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 - 672 pàgines
...rectangles 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...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... | |
 | John Playfair - 1860 - 334 pàgines
...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,... | |
 | Euclides - 1860 - 288 pàgines
...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.... | |
 | Robert Potts - 1860 - 380 pàgines
...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 - 464 pàgines
...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... 
