| Robert Potts - 1876 - 446 sider
...straight line and the perpendicular AE. QEp 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 the circle ; (in. def. 2.) and that it touches it only in one point, because, if it did meet... | |
| Edward Atkins - 1876 - 130 sider
...the straight line, <tc. QED COROLLARY. — 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 (III. Def. 2) ; and that it touches it only in one point, because if it did meet... | |
| Isaac Sharpless - 1879 - 282 sider
...may be shown less than EK; that is, BO is nearer the centre than FG. Proposition 14. Theorem.—The straight line drawn at right angles to the diameter...circle; and no straight line can be drawn between it and the circumference from the extremity of the diameter which does not cut the circle. Let ABC... | |
| University of Oxford - 1879 - 584 sider
...the point of contact. 3. In a given circle, inscribe a triangle equiangular to a given triangle. 4. 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.... | |
| University of Oxford - 1879 - 414 sider
...the rectangle contained by the whole and that part, together with the square on the other part. 4. 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.... | |
| Euclides, James Hamblin Smith - 1879 - 376 sider
...described about a circle, when each side of the figure touches the circle. PROPOSITION XVI. THEOREM. The straight line drawn at right angles to the diameter of a drde,from the extremity of it, is a tangent to the circle. Let ABC be a ©, of which the centre is... | |
| Isaac Todhunter - 1880 - 426 sider
...Wherefore, the straight line &c. QED COROLLARY. 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 ; [III. Def.2. and that it touches the circle at one point only, because if it did... | |
| 1881 - 504 sider
...rectangle contained by the whole and one of the parts shall be equal to the square on the other part. 6. 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. 7.... | |
| 1883 - 536 sider
...the aforesaid part. 10. Trisect (i) a right angle, (ii) a given straight line. 11. The straight lines drawn at right angles to the diameter of a circle...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. 12.... | |
| Isaac Sharpless - 1882 - 286 sider
...EH may be shown less than EK; that is, BC is nearer the centre than FG. Proposition 14. Theorem. — The straight line drawn at right angles to the diameter...extremity of it, falls without the, circle; and no other straight line can be drawn from the extremity of the diameter which does not cut the circle.... | |
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