| Henry Major - 1873 - 588 sider
...than the square on KE ; and therefore EH is less than the straight line EK. XVI. — 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... | |
| Edward Atkins - 1874 - 426 sider
...circle. Therefore, the straight line, &c. QED COROLLARY. — From this it is manifest that the straight line which is drawn at right angles to the diameter...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 the circle in two... | |
| Euclides - 1874 - 342 sider
...than FG (III. Def. 5). Wherefore the diameter, &c. QED PROPOSITION 16. — 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... | |
| Edward Atkins - 1874 - 428 sider
...5). Therefore, the diameter, &c. QED, Proposition 16.— Theorem. Tlie straight line drawn at rvjltt angles to the diameter of a circle, from the extremity of it, falls ivithout the circle; and a straight line, making an acute anyle with the diameter at it» extremity,... | |
| Edward Atkins - 1876 - 130 sider
...circle. Therefore, the straight line, <tc. QED COROLLARY. — From this it is manifest that the straight line which is drawn at right angles to the diameter...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 the circle in two... | |
| Robert Potts - 1876 - 446 sider
...than FG. (lli. def. 5.) Wherefore the diameter, &c. QED PROPOSITION XVL 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... | |
| Isaac Sharpless - 1879 - 282 sider
...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 of a circle from the extremity of it, falls without the circle; and no straight line can be drawn between it and the circumference from the... | |
| University of Oxford - 1879 - 414 sider
...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 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... | |
| University of Oxford - 1879 - 584 sider
...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 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... | |
| Isaac Todhunter - 1880 - 426 sider
...than the straight line EK. Wherefore, the diameter &c. QED PROPOSITION 16. 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... | |
| |