| Edward Atkins - 1876 - 119 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 - 266 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
...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
...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
...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 - 400 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... | |
| ...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.... | |
| ...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 - 266 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.... | |
| Mary W I. Shilleto - 1882
...students are advised not to confine themselves to one paper, but to make use of the whole set. (a) 1. **The straight line drawn at right angles to the diameter of a circle, from the extremity of it,** is a tangent to the circle. Two equal circles cut one another at the points AB ; BC is a chord equal... | |
| |