| Edward Atkins - 1874 - 428 pages
...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 it only in one point, because if it did meet... | |
| Euclides - 1874 - 342 pages
...straight line and the perpendicular AE. QED 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 (III. Def. 2) ; and that it touches it only in one point, because, if it did meet... | |
| Robert Potts - Geometry - 1876 - 446 pages
...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 pages
...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... | |
| University of Oxford - Greek language - 1879 - 414 pages
...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.... | |
| Isaac Sharpless - Geometry - 1879 - 282 pages
...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 - Education, Higher - 1879 - 584 pages
...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.... | |
| Euclides, James Hamblin Smith - 1879 - 376 pages
...said to be 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 - Euclid's Elements - 1880 - 426 pages
...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... | |
| Education, Higher - 1881 - 504 pages
...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.... | |
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