| Robert Potts - 1865 - 528 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 ; (in. def. 2.) and that it touches it only in one point, because, if it did meet... | |
| Euclides - 1865 - 402 pages
...than any rectilineal angle." 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 ; (m. def. 2) and that it touches it only in one point, because, if it did meet... | |
| John Playfair - Geometry - 1855 - 350 pages
...and, conversely, the farther the chord is from the centre, the shorter it is. - PROP. XVI. THEOR. Tht **straight line drawn at right angles to the diameter of a circle, from** tht extremity of it, falls without the circle ; and no straight line can be drawn between that straight... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 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 ; [lII.Def. 2. and that it touches the circle at one point only, because if it did... | |
| Robert Potts - 1868 - 434 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 ; (llI. def. 2.) and that it touches it only in one point, because, if it did meet... | |
| Civil service - 1871 - 264 pages
...opposite sides of parallelograms are equal to one another. 2. When does a straight line touch a circle ? **The straight line drawn at right angles to the diameter of a circle from the extremity of it,** touches the circle. 3. If two triangles have one angle of the one equal to one angle of the other,... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...the figure touches the circle. And the circle is said to be inscribed in the figure. PROPOSITION XVI. **THEOREM. The straight line drawn at right angles to...the diameter of a circle, from the extremity of it,** is a tangent to the circle. Let ABC be a ©, of which the centre is O, and the diameter A OB. Through... | |
| Euclides - 1872 - 102 pages
...the figure touches the circle; and the circle is said to be inscribed in the figure. PROPOSITION XVI. **THEOREM. The straight line drawn at right angles to the diameter of a circle, from** tJie extremity qf it, is a tangent to the circle. Let ABC be a ©, of which the centre is O, and the... | |
| Henry Major - Student teachers - 1873 - 588 pages
...as not to cut the circle. COROLLARY. — Prom 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 ; and that it touches the circle at one point only, because if it met the circle... | |
| Edward Atkins - 1874 - 426 pages
...5). Therefore, the diameter, <fec. QED Proposition 16. — Theorem. The straight line drawn at riyht **angles to the diameter of a circle, from the extremity of it, falls without the circle; and** a straight line, making an acute angle with the diameter at its extremity, cuts the circle. Let ABC... | |
| |