 | Euclides - 1865
...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 - 1855 - 317 sider
...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 - 1867 - 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 ; [lII.Def. 2. and that it touches the circle at one point only, because if it did... | |
 | Robert Potts - 1868 - 410 sider
...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
...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 - 1872 - 349 sider
...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
...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 - 1873
...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
...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... | |
 | Edward Atkins - 1874
...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... | |
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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... 
