 | Euclides - 1862 - 172 pages
...FG. (in. def. 5.) Wherefore, the diameter, &c. QED PROP. XVI.— THEOREM. The straight line which is 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, which does not cut the circle,... | |
 | Euclides - 1862 - 140 pages
...equal to DA; therefore DH is less than DK. 4. Therefore the point H is within the circle. 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 - 1864 - 262 pages
...nearer to the center than FG. (iil. def. 5.) Wherefore the diameter, &c. Q.KD. PROPOSITION XVI. THEOREM. 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 - 1864 - 448 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 ; (ln. 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... | |
 | 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... | |
 | 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,... | |
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The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle... 
