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; and that it touches it only in one point, because, if it did meet the circle in two, it would fall... Practical geometry for art students - Page 35by John Carroll (art master.) - 1881Full view - About this book
| Euclid, Thomas Tate - 1849 - 120 pages
...angle, and the remaining angle less than any rectilineal angle." COB. '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; and that it touches it only in one point, because, if it did... | |
| Euclid - Geometry - 1853 - 176 pages
...circumference of the circle. frf) I. 12. (e) I. 19. 0 I. Def. 15. COROLLARY. Hence 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 circumference of the circle, and that it touches it only in one point... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...angle, and the remaining angle less than any rectilineal angle." QED Con. 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, touchas the circle ; and that it touches it only in one point, because, if it... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...must pass between that straight line and the perpendicular AE. QED COB. 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,... | |
| Euclides - 1862 - 172 pages
...nearer to the centre than 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, from** the extremity of it, falls without the circle ; and no straight line can be drawn from the extremity... | |
| Euclides - 1862 - 140 pages
...But DK is 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... | |
| Euclides - 1864 - 448 pages
...must pass between that 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,... | |
| Euclides - 1865 - 402 pages
...is nearer to the centre than FC. (m. def. 5.) Wherefore, the diameter, &c. QED PROP. XVL— THEOREM. **The straight line which is drawn at right angles to the diameter of a circle, from** the extremity of it, falls without the circle; and no straight line can be drawn from the extremity... | |
| Robert Potts - 1865 - 528 pages
...must pass between that 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,... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...cut the circle. r E 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... | |
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