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
| Robert Potts - 1868 - 434 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 ; (llI. def. 2.) and that it touches it only in one point, because,... | |
| Edinburgh univ - 1871 - 392 pages
...which one or more of the squares is inverted. 5. Prove, as Euclid does, that if a straight line be **at right angles to the diameter of a circle from its extremity,** it touches the circle. Prove also that if the tangent be defined as the limit of the secant it will... | |
| Henry Major - Student teachers - 1873 - 588 pages
...AE and the circumference, so 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... | |
| Edward Atkins - 1874 - 428 pages
...cuts the circle. Therefore, 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... | |
| Euclides - 1874 - 342 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 (III. Def. 2) ; and that it touches it only in one point, because,... | |
| Robert Potts - Geometry - 1876 - 446 pages
...must pass between that 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,... | |
| Edward Atkins - 1876 - 130 pages
...cuts tho circle. Therefore, 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... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...cut the circle. FE / 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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...which is impossible. FE Wherefore, the straight line &c. QBB 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 ; [ill. Def. 2. and that it touches the circle at one point... | |
| Palaestra Oxoniensis - 1884 - 204 pages
...bisects another at right angles, the centre of the circle is in the line which bisects the other. (2) **The straight line which is drawn at right angles to the diameter of a circle** at its extremity touches the circle. (3) A straight line, which touches a circle, touches it only in... | |
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