| Euclides - 1853 - 147 Seiten
...rectilineal angle. QED COR. From this it is manifest, that the straight line which is drawn at right angle* **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... | |
| John Playfair - 1856 - 318 Seiten
...straight line AG cuts -he circle. COR. 1. From this it is manifest, that the straight line whichjs **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... | |
| Henry Latham - 1857 - 59 Seiten
...point within the triangle the arcs will together form a complete circumference. 2. The straight line **drawn at right angles to the diameter of a circle from the extremity of it** falls without the circle. If AB be a fixed chord of a circle, AC and AD any two other chords making... | |
| Sandhurst roy. military coll - 1859 - 1869 Seiten
...whole and each of the parts are together equal to the square on the whole line. 3. The straight line **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 between that straight... | |
| Euclides - 1860
...line which is drawn at right angles to the radius of a circle from the extremity of it, is a tangent ; **and that it touches it only in one point, because if it did meet the circle in two,** it would fall within it (III. 2). Also, it is evident that there can be but one straight line which... | |
| Robert Potts - 1860 - 361 Seiten
...than FG. (lll. def. 5.) Wherefore the diameter, &c. QED PROPOSITION XVI. THEOREM. The straight line **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 between that straight... | |
| Euclides - 1861
...therefore for the oars is in the Une of the Neatest width, AB. PROP. 16.— THEOn. The straight line **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 between that straight... | |
| Euclides - 1864
...than FG. (nI. def. 5.) Wherefore the diameter, &c. QED PROPOSITION XVI. THEOREM. The straight line **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 between that straight... | |
| Euclides - 1865
...the straight line which is at right angles to it, as not to cut the circle. Cor. The straight line **which is drawn at right angles to the diameter of a circle from the extremity of it** tonches the circle ; and it tonches it only in one point; also there can be but one straight line which... | |
| James Robert Christie - 1866 - 404 Seiten
...2. The difference of any two sides of a triangle is less than the third side. 3. The straight line **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 between that straight line and the circumference... | |
| |