we have as follows:
| Total length (in terms of the radius) | Constant angle |
|---|---|
| ããããã2 | 60ô¯ô ãããô ããã |
| ããããã3 | 70ãô 31ÿ£¢ãýô ããã |
| ããããã4 | 75ãô 32ãô ããã |
| ããããã5 | 78ãô 28ãô ããã |
| ãããã10 | 84ãô 16ãô ããã |
| ãããã20 | 87ãô ã8ãô ããã |
| ãããã30 | 88ãô ã6ãô ããã |
| ãããã40 | 88ãô 34ãô ããã |
| ãããã50 | 88ãô 51ãô ããã |
| ããã100 | 89ãô 26ãô ããã |
| ãã1000 | 89ãô 56ÿ£¢ãýô 36ÿ£¢ã° |
| 10,000 | 89ãô 59ãô 30ã |
Accordingly, we see that (1), when the constant angle of the spiral is small, the spiral itself is scarcely distinguishable from a straight line, and its length is but very little greater than that of its own radius vector. This remains pretty much the case for a considerable increase of angle, say from 0ô¯ to 20ô¯ or more; (2) for a very