to Turbo duplicatus, on page 519, it is perhaps worth while to illustrate the logarithmic statement of the same facts: that is to say, the elementary corollary to the fact that the successive radii are in geometric progression, that their logarithms differ from one another by a constant amount. {521}
| Relative widths of successive whorls | Logarithms of successive whorls | Difference of successive logarithms |
|---|---|---|
| 131 | 2ôñ11727ã | ã |
| 112 | 2ôñ04922ã | ôñ06805 |
| 94 | 1ôñ97313ã | ôñ07609 |
| 80 | 1ôñ90309ã | ôñ07004 |
| 67 | 1ôñ82607ã | ôñ07702 |
| 57 | 1ôñ75587ã | ôñ07020 |
| 48 | 1ôñ68124ã | ôñ07463 |
| 41 | 1ôñ161278 | ôñ06846 |
| Mean difference ôñ07207 |
And ôñ07207 is the logarithm of 1ôñ1805.
The logarithmic spiral is not only very beautifully manifested in the