Tutor. So far you are right. Now extract the root.
| .. | ||||||
| 49836 | (36 | 3 | 36 | |||
| 27 | 3 | 36 | ||||
| 27) | 228 | Sq. of 3 = | 9 | 216 | ||
| 46656 | Mul. by | 3 | 108 | |||
| 3180 | Divisor | 27 | 1296 | |||
| 36 | ||||||
| 7776 | ||||||
| 3888 | ||||||
| Cube of 36 = | 46656 | |||||
Pupil. The root I find to be 36, which is the mean distance of Mercury from the sun, in millions of miles.
Tutor. You now see, that although 27 in 228 will go 8 times, yet here it will go but 6 times; and, as there is a remainder, it shews you that the resolvend is not a cube number.
Pupil. I see it clearly.
Tutor. You now seem perfect in the rule; I shall therefore not trouble you with any more examples, but shall give you the table I promised you.
| TABLE. | ||||
| Names | Diameters, | Magnitude, | Periods, | Mean Distance |
| of the | in English | compared | in | from the Sun, |
| Planets. | Miles. | with the Earth. | Years and Days. | in Mil. of Miles. |
| Sun | [[A]]893522 | 1435952 | — | — |
| Mercury | 3261 | 1/14 | 0 — 88 | 36 |
| Venus | 7699 | 5/49 | 0 — 224 | 68 |
| Earth | 7920 | 1 | 1 or 365 | 95 |
| Moon | 2161 | 1/49 | — | — |
| Mars | 5312 | 1/3 | 1 and 322 | 145 |
| Jupiter | 90255 | 1479 | 11 — 314 | 494 |
| Saturn | 80012 | 1031 | 29 — 167 | 906 |
| Georgian | 34217 | 82 | 83 — 121 | 1812 |
[A]. The Diameters were taken from Adams’s Lectures, Vol. IV. p. 39.
Pupil. I shall take the first opportunity of calculating the rest, in which I am certain I shall have great satisfaction.