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To tell any Number a Person has fixed on, without asking him any Questions.
You tell the person to choose any number from 1 to 15; he is to add 1 to that number, and triple the amount. Then,
1. He is to take the half of that triple, and triple that half.
2. To take the half of the last triple, and triple that half.
3. To take the half of the last triple.
4. To take the half of that half.
Thus, it will be seen, there are four cases where the half is to be taken; the three first are denoted by one of the eight following Latin words, each word being composed of three syllables; and those that contain the letter i refer to those cases where the half cannot be taken without a fraction; therefore, in those cases, the person who makes the deduction is to add 1 to the number divided. The fourth case shows which of the two numbers annexed to every word has been chosen; for if the fourth half can be taken without adding 1, the number chosen is in the first column; but if not, it is in the second.
| The words. | The numbers they denote. | |
| Mi-se-ris | 8 | 0 |
| Ob-tin-git | 1 | 9 |
| Ni-mi-um | 2 | 19 |
| No-ta-ri | 3 | 11 |
| In-fer-nos | 4 | 12 |
| Or-di-nes | 13 | 5 |
| Ti-mi-di | 6 | 14 |
| Te-ne-ant | 15 | 7 |
For example:
| Suppose the number chosen is | 9 |
| To which is to be added | 1 |
| —— | |
| 10 | |
| The triple of that number is | 30 |
| The half of which is | 15 |
| The triple of that half must be | 45 |
| And the half of that[A] | 23 |
| The triple half of that half | 69 |
| The half of that[A] | 35 |
| And the half of that half[A] | 18 |
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