Correspondences

The tables of the planets

Seven squares, one to a planet, from the twenty-second chapter of Agrippa's second book. Each holds the numbers from one to n² once each, and every row, column and diagonal comes to the same total — which is what makes them the one kind of transcription that can be checked completely rather than trusted.

Saturn 3 × 3

4 9 2 15
3 5 7 15
8 1 6 15
15 15 15 ✓
Each line
15
Whole square
45
Source
Three Books of Occult Philosophy, Book II, ch. 22
Checked
Every row, column and diagonal adds up.

Jupiter 4 × 4

4 14 15 1 34
9 7 6 12 34
5 11 10 8 34
16 2 3 13 34
34 34 34 34 ✓
Each line
34
Whole square
136
Source
Three Books of Occult Philosophy, Book II, ch. 22
Checked
Every row, column and diagonal adds up.

Mars 5 × 5

11 24 7 20 3 65
4 12 25 8 16 65
17 5 13 21 9 65
10 18 1 14 22 65
23 6 19 2 15 65
65 65 65 65 65 ✓
Each line
65
Whole square
325
Source
Three Books of Occult Philosophy, Book II, ch. 22
Checked
Every row, column and diagonal adds up.

Sun 6 × 6

6 32 3 34 35 1 111
7 11 27 28 8 30 111
19 14 16 15 23 24 111
18 20 22 21 17 13 111
25 29 10 9 26 12 111
36 5 33 4 2 31 111
111 111 111 111 111 111 ✓
Each line
111
Whole square
666
Source
Three Books of Occult Philosophy, Book II, ch. 22
Checked
Every row, column and diagonal adds up.

Venus 7 × 7

22 47 16 41 10 35 4 175
5 23 48 17 42 11 29 175
30 6 24 49 18 36 12 175
13 31 7 25 43 19 37 175
38 14 32 1 26 44 20 175
21 39 8 33 2 27 45 175
46 15 40 9 34 3 28 175
175 175 175 175 175 175 175 ✓
Each line
175
Whole square
1225
Source
Three Books of Occult Philosophy, Book II, ch. 22
Checked
Every row, column and diagonal adds up.

Mercury 8 × 8

8 58 59 5 4 62 63 1 260
49 15 14 52 53 11 10 56 260
41 23 22 44 45 19 18 48 260
32 34 35 29 28 38 39 25 260
40 26 27 37 36 30 31 33 260
17 47 46 20 21 43 42 24 260
9 55 54 12 13 51 50 16 260
64 2 3 61 60 6 7 57 260
260 260 260 260 260 260 260 260 ✓
Each line
260
Whole square
2080
Source
Three Books of Occult Philosophy, Book II, ch. 22
Checked
Every row, column and diagonal adds up.

Moon 9 × 9

37 78 29 70 21 62 13 54 5 369
6 38 79 30 71 22 63 14 46 369
47 7 39 80 31 72 23 55 15 369
16 48 8 40 81 32 64 24 56 369
57 17 49 9 41 73 33 65 25 369
26 58 18 50 1 42 74 34 66 369
67 27 59 10 51 2 43 75 35 369
36 68 19 60 11 52 3 44 76 369
77 28 69 20 61 12 53 4 45 369
369 369 369 369 369 369 369 369 369 ✓
Each line
369
Whole square
3321
Source
Three Books of Occult Philosophy, Book II, ch. 22
Checked
Every row, column and diagonal adds up.

Note on the printed plate: The 1651 plate is defective in two cells and they are corrected here, out loud. It prints 45 in the first row's eighth cell where the arithmetic requires 54, and 34 in the eighth row's first cell where it requires 36. Both are certain rather than guessed: the row and the column through each cell fall short by exactly that difference — nine and two — which no misreading of the surrounding cells could produce.

What is not here

Agrippa also prints names and seals alongside the squares. The checked intelligence names are now on the planetary-magic pages. The seals are not reproduced here.