PAL

Ptolemaeus Arabus et Latinus

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% (the percent sign) is the placeholder for no, one or more than one character.
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At the beginning and at the end, these placeholders are superfluous.

Ptolemy, Almagesti (tr. Gerard of Cremona)

Venice, Petrus Liechtenstein, 1515 · 39v

Facsimile

Differentia sive descriptio tabularum motuum mediorum Lune in tribus partibus quarti prefatorum quattuor modorum ·☽·

☽ ───────── a ───────── ☉
Motus Lune medius in longitudine loci sui a Sole in annis coniunctis
Motus Lune medius in longitudine loci sui a Sole in annis expansis
Motus Lune medius in longitudine loci sui a Sole in mensibus
Anni coniuncti secundum 18
Superfluum graduum 70 minutorum 37
Anni expansi
☽
Menses
☽
Partes
Minuta
Secunda
Tertia
Quarta
Quinta
Sexta
Partes
Minuta
Secunda
Tertia
Quarta
Quinta
Sexta
Partes
Minuta
Secunda
Tertia
Quarta
Quinta
Sexta
18
36
54
173
346
159
12
24
37
26
53
19
32
5
38
49
38
27
10
21
31
30
0
30
1
2
3
129
259
28
37
14
52
21
42
4
28
56
25
29
58
28
23
47
11
55
50
45
30
60
90
5
11
17
43
26
10
20
41
2
40
20
0
8
17
26
59
59
58
30
0
30
72
90
108
332
146
319
49
2
14
46
12
39
11
44
16
16
5
55
42
52
3
0
30
0
4
5
6
158
288
57
29
6
44
25
47
8
53
22
50
57
26
56
35
59
23
40
35
30
120
150
180
22
28
34
53
36
20
22
43
4
40
20
0
35
44
53
58
57
57
0
30
0
126
144
162
132
305
118
27
39
51
5
32
58
49
22
55
44
33
22
13
24
34
30
0
30
7
8
9
187
316
86
21
58
36
30
51
13
19
47
16
25
55
24
47
11
35
25
20
15
210
240
270
40
45
51
3
46
30
24
45
6
41
21
1
2
11
20
56
56
55
30
0
30
180
198
216
292
105
278
4
16
29
25
52
18
28
1
33
11
0
50
45
55
6
0
30
0
10
11
12
216
345
115
13
50
28
34
56
17
44
13
41
53
23
52
59
23
47
10
5
0
300
330
360
57
62
68
13
56
40
26
47
8
41
21
1
29
38
47
55
54
54
0
30
0
234
252
270
91
264
78
41
54
6
45
11
38
6
39
12
39
28
17
16
27
37
30
0
30
13
14
15
245
14
144
5
43
20
39
0
22
10
38
7
22
51
20
10
34
58
55
50
45
Motus Lune medius in longitudine loci sui a Sole in diebus
Dies
Partes
Minuta
Secunda
Tertia
Quarta
Quinta
Sexta
288
306
324
251
64
237
19
31
43
4
31
57
45
17
50
6
55
45
48
58
9
0
30
0
16
17
18
273
43
173
57
35
12
43
5
26
35
4
32
50
19
49
22
46
10
40
35
30
1
2
3
12
24
36
11
22
34
26
53
20
41
22
4
20
40
0
17
35
53
59
58
57
342
360
378
50
224
37
56
8
21
24
50
17
23
56
29
34
23
12
19
30
40
30
0
30
Motus Lune medius in longitudine loci sui a Sole in horis
4
5
6
48
60
72
45
57
8
46
13
40
45
26
8
21
41
1
11
29
47
56
55
54
Hore
Partes
Minuta
Secunda
Tertia
Quarta
Quinta
Sexta
Septima
Octava
396
414
432
210
23
196
33
46
58
44
10
37
2
34
7
1
51
40
51
1
12
0
30
0
1
2
3
0
1
1
30
0
31
28
57
25
36
13
50
43
26
10
20
41
1
44
29
14
57
55
52
30
0
30
7
8
9
84
96
109
20
31
43
6
33
0
49
30
12
22
42
2
5
23
41
53
52
51
450
468
486
10
183
356
11
23
35
3
30
56
40
13
46
29
18
7
22
33
43
30
0
30
4
5
6
2
2
3
1
32
2
54
23
51
26
3
40
53
36
20
22
43
4
59
44
29
50
47
45
0
30
0
10
11
12
121
134
146
54
5
17
26
53
20
53
34
16
22
43
3
59
17
35
50
49
48
504
522
540
169
343
156
48
0
13
†…†3 The first digit is illegible. The Greek text has a 2 as first digit (see Toomer, loc. cit., p. 183).
49
16
18
51
24
56
46
35
54
4
15
0
30
0
7
8
9
3
4
4
33
3
34
20
48
17
17
53
30
3
46
30
25
46
7
14
59
44
42
40
37
30
0
30
13
14
15
158
170
182
28
40
51
46
13
40
57
38
20
23
44
4
53
11
29
47
46
45
558
576
594
329
142
315
25
38
50
42
9
36
57
30
3
24
13
2
25
36
46
30
0
30
10
11
12
5
5
6
4
35
5
46
14
43
7
43
20
13
56
40
27
48
8
29
14
59
35
32
30
0
30
0
16
17
18
195
207
219
3
14
26
7
33
0
1
42
24
24
45
5
47
5
23
44
43
42
612
630
648
129
302
115
3
15
27
2
29
55
35
8
41
51
41
30
57
7
18
0
30
0
13
14
15
6
7
7
36
6
37
11
40
9
57
34
10
23
6
50
29
50
11
44
29
14
27
25
22
30
0
30
19
20
21
231
243
256
37
48
0
27
53
20
5
46
28
25
45
6
41
59
17
41
40
39
666
684
702
288
101
275
40
52
5
22
48
15
14
47
19
19
8
57
28
39
49
30
0
30
16
17
18
8
8
9
7
38
8
37
6
35
47
24
1
33
16
0
31
52
13
59
44
29
20
17
15
0
30
0
22
23
24
268
280
292
11
23
34
47
13
40
9
50
32
26
46
7
35
53
11
38
37
36
720
738
756
88
261
74
17
30
42
41
8
34
52
25
58
47
36
25
0
10
21
0
30
0
19
20
21
9
10
10
39
9
40
3
32
0
37
14
51
43
26
10
34
54
15
14
59
44
12
10
7
30
0
30
25
26
27
304
316
329
46
57
9
7
33
0
13
54
36
27
47
8
29
47
5
35
34
33
774
792
810
247
61
234
55
7
19
1
28
54
31
4
36
14
3
52
31
42
52
30
0
30
22
23
24
11
11
12
10
40
11
29
58
26
27
4
41
53
36
20
36
57
17
29
14
59
5
2
0
0
30
0
28
29
30
341
353
5
20
31
43
27
53
20
17
58
40
28
48
8
23
41
59
32
31
30