PAL

Ptolemaeus Arabus et Latinus

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Ptolemy, Almagesti (tr. Gerard of Cremona)

Venice, Petrus Liechtenstein, 1515 · 7v

Facsimile

Residuum tabularum chordarum arcuum semicirculi una cum excessuum earundem parte tricesima, unius videlicet minuti arcuum portiuncule debita

Tertia
Quarta
Tabula tertia chordarum arcuum medietate et medietate partis superfluentium
Pars tricesima superflui quod est inter omnes duas chordas, et est portio arcus unius minuti
Tabula quarta chordarum arcuum medietate et medietate partis superfluentium
Pars tricesima superflui quod est inter omnes duas chordas, et est portio arcus unius minuti
Arcus
Chorde
Arcus
Chorde
Partes
Minuta
Partes
Minuta
Secunda
Partes
Minuta
Secunda
Tertia
Partes
Minuta
Partes
Minuta
Secunda
Partes
Minuta
Secunda
Tertia
45
46
46
30
0
30
46
46
47
24
53
22
19
16
9
0
0
0
0
0
0
57
57
57
54
46
42
68
68
69
0
30
0
67
67
67
6
32
58
12
12
8
0
0
0
0
0
0
52
51
51
0
52
42
47
47
48
0
30
0
47
48
48
51
19
48
0
47
30
0
0
0
0
0
0
57
57
57
34
26
22
69
70
70
30
0
30
68
68
69
23
49
15
59
45
27
0
0
0
0
0
0
51
51
51
32
24
14
48
48
49
30
0
30
49
49
50
17
45
14
11
48
21
0
0
0
0
0
0
57
57
57
14
5
0
71
71
72
0
30
0
69
70
70
41
6
32
4
36
3
0
0
0
0
0
0
51
50
50
4
54
46
50
50
51
0
30
0
50
51
51
42
11
39
51
18
42
0
0
0
0
0
0
56
56
56
57
48
36
72
73
73
30
0
30
70
71
71
57
22
47
26
44
56
0
0
0
0
0
0
50
50
50
36
24
16
51
52
52
30
0
30
52
52
53
8
36
4
0
16
29
0
0
0
0
0
0
56
56
56
32
26
18
74
74
75
0
30
0
72
72
73
13
38
3
4
7
5
0
0
0
0
0
0
50
49
49
6
56
46
53
53
54
0
30
0
53
54
54
32
0
28
38
43
44
0
0
0
0
0
0
56
56
55
10
2
56
75
76
76
30
0
30
73
73
74
27
52
17
58
46
29
0
0
0
0
0
0
49
49
49
36
26
16
54
55
55
30
0
30
54
55
55
56
24
52
42
36
26
0
0
0
0
0
0
55
55
55
48
40
32
77
77
78
0
30
0
74
75
75
46
6
31
7
39
7
0
0
0
0
0
0
49
48
48
4
56
44
56
56
57
0
30
0
56
56
57
20
47
15
12
54
33
0
0
0
0
0
0
55
55
55
24
18
8
78
79
79
30
0
30
75
76
76
55
19
43
29
46
58
0
0
0
0
0
0
48
48
48
34
24
14
57
58
58
30
0
30
57
58
58
43
10
38
7
38
5
0
0
0
0
0
0
55
54
54
2
54
44
80
80
81
0
30
0
77
77
77
8
32
56
5
6
2
0
0
0
0
0
0
48
47
47
2
52
40
59
59
60
0
30
0
59
59
60
5
32
0
27
45
0
0
0
0
0
0
0
54
54
54
36
30
22
81
82
82
30
0
30
78
78
79
19
43
7
52
38
18
0
0
0
0
0
0
47
47
47
32
20
8
60
61
61
30
0
30
60
60
61
27
54
21
11
17
19
0
0
0
0
0
0
54
54
53
12
4
56
83
83
84
0
30
0
79
79
80
30
54
17
52
21
45
0
0
0
0
0
0
46
46
46
58
48
36
62
62
63
0
30
0
61
62
62
48
15
42
17
10
0
0
0
0
0
0
0
53
53
53
46
40
30
84
85
85
30
0
30
80
81
81
41
4
27
3
15
22
0
0
0
0
0
9 Probably corrupt for 0, which is also the reading of Paris, BnF, lat. 14738 (11r, line 10 from the bottom) and of the Greek text (see Toomer, loc. cit., p. 58, line 10 from the bottom).
46
46
46
24
14
4
63
64
64
30
0
30
63
63
64
8
35
2
45
26
2
0
0
0
0
0
0
53
53
53
22
12
4
86
86
87
0
30
0
81
82
82
50
13
36
24
19
9
0
0
0
0
0
0
45
45
45
50
40
30
65
65
66
0
30
0
64
64
65
28
55
21
34
1
24
0
0
0
0
0
0
52
52
52
54
46
38
87
88
88
30
0
30
82
83
83
58
21
44
54
33
6
0
0
0
0
0
0
45
45
44
18
6
56
66
67
67
30
0
30
65
66
66
47
13
40
43
57
7
0
0
0
0
0
0
52
52
52
28
20
10
89
89
90
0
30
0
84
84
84
6
28
51
34
55
10
0
0
0
0
0
0
44
44
44
42
30
20