PAL

Ptolemaeus Arabus et Latinus

_ (the underscore) is the placeholder for exactly one character.
% (the percent sign) is the placeholder for no, one or more than one character.
%% (two percent signs) is the placeholder for no, one or more than one character, but not for blank space (so that a search ends at word boundaries).

At the beginning and at the end, these placeholders are superfluous.

Erasmus Oswald Schreckenfuchs, In Almagesti priores tres libros annotationes

Basel, Henricus Petri, 1551 · E3r

Facsimile

Ordinatio numerorum post resolutionem:

Sinus totus
Excentricitas
Sinus arcus DC

4 3 2 0 0 0
1 5 0
3 4 9 4 9 6
5 0
Sinus totus
Excentricitas
Sinus arcus DC
1 7 4 7 4 8 0 0
4 3 2 0 0 0
1 5 0
2 5 3 9 2 3


3 4 9 4 9 6

1 5 0
5 2 4 2 4 4 0 0
1 2 6 9 6 1 5 0

2 5 3 9 2 3
1


3 8 0 8 8 4 5 0


5

1 6 5

3 3

7
1 9 2 8 2

4 5

8
5 2 4 2 4 4 0 0
121
latus DC
6 6

2 2
2 latus TC
4 3 2 2 2 0 0 0
60
2 1
3 8 0 8 8 4 5 0
8 8 1 28
4 3 3

4 3 2 2 0 0 0
6 0
4

4 3




Si productum lateris TC adieceris semidiametro excentrici TF, creabuntur 61 gradus, 28 minuta tota linea, scilicet FC.



Multiplicatio lineae DC
post resolutionem
Multiplicatio lineae FC in
se post resolutionem

1 2 1
1 2 1

3 6 8 8
3 6 8 8
1 2 1
2 9 5 0 4

2 4 2
2 9 5 0 4
1 2 1

2 2 1 2 8


1 4 6 4 1
1 1 0 6 4

1 3 6 0 1 3 4 4
1 4 6 4 1


1 3 6 1 5 9 8 5
Dispositio numerorum pro indagando angulo DFC post
resolutionem
Extractio radicis duorum
quadratorum post additionem

1
3 6 8 9
2
1 2 0
3
1 2 1
1 2 0

1

6 8

1 7 9 3
linea DF


2 4 2 0


4 0 5 9 5
2

1 2 1


1 3 6 1 5 9 8 5
3 6 8 9
61

1 4 5 2 0


6 6 2 8 6
6 6


3 4 5
7 7 3



4 5 6





Tantus est sinus anguli DFC, cuius
arcus inventus est e tabula
chordarum esse 3 graduum 46
minutorum, quorum medietas est 1
gradus 53 minutorum, angulus
scilicet inaequalitatis DFC cum
Sol destiterit ab auge 54 gradus. Si
hunc angulum subtraxeris a medio
motu 54°, habebis angulum veri
motus ADB 52 graduum 7
minutorum, et sic de reliquis.
5 7 8 3

1 4 5 2 0
3 gradus
3 6 8 9

1 6 2 7

1 4 7 9

2 2 1 5

1 5 3 7 3 6

2 0 7 1 8 0
minuta
3 6 8 9 9
56
3 6 8

2 5 5

3 6 6

1 8 3 4 9
secundae
3 5 7 6 0
9
3 6 8 9

2 1