PAL

Ptolemaeus Arabus et Latinus

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Erasmus Oswald Schreckenfuchs, In Almagesti priores tres libros annotationes

Basel, Henricus Petri, 1551 · C4r

Facsimile

secunda linea. Et si numerus tuus excesserit 90 gradus, tunc tunc] tuuc B aufer eum a 180 gradibus, reliquum quaere modo dicto, ut. Volo scire quanta sit declinatio Solis si destiterit a sectione vernali 165 gradus, hoc est cum fuerit in 15 gradibus Virginis, hos gradus subtraho a 180 gradibus et relinquuntur 15 gradus, e quorum regione reperiuntur in secunda linea 6 gradus 0 minuta 30 secundae. Postremo, si numerus tuus maior erit 180 graduum, subtrahito eum a 360 gradibus, cum reliquo operare quemadmodum instructus est: hactenus de usu huius tabulae.

〈I.14〉 Caput XIIII

Sequitur ut una］ Calculaturus exempla dieresis per modum subtractionis, paulo aliter tibi operandum erit quam supra instructus es in calculatione exemplorum syntheseos: de hoc habeas tale documentum, scilicet: duc primum terminum rationis auferendae in secundum alterius, productum statue primum numerum.
F B
B A
F I
T I
T E
E A
Arcus
132° 17ʹ 20ʹʹ
47° 42ʹ 40ʹʹ
132° 19ʹ 10ʹʹ
47° 40ʹ 50ʹʹ

180°
Chordae
109° 44ʹ 53ʹʹ
60°
48° 31ʹ 55ʹʹ
60°
109° 45ʹ 39ʹʹ
60°
48° 30ʹ 9ʹʹ
60°
120°

9 5 4 0


2 8 8 0


6 5 4 0


2 8 8 0



4 4

3 1

4 5

3 0
Solutio
6 5 8 4


2 9 1 1


6 5 8 5


2 9 1 0


6 0


6 0


6 0


6 0

3 9 5 0 4 0

1 7 4 6 6 0

3 9 5 1 0 0

1 7 4 6 0 0

5 3


5 5


3 9


9

3 9 5 0 9 3

1 7 4 7 1 5 0

3 9 5 1 3 9

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

1 7 4 7 1 5


╳

Ordinatio numerorum
3 9 5 1 3 9

1 7 4 6 0 9


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







Divisor

1 9 7 5 6 9 5

3 5 5 5 8 3 7

3 9 5 1 3 9

2 3 7 0 5 5 8 0

2 7 6 5 9 7 3

1 5 8 0 3 7 2

1 5 8 0 5 5 6

2 7 6 5 6 5 1

2 7 6 5 9 7 3

3 9 5 0 9 3

3 9 5 1 3 9

6 9 0 7 6 7 1 0 3 8 5
1 2 0
6 8 9 8 6 7 9 3 6 3 7
Multiplicandus



numerus
1 2 0

Multiplicans


1 3 7 9 7 3 5 8 7 2 7 4 0
6 8 9 8 6 7 9 3 6 3 7

8 2 7 8 4 1 5 2 3 6 4 4 0
Dividendus numerus
0




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

1 4

0
1
3 5 6

1 6
6 6 3 4 7 3

4 3 2


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

1 7 4 4 7 8 7 7 0 7 1 7
2 3 8 5 8 4 4 1 9 8 9 9 5
8 2 7 8 4 1 5 2 3 6 4 4 0
gradus
119

4 5

5

1
5 6

2 1 4 1
6 9 0 3 6 7 1 0 3 8 5 5 5
6 9 0 3 6 7 1 0 3 8 9
6 9 0 3 6 7 1 0 3



5 4 4 7 1 5 1 8 5 2 0


8 2 7 9 4 2 2 9 7 4 4 5
Secundae

3 2 8 9 1 8 0 6 0 2 6 0 0
47
6 3 0 4 6 7 0 0 6 2 5
6 0



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


3 7 8 2 8 0 2 0 3 7 5 0 0





1 9

6
Chorda arcus duplicis

Arcus duplex
119° 54ʹ 47ʹʹ

175° 38ʹ
5

8 2 2 6 7 7
1

9 4 9 4 6 7 1 8 7 3
3 3 1 3 6 7 5 2 2 2 5
3 7 8 2 8 0 2 0 3 7 5 0 0
minuta
54

Dimidium
87° 39ʹ
6 9 0 3 6 7 1 0 3 8 5 5
6 9 0 3 6 7 1 0 3 8


Tantus est arcus ET, qui quaerebatur, hoc est ascensio recta quae respondet praepositis 88 gradibus

Postea, duc terminum