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I would like to know the name of the device Ptolemy is holding in his picture

enter image description here

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It is called "Jacob's staff". It was an old astronomical tool used for trigonometric purposes.

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This device was invented by a Jewish Rabbi, Levi Ben Gershon. It was used to measure the angular distance between two stars or, in general, any pair of celestial bodies. Ptolemy lived 1000 years before the invention, so this is only the product of the artist’s fantasy.

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    $\begingroup$ ... and in Ptolemy's time they did not write numbers like 10, 20, 30 $\endgroup$ – Gerald Edgar Jun 22 '16 at 13:18
  • $\begingroup$ @GEdgar: I agree $\endgroup$ – Riccardo.Alestra Jun 22 '16 at 13:27
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    $\begingroup$ @Riccardo.Alestra A Jewish Rabbi, as opposed to one of those Muslim rabbis I suppose $\endgroup$ – Omnomnomnom Jun 22 '16 at 21:57
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    $\begingroup$ @Omnomnomnom In the medieval period, an Islamic "mufti" (مفتي‎‎) would have had a very similar role in the community to a Jewish "rabbi" (רַבִּי) — interpreting religious law and applying it to disputes — and it wouldn't have been ridiculous to use each term to translate the other. $\endgroup$ – zwol Jun 23 '16 at 16:40
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And this tool has been known under many other latin names than baculus Jacob: radius astronomicus (astronomic ray), crux geometrica (geometrical cross), revelatorem secretorum (secret decipherer). It is the hand-held version, a mounted version exists.

A collection of studies on Gersonides is found in G. Freudenthal (ed.), Studies on Gersonides. A Fourteenth Century Jewish Philosopher. And in the most accessible 1981 paper by J. Roche, The radius astronomicus in England, Annals of Science, vol. 38:

Abstract: This survey traces the history of the astronomer's cross staff on the Continent from Levi ben Gerson to Gemma Frisius, in England from John Dee to John Greaves, and again on the Continent from Tycho Brahe to Adrian Metius. The emphasis throughout is on sources and influences, on distinguishing the various kinds of cross staff, and on clarifying terminology.

It has been used in navigation, perhaps as an upgraded version of the kamal.

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