Roger Bailey wrote:

> [...] When was the axial gnomon invented? The hemispherium was
> used by the Babylonians and the armillary sphere by the Alexandrian Greeks.
> It is a small step from these instruments to the equatorial dial with an
> axial gnomon, but who first used the axial gnomon with the hour angle reduced
> to the plane? I have two vague references. In "Mathematics for the Million",
> Lancelot Hogben credits the Moslems, depicts a "Moorish" sundial and
> obliquely refers to a dial at the great Moorish university that flourished in
> the tenth century in Seville.
> [...]
> A slightly better reference is in the wonderful picture book by Pierre
> Putelat "Cadrans Solares des Alpes". In the 'petit historique' he notes that
> "Abdul Hassan Ali in Morocco about 1200 wrote a great thesis dedicated in
> part to sun dials. He speaks of the style inclined in accordance with the
> axis of the earth." Earlier references to Moslem dials usually show a
> vertical gnomon and mark prayer times when the shadow lengths are one and two
> times the gnomon height.
> [...]


Dear all,

The above-quoted treatise by Abu Ali al-Hasan ibn Ali ibn Umar al-Marrakusi
(fl. first half 13th century) was partly published in a French translation in:

  Jean-Jacques Sédillot & Louis-Amélie Sédillot, Traité des
  instruments astronomiques des Arabes composé au treizième
  siècle par Aboul Hhassan Ali, de Maroc, 2 vols. (L'Imprimerie
  Royale, Paris, 1834/35) [reprinted in 1984 by Fuat Sezgin,
  Veröffentlichungen des Institutes für Geschichte der Arabisch-
  Islamischen Wissenschaften an der Johann Wolfgang Goethe-
  Universität (Frankfurt am Main)].

The whole second volume of this work is devoted to tracing hour lines on plane,
cylindrical, concave and convex surfaces with gnomons in any conceivable
orientation.

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