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star at the port of destination;  they then  set                                        And when  Vasco da Gama showed him  the
          course eastward.                                                                        large astrolabe of wood that he had with  him,
            This technique was first  adopted about  1460                                         and others  of metal with which he measured
          and is associated with the  Portuguese navigator,                                       the altitude of the sun, the  Moor  [that is, the
          Diogo Gomes.  The navigators used a simple                                               mu'allim]  was not impressed, saying that
          altitude-measuring instrument  known as a                                                some navigators of the  Red Sea used brass
          quadrant, which consists of a small plate of                                            instruments  of triangular shape and quad-
          wood or brass in the  form  of a quarter disk with                                       rants with which they measured the altitude
          a scale of degrees engraved along the  curved                                           of the  sun,  and especially of the  star which
          edge, a plumb-line and bob suspended from  the                                          they  most used in navigation. But he, and the
          apex, and a pair of pinhole  sight  vanes  attached                                     mariners  of Cambay  and  of the  whole of
                                    24
          at either  end  of one  of the  radii.  By sighting                                     India, because their navigation was by means
          the polestar through  the pinhole sights, holding                                       of certain stars, both  of the  north[ern]  and of
          the quadrant as near to the vertical as possible,                                       the south[ern  hemispheres], and other
          and letting the plumb-line hang freely,  naviga-                                        important  [stars] which moved along the
          tors could read the  altitude of the  star from  the                                    middle of the  sky from  east to west, did not
          degree scale.  This was difficult  on board a                                           measure its distance [that is, the  altitude of a
          moving ship, particularly in adverse weather,  fig.  2. Mariner's  Astrolabe. Shown being used to  star] by instruments  like those, but by one
          although  a series  of observations  made at short  determine the meridian altitude of the sun.  From  which he himself  used;  which instrument  he
          intervals could be averaged to improve accuracy.  Pedro de Medina, Regimiento de navegacion (Seville,  took the  opportunity  to  show, which was of
                                                             16
                                                     1563), fol.
          Furthermore, an overcast sky might  render  the                                         three tablets.  And because we describe the
          polestar  invisible  for long periods,  and  rough                                      shape and use of these in our  Geography,  in
          seas and winds might  make keeping a set course  instrument,  apparently used by medieval  the  chapter on instruments of navigation, it is
          impossible.  In the fifteenth  century, the pole-  astronomers, but is broadly inspired by the  only necessary to know here that they use
          star was not,  as it is today, displaced from  the  shape and construction of the  well-known  plan-  them for the technique which among us is
          celestial pole by about a degree of arc; owing  to  ispheric astrolabe. In the mariner's astrolabe  now done with  the instrument  that  mariners
          the  constant shift  of about one degree in  this is reduced to a simple measuring device for  call a cross-staff,  which will also be explained
          seventy years,  it was several degrees off and  altitude (or zenith distance) suitable for ship-  and  [an account given of] its inventors  in  the
          appeared, like the other  stars, to rotate  about  board use, and there is no stereographic pro-  chapter we have referred  to. 30
          the pole.  This problem was resolved by the  use  jection of the  celestial sphere,  or rotatable  star
                                               7
          of mnemonic diagrams, called rodas  ("wheels' ),  map  (rete).  From the  suspension rings hangs a  This instrument  "of three tablets"  is now
                                                                                                                         1
          giving the  altitude in degrees of the  polestar at  cast, wheel-shaped body, sections of which  are  usually referred  to as a kamdl?  It was a simple
          successive positions  during this apparent  rota-  left  open to offer  the  least wind resistance  and  altitude-measuring device consisting of three
          tion.  To use  a similar form  of altitude naviga-  made heavy to help it hang vertically;  there is  small rectangular wooden boards of  different
          tion in daylight,  it was necessary to measure  the  an alidade (sighting rule) movable over a scale  sizes, each with  a central hole to which was atta-
          altitude of the  sun  at noon  and to use tables  of degrees, with the  sight vanes placed near  the  ched a string.  The string was knotted  at inter-
          giving solar declination (regimentos)  through-  center to facilitate  solar observations. 27  vals, the  position  of the knots representing
          out the year in a particular latitude.  Because it  On the voyage which took him to India,  altitudes in  isba'  (finger  [breadth]) or, alterna-
          is not  safe to look through  sight vanes directly  Vasco da Gama brought with  him,  as well as
          at the sun, navigators measured its altitude by  small brass astrolabes of unknown  type,  a large  Meth&d'0fu*ri &  the Instrument,
                                                                                                               n
          holding  the quadrant so that the sunlight pass-  wooden  astrolabe,  which  may have  resembled
          ing through  the pinhole in the  foresight fell  those used by medieval astronomers.  This he
          exactly on that  in the backsight (or so that  the  used for the  determination of latitude in  1497  at
          shadow of the  foresight fell squarely on  the  the bay of Saint Helena  (southern  Africa),
          backsight). 25                             where it was suspended from  a tripod on land
            The altitude in degrees of the  celestial pole  because of the  difficulties  in making accurate
          above the  horizon  at a given place is, of course,  solar observations at sea. From such rough
          the latitude of that  place. The primitive altitude  beginnings, commented the Portuguese  histo-
          navigation was soon developed to "run  down"  rian Joao de Barros (c. 1496-1570), began  the
          the latitude and use latitude data more  gen-  technique that became so valuable for naviga-
                                                         28
          erally;  diagrams and tables were improved and  tion.  The following year, at Malindi on  the
          instruments  specially  devised  for mariners.  Pos-  east coast of Africa,  Vasco met  a mu'allim
          sibly the earliest such instrument  was the  (ship's captain) from  Gujerat who was to pilot
          mariner's astrolabe, although  it is not  known  him  across the  Indian Ocean.  Even if this
          exactly when  it was first used;  the  earliest and  manner was not, as has often  been claimed, the
          rather crude illustration  occurs in Alessandro  famous  navigator Ahmad b.  Majid  (fl.  1460-
          Zorzi's letter  of  1517,  and the  oldest surviving  1550)  himself, he had no doubt learned oral rut-
                                                                                                                  Fig.
                                                                                                                    8.
          mariner's astrolabe is Portuguese and dated  ters  (sailing directions) similar to those for  fig.  3. Instrument  used to ascertain altitude.  From
                                                                                    29
              26
          154O.  The mariner's astrolabe resembles most  which Ahmad b.  Majid  is well known.  Barros  Gabriel Ferrand, Introduction  a I'astronomic nautique
          closely  a simple  circular altitude-measuring  described Vasco's encounter with the  mariner.  arabe (Paris, 1928), 26
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