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tively, the altitude of the  polestar in a particular                                 hour, which is 28 miles."  Columbus  had with
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             place.  Choosing the  most appropriately sized                                        him more than one marine compass, and it is
             board, the  navigator held it so that  the lower                                      possible that  the peculiar behavior of these  com-
             edge appeared to lie on the horizon and the                                           passes recorded in an entry  in the journal
             upper to touch the celestial body to be observed,                                     resulted from  his crossing the agonic line (line
             then  held the string taut against his nose or                                        of zero magnetic declination; the  declination at
             between his teeth.  The knot nearest to his  face                                     the time was about eleven and one quarter
             indicated the altitude. The origin and history of                                     degrees in northwestern  Europe), and that  other
             the  kamal is obscure, but  it may derive from a                                      problems  Columbus had with his compasses
             similar Chinese device. Its importance in  the                                        arose from  his having brought with him Flem-
             history  of European navigation lies in its possi-                                    ish and Genoese compasses whose makers
             ble influence on the  development  of the  cross-                                     adopted different  values  for the  declination  in
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             staff  for nautical use. Kamdls  were brought                                         setting the  fly.  For the  early part of his  voyage,
             back to Portugal and are mentioned,  together                                         Columbus had some sort of chart, and he pro-
             with conversions of the  isba  to degrees of arc,                                     posed to make a new navigational chart.  To
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             in the sixteenth-century  navigational treatises                                      this extent, he had not progressed beyond the
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             of Andre Fires and Joao de Lisboa.  The  cross-                                       first technological revolution in navigation.
             staff  was an old instrument;  it was probably  fig.  4. Cross-staff used for determining the altitude  But Columbus did notice the  apparent rota-
             invented by Levi ben Gersom  (1288-1344), a  of the  Polestar, when the Guards are in  a particular  tion  of the polestar about the  celestial pole, and
             Jewish philosopher  and scientist  from  southern  position. From Pedro de Medina, Regimiento de  may have used a mnemonic diagram  of the  posi-
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             France, whose treatise was translated  from  navegacion (Seville, 1563),  fol.  36    tions of a  and  (3  Ursae  minor is,  and he  thus
             Hebrew into Latin in  1342.  Although popular                                         joins his Portuguese contemporaries at the
            with astronomers — it was, for example, used by                                        beginnings  of astronomical navigation.  Of
             Bernhard Walther, patron of the  astronomer  "shadow instrument"  (estormento  de sombras)  astronomical instruments,  we read that  "he has
             Regiomontanus, for observations in Nuremberg  during his voyage to Goa in  1538 —a culmina-  suspended the use of the quadrant until he
             from  1476  to  1504 —nothing suggests that it  tion, indeed, of the  application of science to  reaches land and can repair it"; later, that  "he
            was used at sea before the  sixteenth  century,  navigation. 35                        found  from  his quadrant that he was 34 degrees
             although  it was certainly in use by 1524.  The  The first  voyage of Columbus in  1492 places  [in fact nearly  20° N] from  the  equinoctial line";
             cross-staff  was usually of hardwood,  sometimes  him at the midpoint in this technological devel-  and then that the "north star seemed to him to
             of brass, and consisted of a square-sectioned  rod  opment.  He had with him a number of instru-  be as high  as at Cape St Vincent... [but he]
             (the "staff")  with a sliding  cross-bar  (the  mental  aids.  Their value to him,  as revealed  in  could not measure its elevation with the astro-
             "transversary"). It could be used vertically or  the journal of his first  voyage, appears ambigu-  labe nor the quadrant because the waves would
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            horizontally  to measure angular distances, by  ous, his instinctive seamanship often  in  conflict  not let him."  What  sort of astrolabe this was
            holding the  end of the  staff  to the  eye and  with the data he obtained from  the  instruments.  remains unknown.
            sliding the transversary  until its extremities  The journal includes many observations of  "The American," wrote the philosopher
            appeared to touch the objects between which  the  flocks of birds (and in one place notes that  he  Georg Christoph Lichtenberg, sometime
            angle was to be measured. 33                knew that  the Portuguese had discovered most  between  1779  and  1783,  "who  first discovered
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              By the  end of the  fifteenth  century, then,  of the  islands they  held by observing the flight  Columbus made a bad discovery."  This aware-
            instruments  were being adapted or invented  for  of birds) and records how Columbus  changed  ness of the  interaction and conflict  of cultures
            the purposes of the  new astronomical naviga-  course because of these observations.  Sticks  as a result of European mercantile and  mission-
            tion.  There was no nascent  instrument-making  floating in the  sea are also noted as evidence of  ary  expansion is a dominant theme  of this
            industry  in Portugal  or Spain,  so the  manufac-  land, and the  presence of rock weed and reeds is  exhibition.  This brief  essay has not sought  to
            ture and certification of instruments  for naviga-  mentioned;  the  lesser saltiness of the  sea near  trace in time or space the  stages of Portuguese
            tors was controlled by the  cosmographers,  land is commented upon.  Columbus' use of the  or Spanish colonial enterprise along the  coast of
            unlike in the Netherlands  and in England.  lead and line is evidenced by references to  the  Africa,  to farther Asia, or to the Americas,  but
            There instrument-making  workshops existed to  seabed being sandy, not  rocky, at a depth of  fif-  rather to consider the intellectual endeavor
             fill the demand that  arose later in the  sixteenth  teen or sixteen fathoms;  to the  existence of a  engaged, to borrow the words of Borges, in
            century, when the  navigators of those  countries  good entrance to the mouth  of a river found  by  "deciphering the  magical alphabet of the  stars in
             came to adopt astronomical techniques and  taking soundings;  and to the sea bottom being  other latitudes." 43
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            instruments, first based on the  Iberian  experi-  beyond  a forty-fathom plumb-line.  He
            ence and then  on their  own technical contribu-  apparently used half-hour sandglasses:  "Here
            tions.  The appointment  in  1529  of Pedro Nunes  the Admiral measured the length  of the day and
            (1502-1578) as royal cosmographer  introduced  night in hours, and found that from  sunrise  to  NOTES
            into Portuguese navigation a truly  mathematical  sunset was 20 half-hour glasses, although  he  i.  Fernando Pessoa  (1888-1935).  "Mar portugues,"
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            overview of the  colonial enterprise.  Nunes  says that there  could be an error either because  Mensagem  xxx: 'O salty sea, how much of your salt
                                                                                                                      .
            became professor of mathematics  at Coimbra by  they do not turn  the  glass soon enough or  / Are tears of Portugal/ .. Was it worth it? Every-
            1544  and chief  royal cosmographer in  1547;  because some of the  sand has not passed  thing is worthwhile / If the soul is not mean.  /
                                                                                                     ... God gave the sea danger and depth / But in it
            among his pupils were the astronomer  Chris-  through"; and  "he sailed for about 14 half-hour  mirrored the  sky", quoted from  F. E. G.  Quinta-
            toph Clavius and also the  naval commander Joao  sand-glasses  or a little  less until  the  end of the  nilba, ed.  & trans., Fernando  Pessoa. Sixty  Portu-
            de Castro, who tested Nunes' newly  devised  first quarter watch, and made about 4 miles an  guese Poems  (Cardiff,  1971), 46-47.


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