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BOOK REVIEW




                                        “The Measure of All Things:


                                           The Seven-year Odyssey and Hidden Error
                                           That Transformed the World”


                                           Written by Ken Alder
                                           Reviewed by J. J. Waller Jr., MD




                                         It is 1892, in the midst  ically measured line distance between the two angles, thereby de-
                                        of the French Revolution.  termining the third angle of the triangle, and by geometry the abil-
                                        The French Academy of  ity to determine the length of the other two sides.  The reference
                                        Sciences  (existing  since  points or stations would be set up several miles apart along the
                                        the 17th century) has de-  longitude and this would allow multiple triangles to be determined
                                         termined that a new sys-  since the sides of one of the triangles would be known and thereby
        tem of measurements has become necessary.  This fascinating story  the other sides of the progressive triangles could be determined.
        is told in Ken Alder’s book, “The Measure of All Things: The  The stations or measuring points would be mountaintops, tops of
        Seven-year Odyssey and Hidden Error That Transformed the  steeples of churches, the tops of taller buildings or, if necessary, the
        World.”                                                construction of scaffolding reaching several hundred feet in the air
          At  the  time,  there  were  multiple  systems  of  measurement  to mark a determining station.  In this way, the entire distance be-
        throughout the world. Not only did each country have its own  tween Dunkirk and Barcelona could be accurately determined.  In
        system of weights and measures, but generally each state within a  this way, only the original base triangle at each end needed one
        country also had different types of measurements. For example,  side to be accurately measured, and this would be done on a flat
        France had 260 standards producing various results, so the actual  level along a road several miles in length and measured accurately
        value of a bushel or a barrel could vary among areas.  The same  with a ruler to determine the exact length.
        held true internationally, making uniform commerce and trade al-  Multiple sighting stations or points along the route would be
        most impossible and, at the least, extremely complicated.   utilized, but unfortunately not all of the area was flat, and many
          It was decided by a number of savants in various countries that  of the observation points along the way were in mountain passes
        there should be a uniform standard for weights to be calibrated in  or in steep mountain ranges such as the Pyrenees in southern
        grams and lengths to be determined in meters.  A decimal system  France.  Variants in climatic conditions were a hindrance and
        was definitely indicated.  It also was decided that the length of the  made telescopic observations and sightings nearly impossible,
        meter would be 1/10,000,000 of the distance along a meridian of  causing delays of weeks or months until the weather permitted
        longitude between the North Pole and the equator, which would  better observations.
        equal actually 90 degrees of latitude.                  Delambre was assigned to measure the northern half of the
                                                               distance and Mechain was assigned the southern half.  This way
        ASTRONOMERS ASSIGNED                                   they would meet in the middle (somewhere south of Paris), and
          Two men, both accomplished French astronomers, Jean De-  then the entire information accumulated and the distance de-
        lambre and Pierre Mechain, were assigned the task of measuring  termined.  The original estimation of the time required for this
        the distance along the longitude from Dunkirk in northern  task to be performed was one year.  Work started in 1892, and
        France to Barcelona, Spain, running on the longitude through  after multiple delays and complications, it was completed within
        Paris.   The two end points were slightly over 10 degrees of lat-  seven years, in 1899.
        itude apart and were at sea level.  From this distance, the meas-  The two astronomers were entirely different in their tempera-
        urement from the pole to the equator would be extrapolated and  ments. Both were extremely intelligent but Delambre was more
        the meter length determined.                           relaxed, pleasingly aggressive, cooperative, and kind to his associ-
          The distance from Dunkirk to Barcelona would be determined  ates.  He had several scientists assisting him, as did Mechain, and
        by means of geodesic use of triangulation.  A base triangle at each  he shared easily the observational methods with his assistants, shar-
        end would be determined with two measured angles and a specif-  ing his log work and his mathematical calculations as they assem-

         38 San Antonio Medicine   •  February 2014
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