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          Trigonometry
           
          Part 1 of Essay 
 uses the fact that ratios of pairs of sides of triangles are
functions of the angles.  The basis for mensuration of triangles is the right-
angled triangle.  The term  means literally the measurement of
triangles.   is a branch of mathematics that developed from simple
measurements.
A theorem is the most important result .... 
          Part 2 of Essay ....  their
societies?  In "Geometry and Algebra  in Ancient Civilizations", the author
discusses  who originally derived the Pythagorean Theorem.  He quotes Proclos, a
commentator of Euclid's elements, "if we listen to those who wish to recount the
ancient history we may find some who refer this theorem to Pythagoras, and say
that he sacrificed an ox in honor of his discovery".  If this statement is
considered as a statement of fact, it is extremely improbable, for Pythagoras
was opposed to the sacrifice of animals, es .... 
          Word count: 534 | Approximate pages: 2
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