COMPLEX NUMBER THEORY ON OPERATIVE TRIGONOMETRY

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COMPLEX NUMBER THEORY ON OPERATIVE. TRIGONOMETRY. Ozan Hasimi Misirki OKTAR. javaquant@yahoo.com. INTRODUCTION. Trigonometry reached Europe in the medieval …

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COMPLEX NUMBER THEORY ON OPERATIVE
TRIGONOMETRY
Ozan Hasimi M??ki OKTAR
javaquant@yahoo.com
INTRODUCTION
Trigonometry reached Europe in the medieval times. Richard of Wallingford wrote a text on
trigonometry, Quadripartium. He related the Indian sine to the ancient chords. He used
Euclid’s Elements as a basis for his arguments in plane trigonometry. Levi ben Gerson worked
on plane trigonometry, particularly the laws of sines and cosines. In the 16th century,
trigonometry was incorporated into geography and navigation. Knowledge of trigonometry
was used to construct maps, determining the position of a land mass in relation to the
longitudes and latitudes. Johannes Muller, or more popularly known as Regiomontanus, wrote
a text On Triangles. He studied plane trigonometry, including results for solving triangles. He
expanded on Levi ben Gerson’s work. He proved the Sine Rule, and also considered the
ambiguous case in using the rule. Later works improved the tables of sines, which has been
worked on extensively; as well as included tables for the other functions. Thomas Finck was
the first to use the modern terms “tangent” and “secant”. The workd so far applied
trigonometric concepts in astronomy. It was only until Bartholomew Pitiscus when there was
a text…