Mathematical Aspects B.C.
Thales of Miletus.
According to a legend Thales was a clever man, who said to have learned much from the Egyptians and Babylonians, He is reputed to havedemonstrated that the angle inscribed in a semicircle is a right angle (Theorem of Thales) and put down a series of rules about the angles of triangles. He was reported to have measured the height of thePyramids by comparing the length of their shadows to that of a vertical stick. At the moment the length of the stick’s shadow was equal to its height, the length of the Pyramids’ shadow would indicate it’sheight made around (624-548 BCE) Thales also broke away from the rigidity of using geometry solely for measurement and tried to apply it in practical methods.
Pythagoras of SamosPythagoras was one of the most influential persons of his period, having a say not only in mathematics but also in astronomy and religion. Pythagoras probably proved that the plane space around apoint could be divided into six equilateral triangles, four squares or three regular hexagons; and that the sum of angles of a triangle was half the central angle of a circle.
Though fewmathematical discoveries can be directly attributed to Pythagoras, it was the Pythagoreans who linked mathematics with everything else in the universe. They saw numbers in life, nature and religion and helpedmake mathematics a liberal science. His Theorem made somewhere around 580 and 500.BCE: The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c).[pic] [pic]
Ancient Greek mathematicians first studied what we now call the golden ratio because of its frequent appearance in geometry. The Greeks usually attributed discoveryof this concept to Pythagoras (580-500 BCE). The golden section is a line segment divided according to the golden ratio. The total length a + b is to the longer segment a as a is to the shorter...
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