Published Paper Details:

In Greek Geometry, we would further go through the Deductive method, Regular Polyhedra, Ruler and compass construction, conic sections, Higher degree curves. Book I to VI and further book X to XIII of Euclid's Element have been studied in depth. We have seen how Euclid's Elements remained not only the core of mathematical education, but also at the heart of western culture, we have looked into scholarly and personal discovery of Euclid's text. Book I to IV and VI discuss plane geometry. In this sections many results about plane geometry are proved e.g. if a triangle has two equal angles, then the angles subtended by the sides are equal. Book V and VII to X deal with number theory, with numbers treated geometrically via their representation as line segments with various lengths. Book XI- XIII concern solid geometry. A typical result is the 1:3 ratio between the volume of a cone and cylinder with the same height and base. This result has been found here.