Euclid’s Proposition 1: A More Detailed Discussion

Euclid is one of the greatest mathematician of all time. His greatest achievement was writing the Elements which contains many theorems and propositions collected by Euclid, and many of which he supposedly proved. What is great about Euclid’s work was that he developed the Elements in an axiomatic way, a feat that was never before done in his […]
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Equilateral Triangle and Euclid’s First Proposition

The first theorem in Euclid’s Elements is about the construction of an equilateral triangle. To construct equilateral triangle , let be a line segment.  Construct a circle with center passing through . Next, construct another circle with center passing through . Let be one of the intersections of the two circles as shown in the […]
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The Five Postulates: Where It All Began

Euclid was a Greek mathematician who organized the known mathematical theorems during his time as well as formulated and proved many of his own. These theorems were written in  Elements. In the Elements, Euclid developed the five postulates or axioms, in which all theorems were deduced. The Elements was used by many schools for more […]
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