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In the third postulate, Euclid states that a circle may be drawn with any center and distant (that is radius.) A compass, for example, demonstrates this postulate. When one draws a circle using a compass, one is plotting all the points a certain distance ?r' from the center point. In the next postulate, all right angles are equal to one another. In the last postulate, it states that through a given point not on a given line exactly one line can be drawn parallel to a given line.
Euclid's best-known work, The Elements has survived for over 2000 years and the compilation became the focus of mathematical teaching...
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