Chapter Three. The Third Treatise Of The Book Of Euclid On The Elements

Abstract

This chapter discusses the third treatise of the Book of Euclid on the Elements of Geometry. It illustrates thirty-six figure of the third treatise. Euclid said, Circles equal to one another are those whose diameters are equal, and the lines that are drawn from their centers to the circumferences are equal to one another. The second figure of the third treatise illustrates: if two points are given on the circumference of a circle, wheresoever they may fall, and if a straight line connects the two of them, then the straight line that connects the two points falls inside the circle. The fifth figure explores if two circles are tangent to one another, then the two of them do not have a common center.Keywords: Elements of Geometry; Euclid; third treatise