write a brief history on euclid's geometry
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During the fourth and third centuries B.C.E., an Alexandrian Greek named Euclid wrote The Elements, in which he laid down the foundations for working with various two-dimensional and three-dimensional shapes in a study now called geometry. Although most of what he wrote had been discovered before by other mathematicians. Euclid was important because he was the first person to systematize all of the previous observations on geometry into a single coherent system. It was called Euclidean geometry in his honor, though today it is also known as plane geometry, or the study of shapes on flat surfaces.
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Euclid's Geometry.
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☛ Some of Euclid's definitions :
▪️A point is that which has no part.
▪️A line is Breadthless length.
▪️The ends of a line segment are points.
▪️A straight line extends indefinitely in both the direction.
▪️A surface is that which has length and breadth only.
▪️A plane surface is a surface which lies evenly with the straight lines on itself.
☛ Euclid's Axioms ;
▪️Things which are equal to the same thing are equal to one another.
▪️If equals are added to equals, the wholes are equal.
▪️If equals are subtracted from equals the, reminders are equal.
▪️ Things which coincide with one another are equal to one another.
▪️The whole is greater than the part
▪️Things which are double of the same thing are equal to one another.
▪️Things which are halves of the same thing are equal to one another.
_______________________
☛ Some of Euclid's definitions :
▪️A point is that which has no part.
▪️A line is Breadthless length.
▪️The ends of a line segment are points.
▪️A straight line extends indefinitely in both the direction.
▪️A surface is that which has length and breadth only.
▪️A plane surface is a surface which lies evenly with the straight lines on itself.
☛ Euclid's Axioms ;
▪️Things which are equal to the same thing are equal to one another.
▪️If equals are added to equals, the wholes are equal.
▪️If equals are subtracted from equals the, reminders are equal.
▪️ Things which coincide with one another are equal to one another.
▪️The whole is greater than the part
▪️Things which are double of the same thing are equal to one another.
▪️Things which are halves of the same thing are equal to one another.
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