Question

Give 5 important sentences of euclid?

Answer 1

Euclid  300
sometimes called Euclid of Alexandria to distinguish him from Euclides of Megara, was a Greek mathematician, often referred to as the "father of geometry". He was active in Alexandria during the reign of Ptolemy I (323–283 BCE). His Elements is one of the most influential works in the history of mathematics, serving as the main textbook for teaching mathematics (especially geometry) from the time of its publication until the late 19th or early 20th century.[1][2][3]In the Elements, Euclid deduced the principles of what is now called Euclidean geometryfrom a small set of axioms. Euclid also wrote works on perspective, conic sections, spherical geometry, number theory, and rigor

Answer 2

Here are the important Euclid's Axioms:

#For every two points A, B there exits a line a that contains each of the points A, B.

#For every two points A, B there exists no more than one line that contains each of the points A, B.

#There exist at least two points on a line. There exist at least three points that do not lie on a line.

#For any three points A, B, C that do not lie on the same line there exists a plane [alpha] that contains each of the points A, B, C.

#For every plane there exists a point which it contains.

#For any three points A, B, C that do not lie on one and the same line there exists no more than one plane that contains each of the three points A, B, C.

#If two points A, B of a line a lie in a plane [alpha], then every point of a lies in the plane [alpha].If two planes [alpha], [beta] have a point A in common, then they have at least one more point B in common.There exist at least four points which do not lie in a plane.