Euclid sometimes given the name Euclid of Alexandria to distinguish him from Euclides of Megara was a Greek mathematician, often referred to as the "founder of geometry" or the "father of geometry". He was active in Alexandria during the reign of Ptolemy I (323–283 BC). 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. In the Elements  Euclid deduced the theorems of what is now called Euclidean geometry from a small set of axioms.

So lastly we can say that, All the statements are correct for this Greek mathematician.