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I would describe that statement, that Euclid was the first to apply for geometry, as confusing, rather than as being either true or false. People apply for jobs, they apply for loans, they apply for disability payments, they apply for grants, but they do not apply for geometry. People study geometry, they write about geometry (which is what Euclid did) and they use geometry to solve various problems, but they don't apply for geometry.
Euclid wrote them
Euclid
Nothing is known of Euclid's personal life.
Euclid was the name of a famous Greek mathematician.