With these rules, the conclusion and theorems created are used to make more theorems and conclusion, and those make more conclusions and theorems and so on. ... Most of theses abstractions are basically used in geometry. They are used in geometry because in geometry you study real objects and what they physically look like, you study their size, shape, and points. Like deduction, abstractions also use axioms, these axioms are of geometry, and with these axioms they are able to explain the world around us. ... To do anything in abstraction, from discovering proper theorem to forming abstract...

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• Grade Level: Undergraduate

HIPPOCRATES OF CHIOS by Rob Fisch It can be argued that if Euclid is the father of Geometry that Hippocrates of Chios could be considered the grandfather of geometry. ... He was a Greek merchant turned geometer who compiled the first known work on the elements of geometry. ... He wrote the first mathematical textbook, called the Elements of Geometry. ... He started out with, and laid down as first of the theorems useful for the purpose, the proposition that similar segments of circles have the same ration one to another as the squares on their bases. ... Although Plato developed a me...

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Pythagoras was a famous mathematician that studied astronomy, logistics, and geometry. He came up with the Pythagorean Theorem. Euclid is considered the father of geometry, and reorganized a compilation of geometry proofs and created the most successful math textbook. ...

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