He taught geometry in Alexandria and founded a school of mathematics there. ... Euclid laid down some of the conventions central to modern mathematical proofs. His book The Elements, written about 300 BC, contains many proofs in the field of geometry and algebra. ... As part of such an argument, Euclid used results that had been shown to be true, called theorems, or statements that were explicitly acknowledged to be self-evident, called axioms; this practice continues today. ... He claims the proof is "remarkably simple". ...

• Word Count: 533
• Approx Pages: 2
• Grade Level: High School

Originally: (a collective term for) geometry, arithmetic, and certain physical sciences involving geometrical reasoning, such as astronomy and optics; spec. the disciplines of the quadrivium collectively. In later use: the science of space, number, quantity, and arrangement, whose methods involve logical reasoning and usually the use of symbolic notation, and which includes geometry, arithmetic, algebra, and analysis; mathematical operations or calculations. ... Not only was this crop circle mathematical in design but also according to the Crop Circular3, "it emerged that these rings were so p...

• Word Count: 2066
• Approx Pages: 8
• Has Bibliography
• Grade Level: Undergraduate