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A List of 55 Ancient Greek mathematicians and astronomers is drafted, schematically and hierarchically clustered around four (idiosyncratic of course, fuzzy and fluid) sets of major to minor Mathematics figures.
The ancient Greeks had two primary forms of enumeration, both dating from around 800–500 BC. In Attic Greek (Attica = Athens) strokes were used for 1–4, while larger numerals used the first letter of the words for 5, 10, 100, 1000 and 10000. For example, Πεντε (pente) is Greek for five, whence Π denoted the number 5.
GREEK MATHEMATICS. The history of Greek mathematics spans the period from Thales, around 600 BC, to the end of the 2nd Alexandrian school, around 415 AD. Enormous advances were made from 600-200 BC. The most notable early achievements were from the school associated with Pythagoras in c. 550 AD.
The great achievement of the Greek mathematicians was developing the idea of proof. As opposed to their Babylonian and Egyptian predecessors who were mostly concerned with how to solve practical problems, the Greeks were interested in why mathematics worked.
Mathematics. By the sixth century BCE (500s BCE), two men seem to have appeared on the mathematical scene: Thales and Pythagoras. Unfortunately, there does not exist any primary source data for their achievements The earliest reliable sources on Greek mathematics come in the form of persistent tradition and third-hand sources.
Intercept Theorem. If two (or more) parallel lines (blue) are intersected by two self-intersecting lines (red), then the ratios of the line segments of the rst intersecting line is equal to the ratio of similar line segments of the second line. A.
The basic definitions and theorems about commensurable lines are at the beginning of Book X, like. Def. (X, 1): Sizes that are measured by the same measure are called commen-surable, and incommensurable sizes are those for which there is no common measure.
