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17 Cards in this Set
- Front
- Back
Aristotle |
384-322 BC -thought that priests had leisure time to devote to math, that's how it began |
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Herodotus |
484-425 BC -believed annual flooding of the Nile river required resurveying of property |
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Democritus |
460-370 BC -the first man to entertain the notion of the atom, -called Egyptian mathematicians "rope stretchers" |
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when did agriculture arise in the Nile? |
~5000BC |
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when did the first dynasty of Egypt arise? |
~3000BC |
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what were the rulers of egypt called? |
Pharaohs |
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What were the 2 styles of writing that was developed in egypt? |
1) Hieroglyphics: were carved on stones/pyramids 2) Cursive writing called 'hieratics' written on papyrus |
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when did these styles of writing disappear? |
they disappeared when the greeks conquered the egyptians |
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who translated the Rosetta Stone (196BC)? |
Jean Champollion (+1790 to +1832) took him around 20yrs |
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what are the 2 documents (papyrus scrolls) of math? |
1) The Moscow papyrus (1850BC; around the time of Abraham) - a 15ft long scroll 2) The rhind papyrus (1650 BC) -written by Ah'mose, bought by a Scottish man named Rhind |
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T/F. the egyptians did not use base 10 in reverse. |
false .the egyptians did |
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what is a unit fraction? |
a unit fraction is of the form 1/n |
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t/f. egyptians insisted that all fractions must be written as a sum of distinct unit fractions |
true |
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who called egyptian math "rope stretches"? |
Democritus |
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who discovered the egyptian 2/n table? |
Ah'mose |
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prove 4/n can be written as a sum of 3 distinct unit fractions |
4/n: 4/2n=2/n=1/n + 1/(n+1) + 1/n(n+1) |
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how did the egyptians do multiplication? |
they did multiplcation by doing the reverse process of the doubling method. |