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The Math Book (years 0 -1400)

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Term
Definition
Ptolemy's Almagest   show
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show 250. Greek mathematician the father of algebra. Treatment of fractions as numbers, like integer solutions to equations.  
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show 340. Farmer planting 9 trees in 10 rows. Put 3 in a row, 3 in a row, draw lines, hexagon reveals 3rd line. Then adjust. Important because a theorem was established free from measurements. First projective geometry.  
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Bakhshali Manuscript   show
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Death of Hypatia   show
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Zero   show
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show 800. Alcuinus a scholar from England. His book contributed to the learning of the "Number Pope" in France who redid the floor of a cathedral as an abacus and adopted Arabic numbers in place of Roman Numerals. The book has puzzles including river crossings  
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show 830. Father of Algebra. From Persia/Baghdad. Al-jabr an operation to add the same quantity to both sides of an equation, book intended to be practical with linear & quadratic equations  
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Borrowmean Rings   show
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show 850. Indian book. Problem about a girl with lots of pearls on necklace. Square root of a negative doesn't exist, ellipses, etc.  
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show 850. Arab. Formula for amicable numbers. Amicable numbers are two numbers whose proper factors sum to the other number. (220 & 284)  
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show 953. Book written by Arab Al-Uqlidisi. Translated Euclid's works. Used decimals for first time, legacy is paper-and-pen math (instead of sand)  
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Omar Khayyan's Treatise   show
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Al-Samawal's The Dazzling   show
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show 1200. Used in ancient times. Modern abacus with beads on wires in China. Predecessor to computer. Experienced users can quicky multiply, divide and find square roots.  
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show 1202. Italian. Book introduced Hindu-Arabic numerals to Western Europe. And then of course the Fibonacci Sequence.  
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show 1256. Arab scholar Ibn Khallikan first author to discuss this story which is important because it illustrates geometric growth.  
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show 1350. A divergent series approaches infinity (1+2+3...). The harmonic series 1 + 1/2 + 1/3 + 1/4 also approaches infinity but much more slowly.  
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