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The so called 'Treasury of Analysis' is... a special body of doctrine provided for the use of those who, after finishing the ordinary Elements, are desirous of acquiring the power of solving problems which may be set them involving (the construction of) lines, and it is useful for this alone. It is the work of three men, Euclid the author of the Elements, Apollonius of Perga, and Aristaeus the elder, and proceeds by way of analysis and synthesis.
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But in synthesis, reversing the process, we take as already done that which was last arrived at in the analysis and, by arranging in their natural order as consequences what were before antecedents, and successively connecting them one with another, we arrive finally at the construction of what was sought; and this we call synthesis.
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He [Apollonius of Perga] spent a very long time with the pupils of Euclid at Alexandria, and it was thus that he acquired such a scientific habit of thought.
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Bees... by virtue of a certain geometrical forethought... know that the hexagon is greater than the square and the triangle, and will hold more honey for the same expenditure of material.
Pappus of Alexandria
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Pappus of Alexandria
Born:
290
Died:
350
(aged 60)
Bio:
Pappus of Alexandria was one of the last great Greek mathematicians of Antiquity, known for his Synagoge or Collection, and for Pappus's hexagon theorem in projective geometry.
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