A History of Mathematics |
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Page 6
... probability , also familiar with the notation of numbers . Most surprising , in this connection , is the fact that Sumerian inscriptions disclose the use , not only of the above decimal system , but also of a sexagesimal one . The ...
... probability , also familiar with the notation of numbers . Most surprising , in this connection , is the fact that Sumerian inscriptions disclose the use , not only of the above decimal system , but also of a sexagesimal one . The ...
Page 21
... solids , namely the tetraedron , octaedron , icosaedron , and the cube . These solids were , in all probability , known to the Egyptians , excepting , perhaps , the icosaedron . In Pythagorean philos- THE GREEKS . 21.
... solids , namely the tetraedron , octaedron , icosaedron , and the cube . These solids were , in all probability , known to the Egyptians , excepting , perhaps , the icosaedron . In Pythagorean philos- THE GREEKS . 21.
Page 31
... probability was framed by Eudoxus : " Analysis is the obtaining of the thing sought by assuming it and so reasoning up to an admitted truth ; synthesis is the obtaining of the thing sought by reasoning up to the inference and proof of ...
... probability was framed by Eudoxus : " Analysis is the obtaining of the thing sought by assuming it and so reasoning up to an admitted truth ; synthesis is the obtaining of the thing sought by reasoning up to the inference and proof of ...
Page 33
... probability the inventor . A scholiast on Euclid , thought to be Proclus , says further that Eudoxus practically invented the whole of Euclid's fifth book . Eudoxus also found two mean proportionals between two given lines , but the ...
... probability the inventor . A scholiast on Euclid , thought to be Proclus , says further that Eudoxus practically invented the whole of Euclid's fifth book . Eudoxus also found two mean proportionals between two given lines , but the ...
Page 104
... probability that more extended communications actually did take place . Better informed are we regarding the way in which Greek science , in successive waves , dashed upon and penetrated Arabic soil . In Syria the sciences , especially ...
... probability that more extended communications actually did take place . Better informed are we regarding the way in which Greek science , in successive waves , dashed upon and penetrated Arabic soil . In Syria the sciences , especially ...
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Popular passages
Page 292 - THEOREM. If a straight line, falling on two other straight lines, make the alternate angles equal to each other ; these two straight lines shall be parallel.
Page 13 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.
Page 90 - In an inscribed quadrilateral, the product of the diagonals is equal to the sum of the products of the opposite sides.
Page 419 - FERRERS.— AN ELEMENTARY TREATISE on TRILINEAR CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projections. By the Rev. NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge.