A History of Mathematics |
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Page 5
... expressed by symbols whose respective values had to be added . Thus , stood for 2 , y for 3 , for 4 , ▾ for 23 , <<< for 30. Here the symbols of higher order appear always to the left of those of lower order . In writing the hundreds ...
... expressed by symbols whose respective values had to be added . Thus , stood for 2 , y for 3 , for 4 , ▾ for 23 , <<< for 30. Here the symbols of higher order appear always to the left of those of lower order . In writing the hundreds ...
Page 14
... expressed by any one unit - fraction were expressed as the sum of two or more of them . Thus , he wrote in place of . The first important problem naturally arising was , how to represent any fractional value as the sum of unit ...
... expressed by any one unit - fraction were expressed as the sum of two or more of them . Thus , he wrote in place of . The first important problem naturally arising was , how to represent any fractional value as the sum of unit ...
Page 18
... expression , and to put into scientific lan- guage and subject to proof that which others merely felt to be true . Thales may be said to have created the geometry of lines , essentially abstract in its character , while the Egyp- tians ...
... expression , and to put into scientific lan- guage and subject to proof that which others merely felt to be true . Thales may be said to have created the geometry of lines , essentially abstract in its character , while the Egyp- tians ...
Page 21
... expression . Like Egyptian geometry , the geometry of the Pythagoreans is much concerned with areas . To Pythagoras is ascribed the important theorem that the square on the hypotenuse of a right triangle is equal to the sum of the ...
... expression . Like Egyptian geometry , the geometry of the Pythagoreans is much concerned with areas . To Pythagoras is ascribed the important theorem that the square on the hypotenuse of a right triangle is equal to the sum of the ...
Page 30
... expression , and the geometrical concepts , such as the point , line , surface , etc. , without assigning to them formal definitions . The Py- thagoreans called a point " unity in position , " but this is a statement of a philosophical ...
... expression , and the geometrical concepts , such as the point , line , surface , etc. , without assigning to them formal definitions . The Py- thagoreans called a point " unity in position , " but this is a statement of a philosophical ...
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60 cents abacus Abelian functions algebra Almagest analysis analytical angles Apollonius applied Arabic Archimedes arithmetic astronomical Berlin Bernoulli Boethius calculus called Cambridge Cauchy Cayley century circle Clebsch coefficients College conic sections contains Crelle's Journal cubic curve degree Descartes determine differential calculus differential equations Diophantus discovery Edition Egyptian elasticity Elementary Treatise elliptic functions equal Euclid Euler expressed Fermat fluxions fractions Gauss gave geometry given gives Greek Hindoo infinite integral invention investigations Jacobi John Bernoulli known Lagrange Laplace Legendre Leibniz linear logarithms mathe mathematicians mathematics matical mechanics memoir method motion Newton notation paper Pappus Paris plane polygon principle problem professor progress proof published pupil Pythagoreans quadratic quadrature quantities ratio researches Riemann roots sexagesimal solids solution solved spherical square surface symbol synthetic geometry tangents theorem theory of numbers theta-functions Thomson tion translated triangle trigonometry variable Vieta Wallis writings wrote
Popular passages
Page 202 - I was so persecuted with discussions arising out of my theory of light, that I blamed my own imprudence for parting with so substantial a blessing as my quiet, to run after a shadow.
Page 298 - THEOREM If a straight line falling on two other straight lines, make the alternate angles equal to one another, the two straight lines shall be parallel to one another.
Page 21 - 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.