A History of Mathematics |
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Page 3
... interest which pupils take in their studies may be greatly increased if the solution of problems and the cold logic of geometrical demonstrations are interspersed with historical remarks and anecdotes . A class in arithmetic will be ...
... interest which pupils take in their studies may be greatly increased if the solution of problems and the cold logic of geometrical demonstrations are interspersed with historical remarks and anecdotes . A class in arithmetic will be ...
Page 6
... interest . Its consequential development , both for integers and fractions , reveals a high degree of mathematical insight . We possess two Babylonian tablets which exhibit its use . One of them , probably written between 2300 and 1600 ...
... interest . Its consequential development , both for integers and fractions , reveals a high degree of mathematical insight . We possess two Babylonian tablets which exhibit its use . One of them , probably written between 2300 and 1600 ...
Page 51
... interest because it is the first Greek work giving the division of the circumference into 360 degrees after the fash- ion of the Babylonians . Hipparchus of Nicæa in Bithynia was the greatest astron- omer of antiquity . He established ...
... interest because it is the first Greek work giving the division of the circumference into 360 degrees after the fash- ion of the Babylonians . Hipparchus of Nicæa in Bithynia was the greatest astron- omer of antiquity . He established ...
Page 55
... interest is the following theorem , which is the foundation of the modern theory of harmonics : If from D we draw DF , cutting the tri- angle ABC , and choose H on it , so that DE : DF = EH : HF , and if we draw G B F HE D K C the line ...
... interest is the following theorem , which is the foundation of the modern theory of harmonics : If from D we draw DF , cutting the tri- angle ABC , and choose H on it , so that DE : DF = EH : HF , and if we draw G B F HE D K C the line ...
Page 58
... interest in geometry was declin- ing , he towered above his contemporaries " like the peak of Teneriffa above the Atlantic . " He is the author of a Com- mentary on the Almagest , a Commentary on Euclid's Elements , a Commentary on the ...
... interest in geometry was declin- ing , he towered above his contemporaries " like the peak of Teneriffa above the Atlantic . " He is the author of a Com- mentary on the Almagest , a Commentary on Euclid's Elements , a Commentary on the ...
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60 cents abacus Abelian functions algebra Almagest analysis analytical angles Apollonius applied Arabic Archimedes arithmetic astronomical Berlin Bernoulli Boethius calculus 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 lines 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 University variable Vieta Wallis writings wrote
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.