A History of Mathematics |
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Page 21
... plane about a point is completely filled by six equilateral triangles , four squares , or three regular hexagons , so that it is possible to divide up a plane into figures of either kind . From the equilateral triangle and the square ...
... plane about a point is completely filled by six equilateral triangles , four squares , or three regular hexagons , so that it is possible to divide up a plane into figures of either kind . From the equilateral triangle and the square ...
Page 22
... plane figures . The treatment of the subjects of proportion and of irrational quantities by him and his school will be taken up under the head of arithmetic . According to Eudemus , the Pythagoreans invented the prob- lems concerning ...
... plane figures . The treatment of the subjects of proportion and of irrational quantities by him and his school will be taken up under the head of arithmetic . According to Eudemus , the Pythagoreans invented the prob- lems concerning ...
Page 27
... the areas between two curvilinear plane figures , say two circles , geometers first inscribed or circumscribed similar polygons , and then by increasing indefi- nitely the number of sides , nearly exhausted the spaces THE GREEKS . 27.
... the areas between two curvilinear plane figures , say two circles , geometers first inscribed or circumscribed similar polygons , and then by increasing indefi- nitely the number of sides , nearly exhausted the spaces THE GREEKS . 27.
Page 28
... of these works are extant . He used to boast that in the construction of plane figures with proof no one had yet surpassed him , not even ་ the so - called harpedonaptæ ( " rope - stretchers 28 A HISTORY OF MATHEMATICS .
... of these works are extant . He used to boast that in the construction of plane figures with proof no one had yet surpassed him , not even ་ the so - called harpedonaptæ ( " rope - stretchers 28 A HISTORY OF MATHEMATICS .
Page 32
... planes at right angles to a side of the cones , and thus obtained the three sections which we now call the parabola , ellipse , and hyperbola . Judging from the two very elegant solutions of the " Delian Problem " by means of ...
... planes at right angles to a side of the cones , and thus obtained the three sections which we now call the parabola , ellipse , and hyperbola . Judging from the two very elegant solutions of the " Delian Problem " by means of ...
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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 Euclid Euclid's Elements 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 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