A History of Mathematics |
From inside the book
Results 1-5 of 64
Page 2
... question to be solved by a definite method was tried by the best heads , and answered at last , by that method , after thou- sands of complete failures . " But progress was made on this problem by approaching it from a different ...
... question to be solved by a definite method was tried by the best heads , and answered at last , by that method , after thou- sands of complete failures . " But progress was made on this problem by approaching it from a different ...
Page 3
... mathematical training is called in question , quote the inscription over the entrance into the academy of Plato , the philosopher : " Let no one who is unacquainted with geometry enter here . " Students in analyt- INTRODUCTION . 3.
... mathematical training is called in question , quote the inscription over the entrance into the academy of Plato , the philosopher : " Let no one who is unacquainted with geometry enter here . " Students in analyt- INTRODUCTION . 3.
Page 7
... question , for they happen to contain no number in which there was occasion to use a zero . The sexagesimal system was used also in fractions . Thus , in the Babylonian inscriptions , and are designated by 30 and 20 , the reader being ...
... question , for they happen to contain no number in which there was occasion to use a zero . The sexagesimal system was used also in fractions . Thus , in the Babylonian inscriptions , and are designated by 30 and 20 , the reader being ...
Page 27
... question gave rise to lively disputes in Athens . If a polygon can coincide with the circle , then , says Simplicius , we must put aside the notion that magnitudes are divisible ad infinitum . Aristotle always supported the theory of ...
... question gave rise to lively disputes in Athens . If a polygon can coincide with the circle , then , says Simplicius , we must put aside the notion that magnitudes are divisible ad infinitum . Aristotle always supported the theory of ...
Page 28
... question . Then if the proportion D2 : d2 C : c is not true , suppose that D2 : d2 = C : c ' . If c ' < c , then a polygon p can be inscribed in the circle c which comes nearer to it in area than does c ' . If P be the corresponding ...
... question . Then if the proportion D2 : d2 C : c is not true , suppose that D2 : d2 = C : c ' . If c ' < c , then a polygon p can be inscribed in the circle c which comes nearer to it in area than does c ' . If P be the corresponding ...
Other editions - View all
Common terms and phrases
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 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 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