A History of Mathematics |
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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 : d2C : 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 : d2C : 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 ...
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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.