A History of Mathematics |
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Page 43
... remained absolutely stationary till the time of Galileo - a period of nearly two thousand years . The proof of the property of the lever , given in his Equi- ponderance of Planes , holds its place in text - books to this day . His ...
... remained absolutely stationary till the time of Galileo - a period of nearly two thousand years . The proof of the property of the lever , given in his Equi- ponderance of Planes , holds its place in text - books to this day . His ...
Page 68
... remained closed at that time . The Pythagoreans classified numbers into odd and even . They observed that the sum of the series of odd numbers from 1 to 2n + 1 was always a complete square , and that by addition of the even numbers ...
... remained closed at that time . The Pythagoreans classified numbers into odd and even . They observed that the sum of the series of odd numbers from 1 to 2n + 1 was always a complete square , and that by addition of the even numbers ...
Page 69
... remained fruitless . The problem may have been attacked again and again , until finally " some rare genius , to whom it is granted , during some happy moments , to soar with eagle's flight above the level of human think- ing , " grasped ...
... remained fruitless . The problem may have been attacked again and again , until finally " some rare genius , to whom it is granted , during some happy moments , to soar with eagle's flight above the level of human think- ing , " grasped ...
Page 70
... remained where Euclid left it , till the fifteenth century . Euclid devotes the seventh , eighth , and ninth books of his Elements to arithmetic . Exactly how much contained in these books is Euclid's own invention , and how much is ...
... remained where Euclid left it , till the fifteenth century . Euclid devotes the seventh , eighth , and ninth books of his Elements to arithmetic . Exactly how much contained in these books is Euclid's own invention , and how much is ...
Page 71
... remained almost stationary for 400 years . Geometry monopolised the attention of all Greek mathematicians . Only two are known to have done work in arithmetic worthy of mention . Eratosthenes ( 275–194 B.C. ) invented a ' sieve ' for ...
... remained almost stationary for 400 years . Geometry monopolised the attention of all Greek mathematicians . Only two are known to have done work in arithmetic worthy of mention . Eratosthenes ( 275–194 B.C. ) invented a ' sieve ' for ...
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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.