A History of Mathematics |
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... new references : under " De Moivre " add 242 , 245 ; under " Elements " ( Euclid's ) add 61 ; under " Laplace " add 257 ; under " Moivre , de " add 240 , 242 ; under " Substitutions " add 329 . A HISTORY OF MATHEMATICS.
... new references : under " De Moivre " add 242 , 245 ; under " Elements " ( Euclid's ) add 61 ; under " Laplace " add 257 ; under " Moivre , de " add 240 , 242 ; under " Substitutions " add 329 . A HISTORY OF MATHEMATICS.
Page 16
... element- ary geometry . But this does not lessen our admiration for the Greek mind . From the moment that Hellenic philoso- phers applied themselves to the study of Egyptian geometry , this science assumed a radically different aspect ...
... element- ary geometry . But this does not lessen our admiration for the Greek mind . From the moment that Hellenic philoso- phers applied themselves to the study of Egyptian geometry , this science assumed a radically different aspect ...
Page 21
... Elements , I. 47 , is due to Euclid himself , and not to the Pythagoreans . What the Py- thagorean method of proof was has been a favourite topic for conjecture . The theorem on the sum of the three angles of a triangle , presumably ...
... Elements , I. 47 , is due to Euclid himself , and not to the Pythagoreans . What the Py- thagorean method of proof was has been a favourite topic for conjecture . The theorem on the sum of the three angles of a triangle , presumably ...
Page 22
... elements of the physical world ; namely , fire , air , water , and earth . Later another regular solid was discovered , namely the dodecaedron , which , in absence of a fifth element , was made to represent the universe itself ...
... elements of the physical world ; namely , fire , air , water , and earth . Later another regular solid was discovered , namely the dodecaedron , which , in absence of a fifth element , was made to represent the universe itself ...
Page 26
... Elements we find the theory of proportion of magnitudes developed and treated independent of that of numbers . The transfer of the theory of proportion from numbers to mag- nitudes ( and to lengths in particular ) was a difficult and ...
... Elements we find the theory of proportion of magnitudes developed and treated independent of that of numbers . The transfer of the theory of proportion from numbers to mag- nitudes ( and to lengths in particular ) was a difficult and ...
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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.