A History of Mathematics |
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Page 2
... problem by the same method which has led other mathematicians to failure ; it teaches that fortifications can be taken in other ways than by direct attack , that when repulsed from a direct assault it is well to recon- noitre and occupy ...
... problem by the same method which has led other mathematicians to failure ; it teaches that fortifications can be taken in other ways than by direct attack , that when repulsed from a direct assault it is well to recon- noitre and occupy ...
Page 3
... problem of the trisec- tion of an angle . When they know how to construct a square whose area is double the area of a given square , tell them about the duplication of the cube - how the wrath of Apollo could be appeased only by the ...
... problem of the trisec- tion of an angle . When they know how to construct a square whose area is double the area of a given square , tell them about the duplication of the cube - how the wrath of Apollo could be appeased only by the ...
Page 14
... problem , to divide 5 by 21 . In the first place , 5 = 1 + 2 + 2 . From the table we get + ( 142 ) + ( 14 42 ) = 21+ ( 124 22 ) The papyrus contains problems = 24. Then = Σ + Д = ÷ 2 = 21 1 1 = 14 42 . 44 in which it is required that ...
... problem , to divide 5 by 21 . In the first place , 5 = 1 + 2 + 2 . From the table we get + ( 142 ) + ( 14 42 ) = 21+ ( 124 22 ) The papyrus contains problems = 24. Then = Σ + Д = ÷ 2 = 21 1 1 = 14 42 . 44 in which it is required that ...
Page 15
... problem , “ heap , its 4 , its whole , it makes 19 , " х 7 i.e. 8x case , the solution is as follows : = 19 ; 7 7 x + x = 19. In this = 21 ; x = 16 . But in other problems , the solutions are effected by various other methods . It thus ...
... problem , “ heap , its 4 , its whole , it makes 19 , " х 7 i.e. 8x case , the solution is as follows : = 19 ; 7 7 x + x = 19. In this = 21 ; x = 16 . But in other problems , the solutions are effected by various other methods . It thus ...
Page 19
... problem of the quadrature of the circle , that rock upon which so many reputations have been destroyed . It turns upon the determination of the exact value of π . Approx- imations to had been made by the Chinese , Babylonians , Hebrews ...
... problem of the quadrature of the circle , that rock upon which so many reputations have been destroyed . It turns upon the determination of the exact value of π . Approx- imations to had been made by the Chinese , Babylonians , Hebrews ...
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