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The oldest calculating machine did not calculate conventional arithmetic tasks, but universal phenomena. The lines below summarize in many ways what ratio calculus is all about. Pascal's triangle shows how phenomena are formed, and the figure helps to visualize their essence.

The mechanical calculating machine that Blaise Pascal made for his father is said to be the ancestor of today's computers. When Blaise Pascal invented the calculating machine mechanism, you have before you the mechanism of nature in phenomena.

Pascalin_kolmio.JPG

                                                      1

                                               1 + 0,1 = 1,1

                                         1 + 0,2 + 0,01 = 1,21

                                   1 + 0,3 + 0,03 + 0,001= 1,331

                             1 + 0,4 + 0,06 + 0,004 + 0,0001 = 1,4641

                       1   + 0,5 + 0,10  +  0,01  + 0,005  + 0,00001= 1,61051       Proportionality limit

                 1 +  0,6 + 0,15 + 0,002     +0.0015    +0.00006 + 0,000001 =1,754

           1 + 0,7 + 0,23 + 0,035 = 1,96      The calculation can be shortened

     1 + 0,8 + 0,30 + 0,058 = 2,158          

The last row in the image continues.

1     9      38        88 

1+ 0,9 + 0,38 + 0,088  = 2,37                             1,1 x 2,14358881 = 2,357947

1  10    47        121

1+ 1 + 0,57 + 0,168 = 2,59374                            1,1 x 2,357947 = 2,59374

                                                                             1,110 = 2,59374  (Decimal system)

SQRT 2,59374 = 1,61051 (Sixth row in the Pascal's triangle)

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24.11.2024*14:45 (45932 - 857)
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