On Breaking-down any Triangle into
a pair of Mirror-Imaged Equilateral Triangles

by Frank C. Fung ( 1st published in September, 2021. )

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Section XXXVI - [ M ] and [ N ] - OLD System vs. NEW System

Summary for the Section :

• In this Section , we shall establish the relations for [ M ] and [ N ] :
  • under the { OLD System } vs. under the { NEW System } .

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Recalling [ M ] and [ N ] :

• Let us recall that the next step in our original procedure to solve for the 2 Equilateral Trianges was :
  • to convert this equation :
    • 

    into this reformatted equation :

    • 

      via :

      • 

      • 

  Let us now bring in these results established in the last Section - Section XXXV :

  • 

  • 

  It then follows that :

  • 

  • 

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What's next :

• With this in hand , let us now look more closely at the relation for [ W1 ] :
  • under the { OLD System } vs. under the { NEW System } ;

    next .

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go to the next Section : Section XXXVII - [ W1 ] and [ W2 ] - OLD Sysetm vs. NEW System

go to the last Section : Section XXXV - Setting up the Unit Circles - OLD vs. NEW

return to the Pair of Mirror-Imaged Equilateral Triangles Homepage

Original dated 2021-9-07