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

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

Top Of Page

Section XXVI - Outline and Purpose for Part V

Summary for the Section :

• In this Section , we shall state out what we intend to accomplish in this Part V of this paper .

go to Top Of Page

A Statement of Purpose for Part V :

• Let us recall that we did set up a random triangle { Triangle A-B-C } previously in Part IV :

  

  In this Part V of the paper , we shall introduce two (2) different Reference Frames ,

  • each using the { centroid of Triangle A-B-C } as the [ Point of Origin ] .

  

  The { OLD Reference System } , as per the diagram on-the-left above ,

  • shall be the same Reference System we have used in Part IV ;

  where as :

  • the { NEW Reference System } , as per the diagram on-the-right above ,
    • is simply { OLD Reference System } rotated clockwise thru the random angle { Delta } .

• We shall demostrate in this Part V of the paper that :
  • regardless of whether we use the { OLD Reference System } or the { NEW Reference System }
    • to solve for the 2 component mirror-imaged Equilateral Triangles ;

    we will always come up with the same 2 solution mirror-imaged Equilateral Triangles .

go to Top Of Page

go to the next Section : Section XXVII - Setting up the 2 different Reference Systems

go to the last Section : Section XXV - Summarizing Our Findings for Part IV

return to the Pair of Mirror-Imaged Equilateral Triangles Homepage

Original dated 2021-9-07