Monday, 8 September 2014

This construction shows angles AOF=40 degrees, BOE= 90 degrees, BOF= 140 degrees, BOG=70 degrees, BOH=35 degrees and BOI=17.5 degrees. From the simple construction of 40 degree angle using compass, pencil and ruler only, a wider range of other angles such as 5, 10, 20, 25, 35, 50, 70, 130, 140 etc can be derived. Eureka!!!


2 comments:

  1. Construct 40, with 90.

    Then take the bisecting angles (20, then 10, 5; 45); or complementary angles (140) and bisect them again (70, 35, 17.5), etc.

    For example, for 40: https://www.youtube.com/watch?v=L2QmWbHEU8U

    And for bisecting angle: https://www.youtube.com/watch?v=U4q5rEw3ZpY

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