17. Gregory's Arc Tangent Series

[b]Proposition: [/b][i]To determine the angles of a triangle from the sides without the use of tables.[/i] This is problem #17 in Heinrich Dorrie's [i]100 Great Problems of Elementary Mathematics[/i] ___________ Initial subproblem: ratio comparison of two arc tangents on the unit circle. From this construction, we can derive a series expansion of the function arc tan x.

 

Ryan Hirst

 
Resource Type
Activity
Tags
cyclometric  geometry  series 
Target Group (Age)
19+
Language
English (United States)
 
 
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