![Column Why does π/4= arctangent 1=4 arctangent (1/5)- arctangent (1/239) hold true? | Japanese Mathematics in the Edo Period Column Why does π/4= arctangent 1=4 arctangent (1/5)- arctangent (1/239) hold true? | Japanese Mathematics in the Edo Period](https://www.ndl.go.jp/math/s1/images/c4_2_9.gif)
Column Why does π/4= arctangent 1=4 arctangent (1/5)- arctangent (1/239) hold true? | Japanese Mathematics in the Edo Period
![Dave Richeson on Twitter: "Euler proved that π/4=arctan(1/2)+arctan(1/3), which can be used for computing digits of π (using the arctangent series). I wondered if I could prove it without using a trig Dave Richeson on Twitter: "Euler proved that π/4=arctan(1/2)+arctan(1/3), which can be used for computing digits of π (using the arctangent series). I wondered if I could prove it without using a trig](https://pbs.twimg.com/media/DhsYOjwWAAI-nS1.png)
Dave Richeson on Twitter: "Euler proved that π/4=arctan(1/2)+arctan(1/3), which can be used for computing digits of π (using the arctangent series). I wondered if I could prove it without using a trig
![Equation of the Tangent Line with Implicit Differentiation arctan(x + y) = y^2 + pi/4 at (1,0) - YouTube Equation of the Tangent Line with Implicit Differentiation arctan(x + y) = y^2 + pi/4 at (1,0) - YouTube](https://i.ytimg.com/vi/2xrwLQGR5Dg/maxresdefault.jpg)
Equation of the Tangent Line with Implicit Differentiation arctan(x + y) = y^2 + pi/4 at (1,0) - YouTube
I love maths - arctan(1/3)+arctan(1/2)=arctan1...As the total angle made by green and blue angle is nothing but an angle created by diagonal of a square (which is π/4). | Facebook
![Column Why does π/4= arctangent 1=4 arctangent (1/5)- arctangent (1/239) hold true? | Japanese Mathematics in the Edo Period Column Why does π/4= arctangent 1=4 arctangent (1/5)- arctangent (1/239) hold true? | Japanese Mathematics in the Edo Period](https://www.ndl.go.jp/math/e/s1/images/c4_2_10.gif)