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enter image description here

This is an image of the cover of my numerical analysis book. I can see there is a curve and a tangent line to the curve at a point, of course slope of this line is equal to derivative of function of the curve at that point. but we can see also a purple right triangle in the image and its hypotenuse slope seems approximately equal to slope of tangent line. but I am very curious to know how this purple triangle formed and why its these slope are equal? does this image state a concept about numerical methods?

Etemon
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  • The triangle does not look quite like a right triangle to me — the angle in the bottom right seems a little acute more than just perspective would account for. Most likely it is just a graphic design accent, though I can't say for sure. – Steven Stadnicki Dec 20 '20 at 19:30
  • It looks like Newton's method – Empy2 Dec 20 '20 at 21:08

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