Why this locus "lugar1" keeps indefinite?

作者：Haroldo Stenger

I'm trying to construct a parabola. I used the fact that in order for the point F to be equidistant to the line f and the point C, it must be the vertex of the isosceles triangle CFD, being D a point in f.

探索資源

Norias
Ubicar irracionales en la recta numérica
Gráfica de la función coseno.
Caracol de Pascal como trisectriz
conjetura1

探索主題

對稱
不等式
Pythagoras or Pythagorean Theorem
平移
三角函數

Why this locus "lugar1" keeps indefinite?

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