Here is the progress so far :
Parabolic arching : basically this method consists of choosing where the highest point of your arching is and your final hight. With a formula you can find the aimed radius to make your templates. The long arch is generally composed of two radius because the highest point is not in the middle.
It's a really simple and effective method to obtain a nice looking arch, Rémi got this method from Jacky when he was a student at the CMB in Belgium.
Pictures of the drawing you need to make and the formula used in order to achieve a parabolic arch :
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