The solid (3D) geometric construction step by step

Step A

The height of the arch is decided by the size of an equilateral triangle and the size of a circular arc equal to a side of the triangle

I = the centre of the original square

II = the height of the arch

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Step B

The longitudinal arc is constructed as follows.

Arc III is equal to arch II in step A. The longitudional arc is constructed as predicted the line IV giving the arc center at VI as being a perpendicular line (V) from the center of IV intersecting the transverse axis of the original square at VI

Step C

Any desired transverse crosssection can be constructed here showing the places of intersection on the widest places between the base line arcs and ther points of intersection between base line and cordline VII, IIX, IX and X

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