Basic boat design question

The boat is first DRAWN by architect and THEN checked by him using calculation methods.
 
... the curve (I don't know how to call it) at the sides of the yacht as show red in the attached picture.
IMO, you are talking about the curve which is generically called "waterline".

A waterline is by definition a curve obtained by intersecting the outer hull plating with a generic horizontal plane. This plane can be the water surface or any other horizontal plane above or below the water surface.

Cheers
 
The "sheer line" is the intersection between the hull and the deck. It is visible in the "sheer plan" (also know as the "profile plan") and in the "half-breadth plan".

The curve in the drawing could be either a single waterline or the sheer line.
 
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