Try this:
At the edge apex, draw straight line representing the V edge geometry.
Now, for an edge to have
exactly the same edge apex angle, but convex, you'd have to draw the curve 'inside' the V. If you draw it outside the V lines, your convex will have a more obtuse edge apex angle.
The starting point is the edge apex being mentioned, not the secondary grind where edge starts to form from the blade bevel.
If you start with the bevel, at same angle, the convex will always have more obtuse edge apex, therefore the legend that it is stronger. On the other hand if you start with and make the edge apex angle, both being the same, convex will always be thinner.
Having said that, I like my sharpened convex edges.