Segmental Arches - Gothic Arches - Lofting Ellipses - Groin Vaults

I'm adding Segmental Arches, Gothic Arches, Ellipse Lofting points for equal height ordinates and Groin Vaults to Rafter Tools. Here's a couple of the screen shot/drawings for these calculators.

Segmental Arch Calculator. Enter the width of the opening and the rise of the opening.

This arch calculator is Erik proof!

The Segmental Arch Calculator returns the radius of the arch, the arch apothem, arch segment height (arch rise), arch segment length (length of arch), arch segment angle and the arch mid point to layout the arch geometrically. 

Gothic Arch Calculator. Enter the width of the opening and the rise of the opening.

This Gothic arch calculator is Erik proof!

The Gothic Arch Calculator returns the radius of the arch, the arch apothem, arch segment height (arch rise), arch segment length (length of arch), arch segment angle and the arch mid point to layout the arch geometrically. It also returns the type of the Gothic arch. 

          Lancet Gothic Arch. A two-centered arch with the radius centers located outside the opening and on the spring line.

            Drop Gothic Arch. A two-centered arch with the radius centers located inside the opening and on the spring line.

            Equilateral Gothic Arch. An arch whose opening and radius of the two halves form an equilateral triangle.

I'm still working on the ellipse lofting and groin vault calculators. Their based on these drawings. Still need to makes these calculators Erik proof!