I am working on the glass now. It is easy to get an object to vanish...
I tried several settings using the default shader. I tried a reflective shader, with some small success. That is until the transparency goes below 0.7125.
Last thing I tried was a water shader. Reduce the roughness to zero. The transparency can be adjusted. The Decay Distance seems to be the key here. This needs to be set at the objects scale size. The reflectivity can be set also.
This seems to be the solution, at least until the new object render engine is released. Apparently the current render engine uses a z buffer for transparency. From the bits I've read in various posts, the next object render engine will be full ray-traced.