Catalog of triangles

Question

Is there a catalogue of triangles in which one might find for instance the name of the right angle triangle with an angle of approx 35 degrees in which the altitude, median and side bisectors intersect at a point? Or in which the diameters of the incircle through the touch points end on Euler's line? Ideally this catalogue would list lots of interesting triangles, their dimensions, method of construction, names etc. Despite several hours searching I cannot find such a catalogue. The closest I found is the list of triangle centres, but these work for any triangle. Thanks for your help.