If it is an elderly an ex industry machine, it may well have an International Taper. (30, 40 or 50 depending on size )
They may, now, be designated as BT.
ISO Tapers look similar, but will be to Metric dimensions, rather than Imperial
Take a look at what Arc Euro offer, they do both BT and ISO adaptors, which may give you a clue.
The INT and ISO tapers locate on the taper, but drive on two dogs on the machine quill that engage in slots in a flange on whatever tool / arbor is being fitted.
Other tapers, such as Morse will be less steep, since they are intended to drive on the taper.
Morse tapers are only slightly less than 3 degrees, but vary slightly according to the size (So a 1MT will not be the same angle as a 2MT nor a 3MT, and so on )
There are other tapers, but probably unlikely to be the one in your machine.
HTH
Howard