Using only a single word in each case, I'm attempting to describe two different variations involving constancy of a certain attribute:
Variation of an object without changing its weight.
Variation of an object without changing its length.
(For those interested in the context, the object whose variation I'm considering is a weighted mathematical knot.)
Words like "isobaric" and "isothermic" immediately spring to mind, but obviously they won't do here. "Isometric" is close to describing case 2, but since it's already attached to a precise mathematical definition that slightly differs from case 2 I'd like to avoid using it. I've searched through lists like those found here and here, but these lists are not exactly short and seem to contain mostly technical language specifically related to biology and chemistry.
Does anybody know of words that could end this search for me? They certainly don't need to use the "iso" prefix; I simply thought that would be a good place to start. Any advice whatsoever is most appreciated.
I would use such a word as follows: "The next theorem presents a first-variation formula describing the isobaric variation of any weighted knot."
Essentially, I'm looking for a legitimate way to say "isolength" and "isoweight".