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These are connected somehow, hopefully you can see how. The answer I'm looking for is 17 letters long.

            CONNECT

All...are evenly spaced with..at the bottom (4)

All...are evenly spaced with..at the bottom
and a-line just below the top. (3)

All...are evenly spaced with..at the top (5)

All...are evenly spaced with..at the top
and a-line just above the bottom. (5)

Edit: I made some changes. I wasn't completely satisfied with how it was presented so here's the new version.

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I took this rather literally.

All...are evenly spaced with..at the bottom (4).

All 3 dots are evenly spaced with 2 dots at the bottom. If you connect those 3 dots, you get an equilateral triangle.

All...are evenly spaced with..at the bottom and a-line just below the top. (3).

Same, but now there is a (horizontal or dashed) line just below the top.

All...are evenly spaced with..at the top (5).

This is then an upsidedown equilateral triangle.

All...are evenly spaced with..at the top and a-line just above the bottom. (5).

Same, but with a line through it as before.

The original question mentioned "we" so we are looking for a collection of four items matching these shapes. I was stuck at this point for a day or two, but when the enumerations were added I was thinking of sets of four and noticed that these enumerations match the classical elements. And I looked it up, and it turns out those elements have official symbols: elements
What do you know.... The puzzle is solved!

You are the:

CLASSICAL ELEMENTS (17).

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  • $\begingroup$ Indeed it is. Great job! $\endgroup$
    – Prim3numbah
    Apr 26 at 17:03
  • $\begingroup$ Well done! I was looking in entirely the wrong direction: at the distribution of letters, vowels, consonants, ascenders, descenders etc in 17-letter words. I stopped when I realised there could be two or more words. I had been egged on by finding that there are a number of words with alternating consonants and vowels, or with a vowel every 3rd place, etc. $\endgroup$
    – Weather Vane
    Apr 26 at 19:49

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