The notion that one can speed hand typesetting by casting short common words or fragments of words as single types dates back to at least the early 19th century. Many schemes for this have been proposed, and some have even entered limited production. They have never really lived up to their inventors' expectations.
Logotypes as the term is used here are multiple-letter combinations cast as individual types for the purpose of speeding hand composition. In such systems, the resulting printed text would look identical to the text if printed without the use of these logotypes; they are purely a compositional aid.
I'll call these other things "combination types" (this isn't a standard term (there is no standard term) - I just made it up.) In each of these cases the characteristic which distinguishes them from "logotypes" as defined above is that this combination is done for visual or aesthetic reasons. The resulting printed text does not look the same when printed with these (vs. plain single-letter types).
See Non-Logotype "Combination Types" for a discussion of these.
Logotypes themselves are just pieces of type, but there have been several proposed machines to aid in composition with logotypes (which is why I'm considering them all here, within a set of notebooks on Noncasting Type Composing Machinery).
Tobitt (US, 1861)
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