Lots of books and web sites claim that the lituus was first defined by Roger Cotes (correct) but named by Maclaurin in his "Harmonia mensurarum" in 1722. I believe the latter is incorrect on two accounts: 1) Cotes was the first to use the word lituus, not Maclaurin; 2) Harmonia mensurarum (1722) was the book by Cotes where the lituus was defined, and Maclaurin never wrote a book with that title. The Wikipedia artcle on the lituus does not make this error.
My question is why Maclaurin has been pulled into this story? Did Maclaurin ever write about the lituus at all? Or was he somehow involved with the publishing of Cotes' Harmonia mensurarum?