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In page Jackshaft:

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The oldest uses of the term jackshaft appear to involve shafts that were intermediate between water wheels or stationary steam engines and the line shafts of 19th century mills.[1][2] In these early sources from New England mills in 1872 and 1880, the term "jack shaft" always appears in quotes. Another 1872 author wrote "Gear wheels are used in England to transmit the power of the engine to what is usually called the jack shaft."[3] By 1892, the quotes were gone, but the use remained the same.[4]