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Did you notice the first sentence in the graphic:
The term café-espress has been used since the 1880s. That was before the first espresso machine was even built.
The term means to serve one shot expressly for the one who ordered it. Mostly these were workers in a rush and in need of a quick shot of caffeine.
If you are interested in a very detailed espresso history, you may want to check the Short History Of Espresso at home-barista.com.