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"to pass through a calender," a machine which smooths and presses paper, cloth, etc., 1510s, from Middle French calandre, the machine name, from Medieval Latin calendra (see calender (n.)).
"machine which smooths and presses paper, cloth, etc.," 1510s (late 13c. in surnames of persons who use such a machine), 1510s, from Old French calandreur, from Medieval Latin calendra "cloth-pressing machine," so called from the shape of the machine used, from Latin cylindrus, from Greek kylindros "roll, cylinder" (see cylinder).