Words related to rotary
type of large, four-wheeled carriage, 1801, from dialectal German barutsche, from Italian baroccio "chariot," originally "two-wheeled car," from Latin birotus "two-wheeled," from bi- "two" (from PIE root *dwo- "two") + rotus "wheel," from rotare "go around" (see rotary). Frenchified in English, but the word is not French.
The half-top, for morning and evening drives, is much liked: the top being thrown down, the carriage presents an elegant appearance, and affords an opportunity for the display of full dress—hence it is popular with visitors at watering places and public parks. [Henry William Herbert ("Frank Forester"), "Hints to Horse-Keepers," New York, 1859]
"public entertainment show of horse-riding skill," 1914, from the earlier meaning "cattle round-up" (1834), from Spanish rodeo, "pen for cattle at a fair or market," literally "a going round," from rodear "go round, surround," related to rodare "revolve, roll," from Latin rotare "go around" (see rotary).
c. 1200, rolle, "rolled-up piece of parchment or paper, scroll" (especially one inscribed with an official record), from Old French rolle "document, parchment scroll, decree" (12c.), Medieval Latin rotulus "a roll of paper" (source also of Spanish rollo, Italian rullo), from Latin rotula "small wheel," diminutive of rota "wheel" (see rotary). Dutch rol, German Rolle, Danish rulle, etc. are from French.
The meaning "a register, a list, a catalogue" is from late 14c., common from c. 1800. The general sense of "quantity of material rolled up" also is from late 14c. Specific cookery meaning "small quantity of dough which is rolled before baking" is recorded from mid-15c. The meaning "quantity of paper money" is from 1846; the sense of "quantity of (rolled) film" is from 1890.
early 14c., rollen, "turn over and over, move by rotating" (intransitive); late 14c. in the transitive sense of "move (something) by turning it over and over;" from Old French roeller "roll, wheel round" (Modern French rouler), from Medieval Latin rotulare, from Latin rotula, diminutive of rota "wheel" (see rotary). Related: Rolled; rolling.
From c. 1400 as "wrap or cover by rolling or enclosing" in something, also "wrap round and round an axis;" early 15c. as "press or level with a roller." From 1510s as "to move or travel on wheels or by means of rolling." Of sounds (such as thunder) somehow suggestive of a rolling ball, 1590s; of a drum from 1680s.
Of spoken sounds, "to utter with vibrations of the tongue," by 1846. Of eyes, from late 14c. (rolle his eyne), originally suggestive of ferocity or madness. Of a movie camera, "to start filming," from 1938. Sense of "rob a stuporous drunk" is by 1873, from the action required to get to his pockets. To roll up "gather, congregate" is from 1861, originally Australian. To roll with the punches is a metaphor from boxing (1940). To roll them bones was old slang for "play at dice" (1929). Heads will roll is a Hitlerism:
If our movement is victorious there will be a revolutionary tribunal which will punish the crimes of November 1918. Then decapitated heads will roll in the sand. 
1550s, "act of rotating or turning, action of moving round a center," from Latin rotationem (nominative rotatio) "a turning about in a circle," noun of action from past-participle stem of rotare "turn round, revolve, whirl about, roll," from the same source as rota "wheel" (see rotary).
Sense of "a recurring series or period" is by 1610s. Used earlier in alchemy, "transmutation of the four elements into one another" (late 15c.).
c. 1300, "custom, habit," in phrase bi rote "by heart," a word of unknown origin, sometimes said to be connected with Old French rote "route" (see route (n.)), or from Latin rota "wheel" (see rotary), but OED calls both suggestions groundless. Meaning "a fixed or unchanging round," as in learning or reciting, is by 1580s. As a verb, "repeat, say from memory," 1590s.
method of printing by means of a rotary press, 1913, from German Rotogravur (originally, in full, Rotogravur Deutsche Tiefdrück Gesellschaft), said to blend two corporate names, Rotophot and Deutsche Photogravur A.G. Etymologically, the roots are Latin rota "wheel, roller" (see rotary) and French gravure "engraving" (see gravure). The process was used for printing photo sections of newspapers and magazines, so that the word came to be used for these (1914).