engagement

(countable) an appointment, especially to speak or perform

The lecturer has three speaking engagements this week.
(uncountable) connection or attachment

Check the gears for full engagement before turning the handle.
(countable or uncountable) the period of time when marriage is planned or promised

We are enjoying a long engagement, but haven't yet set a date.
(fencing) the point at which the fencers are close enough to join blades, or to make an effective attack during an encounter
(military) In air defense, an attack with guns or air-to-air missiles by an interceptor aircraft, or the launch of an air defense missile by air defense artillery and the missile’s subsequent travel to intercept. (JP 1-02 Department of Defense Dictionary of Military and Associated Terms).
(military) A tactical conflict, usually between opposing lower echelons maneuver forces. (JP 1-02 Department of Defense Dictionary of Military and Associated Terms).
(military) In naval parlance, the use of a munition, weapon or decoy to carry out an offensive or defensive action.
In any situation of conflict, an actual instance of active hostilities.

The engagement resulted in may causualties.

After engagement it quickly became clear which of the fencers was going to prevail.

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period of time when marriage is planned or promised

In any situation of conflict, an actual instance of active hostilities

[edit] French

engagement m. (plural engagements)