engage  
verb uk/ɪnˈɡeɪdʒ/ us/ɪnˈɡeɪdʒ/
  (EMPLOY)      
  [ T ] mainly UK formal雇用;聘用 
to employ someone
  [ + to infinitive ] I have engaged a secretary to deal with all my paperwork. 我雇用了一名秘书来处理我全部的文书工作。 
 We're engaging the services of a professional administrator. 我们将聘用专业管理人员为我们服务。 
 - More examples
 - We've recently engaged a cleaner.
 - She has been known to engage the services of a professional shopper.
 - For these services he would otherwise have to engage a psychotherapist.
 - A professional coach was immediately engaged.
 - 240 stewards were engaged to ensure that the game went smoothly.
 
  (INTEREST)      
 C1 [ T ] formal吸引住,使感兴趣 
to interest someone in something and keep them thinking about it
  The debate about food safety has engaged the whole nation. 关于食品安全的争论引起了全国关注。 
 If a book doesn't engage my interest in the first few pages, I don't usually continue reading it. 如果一本书的前几页不能引起我的兴趣,通常我就不再往下读了。 
 - More examples
 - The subject doesn't engage me.
 - For some reason the film failed to engage my interest.
 - We're always looking out for new subjects that will engage our readers.
 - The debate fails to engage him intellectually.
 - He was examining his fingernails, one of which seemed to engage his attention.
 
  (FIT TOGETHER)      
  [ I or T ](使)(机器)啮合,接合,衔接 
to make one part of a machine fit into and move together with another part of a machine
  When the large gear wheel engages (with the smaller one), the mill stone will start to go round. 当大齿轮(与小齿轮)啮合时,石磨就开始转动。 
   (BEGIN FIGHTING)      
  [ I or T ] military specialized进攻;(与…)交战,(与…)开战 
to attack or begin to fight someone
  Enemy planes engaged the troops as they advanced into the mountains. 部队进山的时候,敌机开始对他们发起攻击。 
   (TEACH)     
 [ T ] Indian English教(儿童);使忙于,使参加 
to teach someone, especially a class of children, or to keep someone busy
 Phrasal verb     
engage in somethingC2 参加;参与
to take part in something
  The two governments have agreed to engage in a comprehensive dialogue to resolve the problem. 两国政府已经同意开展全面对话以解决该问题。 
 to start a conversation with someone: 
 Once Mrs Kirkpatrick engages you in conversation, you're stuck with her for half an hour. 一旦柯克帕特里克夫人跟你聊起来,不说上半个小时她是不会放过你的。