Definition of "ingage"

[…] Love is a ſort of Devotion too, and not only ſhould beget Reſpect, but likevviſe ingage Patience.

, Tho[mas] d’Urfey, The Old Mode & the New, or, Country Miss with Her Furbeloe. A Comedy. […], London: […] Bernard Lintott, and sold by Samuel Clark, […], Francis Faucet […], and Lucas Stowkey […], Act I, scene i, page 1

Besides these two Motives, could I need any other to ingage me in the defence of Vertue, I should find yet a very powerful one in that dutiful Affection which I pay, and which every Subject ows to a GOOD PRINCE: Since the QUEEN, I am fully perswaded, would not so much rejoyce in the Accession of great Kingdoms to her Dominions, as to see the People, already happy in Her Government over them, indeavouring to make themselves and one another so, in following the great Example which She sets them of Vertue and Piety.

1705, Lady Damaris Masham, Occasional Thoughts in Reference to a Vertuous or Christian life‎

[…] commanded that part of his cavalery which was behind his foot, to charge the King's and the general's regiments in the flanck, just at the time when they were so warmly ingaged at push of pike with his men.

1816, James Stanier Clarke, The Life of James the Second King of England Etc […] ‎, page 14

―Answer was made, She wolde be muche bounden to me if I wolde maintaine ye Rightes of my Familie, and lett all others from usinge of my propertie, when perceivinge Her to be of a livelie Witt, I went about to ingage her in converse, if onlie so I mighte looke into Her Eyes, wh. were of a coloure suche as I have never seene before, more like to a Pansie, or some such flower, than anything else I can compair with them.

1897, H. C. Bunner, “Love in Old Cloathes”, in Constance Fenimore Woolson, editor, Stories by American Authors (Volume 4)‎