Definition of "peremptorily"

[…] that you doe not peremptorily break off, in any Businesse, in a Fitt of Anger: But howsoever you shew Bitternes, do not Act any thing, that is not Revocable.

1597, Francis Bacon, Essays, New York: T.Y. Cromwell, 1901, LVII, "Of Anger", p. 233

I shall not peremptorily deny, that from most of such mixt bodies as partake either of animal or vegetable nature, there may by the help of the fire be actually obtained a determinate number […] of substances, worthy of differing denominations.

1661, Robert Boyle, The Sceptical Chymist‎, London: J.M. Dent & Sons, published 1911, page 34

How have I offended you? Twice have I called this morning, and each time you have been peremptorily denied.

1837, L[etitia] E[lizabeth] L[andon], “Discovery”, in Ethel Churchill: Or, The Two Brides. […], volume III, London: Henry Colburn, […], page 165

[…] the door-bell jingled peremptorily, and the girl left waiting on the table to go and answer it.

1885, William Dean Howells, chapter XIII, in The Rise of Silas Lapham‎

"Never mind that!" here peremptorily broke in the superior, his face altering with anger […]

1888–1891, Herman Melville, “[Billy Budd, Foretopman.] Chapter XVI.”, in Billy Budd and Other Stories, London: John Lehmann, published 1951