Definition of "extreame"

The I understanding the cause of his miserable estate, sayd unto him, In faith thou art worthy to sustaine the most extreame misery and calamity, which hast defiled and maculated thyne owne body, forsaken thy wife traitorously, and dishonoured thy children, parents, and friends, for the love of a vile harlot and old strumpet.

1566, William Adlington, The Golden Asse‎

For these last 4 dayes the weather hath bene extreame hot and very calme, the Sunne being 5 degrees aboue the horison at midnight.

1598, Richard Hakluyt, The Principal Navigations, Voyages, Traffiques, and Discoveries of The English Nation, Vol. XII., America, Part I.‎

Now were there any one of so tender or cheverell a conscience, to whome no cure might seeme worthy of so extreame a remedy, I should prise or regard him no whit the lesse.

1603, Michel de Montaigne, translated by John Florio, Essays, III.1