on the point of

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on the point of (doing something)

Ready or about to do something. I'm sorry I'm running late—I was on the point of getting in the shower when the doorbell rang. We have several products on the point of becoming global successes. We just need another strong marketing push.
See also: of, on, point
Farlex Dictionary of Idioms. © 2015 Farlex, Inc, all rights reserved.

on the point of

Also, at the point of. On the verge of, close to, as in I was on the point of leaving when the phone rang. The first term dates from the late 1200s, the second from the first half of the 1500s.
See also: of, on, point
The American Heritage® Dictionary of Idioms by Christine Ammer. Copyright © 2003, 1997 by The Christine Ammer 1992 Trust. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
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References in classic literature ?
In a voyager to forget these things is base ingratitude; for should he chance to be at the point of shipwreck on some unknown coast, he will most devoutly pray that the lesson of the missionary may have extended thus far.
However, admirable as the Paris of to-day may seem to you, reconstruct the Paris of the fifteenth century, call it up before you in thought; look at the sky athwart that surprising forest of spires, towers, and belfries; spread out in the centre of the city, tear away at the point of the islands, fold at the arches of the bridges, the Seine, with its broad green and yellow expanses, more variable than the skin of a serpent; project clearly against an azure horizon the Gothic profile of this ancient Paris.