To take aim with a rifle.

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1841.  I made several attempts to get near enough to “draw a bead” upon one of them [praire dogs]; and just before I was ready to fire (and as if they knew the utmost limits of their safety), they sprang down into their holes.—Catlin, ‘North American Indians’ (1844), i. 77. (N.E.D.)

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1844.  To “draw a bead” upon a Mayor or President, is far from unfrequent, and will become quite fashionable when the amiable and salutary plea of insanity shall be established upon a firmer basis.—Watmough, ‘Scribblings and Sketches,’ p. 180 (Phila.).

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1851.  I drew a bead on an old wolf, and let him have it just behind the left fore leg; he gave one short breath, and it was the last act of his life.—M. L. Byrn, ‘An Arkansaw Doctor,’ p. 113.

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1854.  A double-barrelled spy-glass … levelled at him by a man at the head of the table, who stood up to draw a bead on him.—J. G. Baldwin, ‘Flush Times,’ p. 188.

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1856.  An armed man, armed to the teeth, with gun and pistol, and with the bead drawn upon every enemy present.—W. G. Simms, ‘Eutaw,’ p. 32 (N.Y.).

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1856.  It is now six weeks since I drew the bead on you. Your shot struck me on the collar-bone and slivered it as if it had been paper.—Knick. Mag., xlviii. 135 (Aug.).

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1861.  One big man, in a fur coat, who was sitting near me, said, “Well, darn me if I wouldn’t draw a bead on Old Abe, Seward—aye, or General Scott himself, though I’ve got a perty good thing out of them, if they due try to use their soldiers and sailors to beat down States’ Rights. If they want to go they’ve a right to go.”—W. H. Russell, ‘My Diary, North and South,’ April 12.

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1861.  A sentry on the end of a wooden jetty sung out, “Hallo you there! Stand off or I’ll fire,” and “drew a bead-line on us.”—Id., May 16.

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1869.  He did not fire, however, but told Steel to pass, which he did in safety, with a “dead bead” drawn on him until he was out of range.—A. K. McClure, ‘Rocky Mountains,’ p. 81.

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1878.  “If Bob Rock draws a bead on him, he’s gone,” was the general verdict.—J. H. Beadle, ‘Western Wilds,’ p. 415.

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