The difference between Ball and Screw
When used as nouns, ball means a quantity of string, thread, etc., wound into a spherical shape, whereas screw means a simple machine, a helical inclined plane.
When used as verbs, ball means to form or wind into a ball, whereas screw means to connect or assemble pieces using a screw.
Ball is also interjection with the meaning: an appeal by the crowd for holding the ball against a tackled player. this is heard almost any time an opposition player is tackled, without regard to whether the rules about "prior opportunity" to dispose of the ball are fulfilled.
check bellow for the other definitions of Ball and Screw
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Ball as a noun (ballistics):
A solid or hollow sphere, or part thereof. A quantity of string, thread, etc., wound into a spherical shape. A solid, spherical nonexplosive missile for a cannon, etc. # A jacketed non-expanding bullet, typically of military origin. # Such bullets collectively. #* 1659, , England's Confusion, London, p.7,[http://name.umdl.umich.edu/A69468.0001.001] #*: the Good Old Cause, which, as they seemed to represent it, smelt of Gunpowder and ball #* 1719, , , London: W. Taylor, p.294,[http://name.umdl.umich.edu/004845034.0001.000] #*: I gave each of them a Musket with a Firelock on it, and about eight Charges of Powder and Ball, charging them to be very good Husbands of both, and not to use either of them but upon urgent Occasion. #* 1803, , The History of the Maroons, London: Longman and Rees, Volume 1, Letter 5, p.148,[https://archive.org/details/cihm_44228] #*: some headstrong Maroons were using a soldier of Captain Craskell's ill, and compelling him to write to his commander, that it was too late to do any thing good, and that they wanted nothing, having got plenty of powder and ball A roundish protuberant portion of some part of the body. The front of the bottom of the foot, just behind the toes. The globe; the earthly sphere. The set of points in a metric space lying within a given distance (the radius) of a given point; specifically, the homologue of the disk in a Euclidean space of any number of dimensions. The set of points in a topological space lying within some open set containing a given point; the analogue of the disk in a Euclidean space. An object, generally spherical, used for playing games.
Examples:
"a ball of spittle; a fecal ball'"
"a ball of wool; a ball of twine"
"the ball of the thumb; the ball of the foot"
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Ball as a noun (sport):
A round or ellipsoidal object. Any simple game involving a ball. A pitch that falls outside of the strike zone. An opportunity to launch the pinball into play. A single delivery by the bowler, six of which make up an over. A pass; a kick of the football towards a teammate.
Examples:
"The children were playing ball on the beach."
"The children were playing ball in the garden."
"If you get to a million points, you get another ball."
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Ball as a noun (mildly, vulgar, slang, usually in plural):
A testicle. Nonsense. Courage.
Examples:
"That’s a load of balls, and you know it!"
"I doubt he’s got the balls to tell him off."
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Ball as a noun (printing, historical):
A leather-covered cushion, fastened to a handle called a ballstock; formerly used by printers for inking the form, then superseded by the roller.
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Ball as a noun (farriery, historical):
A large pill, a form in which medicine was given to horses; a bolus.
Examples:
"rfquotek White"
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Ball as a verb (transitive):
To form or wind into a ball.
Examples:
"to ball cotton"
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Ball as a verb (metalworking):
To heat in a furnace and form into balls for rolling.
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Ball as a verb (transitive, vulgar):
To have sexual intercourse with.
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Ball as a verb (ambitransitive):
To gather balls which cling to the feet, as of damp snow or clay; to gather into balls.
Examples:
"The horse balls; the snow balls."
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Ball as a verb (slang, usually in present participle):
To be hip or cool.
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Ball as a verb (nonstandard, slang):
To play basketball.
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Ball as a noun:
A formal dance.
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Ball as a noun (informal):
A very enjoyable time.
Examples:
"I had a ball at that concert."
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Screw as a noun (nautical):
A device that has a helical function. A simple machine, a helical inclined plane. A (usually) metal fastener consisting of a shank partially or completely threaded shank, sometimes with a threaded point, and a head used to both hold the top material and to drive the screw either directly into a soft material or into a prepared hole. A ship's propeller. An Archimedes screw. A steam vessel propelled by a screw instead of wheels.
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Screw as a noun (derogatory):
A prison guard.
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Screw as a noun (derogatory):
An extortioner; a sharp bargainer; a skinflint.
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Screw as a noun (US, slang, dated):
An instructor who examines with great or unnecessary severity; also, a searching or strict examination of a student by an instructor.
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Screw as a noun (vulgar, slang):
Sexual intercourse; the act of screwing.
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Screw as a noun (vulgar, slang):
A casual sexual partner.
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Screw as a noun (slang):
Salary, wages.
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Screw as a noun (billiards):
Backspin.
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Screw as a noun (slang):
A small packet of tobacco.
Examples:
"rfquotek Mayhew"
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Screw as a noun (dated):
An old, worn-out, unsound and worthless horse.
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Screw as a noun (math):
A straight line in space with which a definite linear magnitude termed the pitch is associated. It is used to express the displacement of a rigid body, which may always be made to consist of a rotation about an axis combined with a translation parallel to that axis.
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Screw as a noun:
An amphipod crustacean.
Examples:
"the skeleton screw (Caprella);  the sand screw'"
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Screw as a verb (transitive):
To connect or assemble pieces using a screw.
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Screw as a verb (transitive, vulgar, slang):
To have sexual intercourse with.
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Screw as a verb (transitive, slang):
To cheat someone or ruin their chances in a game or other situation. Sometimes used in the form "screw over".
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Screw as a verb (transitive):
To apply pressure on; to put the screws on.
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Screw as a verb:
To practice extortion upon; to oppress by unreasonable or extortionate exactions.
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Screw as a verb (transitive):
To contort.
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Screw as a verb (soccer, transitive):
To miskick (a ball) by hitting it with the wrong part of the foot.
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Screw as a verb (billiard, snooker, pool):
To screw back.
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Screw as a verb (US, slang, dated):
To examine (a student) rigidly; to subject to a severe examination.