'Up and down' definitions:

Definition of 'up and down'

adverb

Moving backward and forward along a given course; "he walked up and down the locker room"; "all up and down the Eastern seaboard"

adverb

Alternately upward and downward; "he eyed him up and down"

Definition of 'Up and down'

From: GCIDE

Up \Up\ ([u^]p), adv. [AS. up, upp, [=u]p; akin to OFries. up, op, D. op, OS. [=u]p, OHG. [=u]f, G. auf, Icel. & Sw. upp, Dan. op, Goth. iup, and probably to E. over. See Over.] [1913 Webster]
1. Aloft; on high; in a direction contrary to that of gravity; toward or in a higher place or position; above; -- the opposite of down. [1913 Webster]
But up or down, By center or eccentric, hard to tell. --Milton. [1913 Webster]
2. Hence, in many derived uses, specifically: [1913 Webster] (a) From a lower to a higher position, literally or figuratively; as, from a recumbent or sitting position; from the mouth, toward the source, of a river; from a dependent or inferior condition; from concealment; from younger age; from a quiet state, or the like; -- used with verbs of motion expressed or implied. [1913 Webster]
But they presumed to go up unto the hilltop. --Num. xiv. 44. [1913 Webster]
I am afflicted and ready to die from my youth up. --Ps. lxxxviii. 15. [1913 Webster]
Up rose the sun, and up rose Emelye. --Chaucer. [1913 Webster]
We have wrought ourselves up into this degree of Christian indifference. --Atterbury. [1913 Webster] (b) In a higher place or position, literally or figuratively; in the state of having arisen; in an upright, or nearly upright, position; standing; mounted on a horse; in a condition of elevation, prominence, advance, proficiency, excitement, insurrection, or the like; -- used with verbs of rest, situation, condition, and the like; as, to be up on a hill; the lid of the box was up; prices are up. [1913 Webster]
And when the sun was up, they were scorched. --Matt. xiii. 6. [1913 Webster]
Those that were up themselves kept others low. --Spenser. [1913 Webster]
Helen was up -- was she? --Shak. [1913 Webster]
Rebels there are up, And put the Englishmen unto the sword. --Shak. [1913 Webster]
His name was up through all the adjoining provinces, even to Italy and Rome; many desiring to see who he was that could withstand so many years the Roman puissance. --Milton. [1913 Webster]
Thou hast fired me; my soul's up in arms. --Dryden. [1913 Webster]
Grief and passion are like floods raised in little brooks by a sudden rain; they are quickly up. --Dryden. [1913 Webster]
A general whisper ran among the country people, that Sir Roger was up. --Addison. [1913 Webster]
Let us, then, be up and doing, With a heart for any fate. --Longfellow. [1913 Webster] (c) To or in a position of equal advance or equality; not short of, back of, less advanced than, away from, or the like; -- usually followed by to or with; as, to be up to the chin in water; to come up with one's companions; to come up with the enemy; to live up to engagements. [1913 Webster]
As a boar was whetting his teeth, up comes a fox to him. --L'Estrange. [1913 Webster] (d) To or in a state of completion; completely; wholly; quite; as, in the phrases to eat up; to drink up; to burn up; to sum up; etc.; to shut up the eyes or the mouth; to sew up a rent. [1913 Webster]
Note: Some phrases of this kind are now obsolete; as, to spend up (--Prov. xxi. 20); to kill up (--B. Jonson). [1913 Webster] (e) Aside, so as not to be in use; as, to lay up riches; put up your weapons. [1913 Webster]
Note: Up is used elliptically for get up, rouse up, etc., expressing a command or exhortation. "Up, and let us be going." --Judg. xix. 28. [1913 Webster]
Up, up, my friend! and quit your books, Or surely you 'll grow double. --Wordsworth. [1913 Webster]
It is all up with him, it is all over with him; he is lost.
The time is up, the allotted time is past.
To be up in, to be informed about; to be versed in. "Anxious that their sons should be well up in the superstitions of two thousand years ago." --H. Spencer.
To be up to. (a) To be equal to, or prepared for; as, he is up to the business, or the emergency. [Colloq.] (b) To be engaged in; to purpose, with the idea of doing ill or mischief; as, I don't know what he's up to. [Colloq.]
To blow up. (a) To inflate; to distend. (b) To destroy by an explosion from beneath. (c) To explode; as, the boiler blew up. (d) To reprove angrily; to scold. [Slang]
To bring up. See under Bring, v. t.
To come up with. See under Come, v. i.
To cut up. See under Cut, v. t. & i.
To draw up. See under Draw, v. t.
To grow up, to grow to maturity.
Up anchor (Naut.), the order to man the windlass preparatory to hauling up the anchor.
Up and down. (a) First up, and then down; from one state or position to another. See under Down, adv.
Fortune . . . led him up and down. --Chaucer. [1913 Webster] (b) (Naut.) Vertical; perpendicular; -- said of the cable when the anchor is under, or nearly under, the hawse hole, and the cable is taut. --Totten.
Up helm (Naut.), the order given to move the tiller toward the upper, or windward, side of a vessel.
Up to snuff. See under Snuff. [Slang]
{What is up?} What is going on? [Slang] [1913 Webster]

Definition of 'Up and down'

From: GCIDE

Down \Down\, adv. [For older adown, AS. ad[=u]n, ad[=u]ne, prop., from or off the hill. See 3d Down, and cf. Adown, and cf. Adown.]
1. In the direction of gravity or toward the center of the earth; toward or in a lower place or position; below; -- the opposite of up. [1913 Webster]
2. Hence, in many derived uses, as: (a) From a higher to a lower position, literally or figuratively; in a descending direction; from the top of an ascent; from an upright position; to the ground or floor; to or into a lower or an inferior condition; as, into a state of humility, disgrace, misery, and the like; into a state of rest; -- used with verbs indicating motion. [1913 Webster]
It will be rain to-night. Let it come down. --Shak. [1913 Webster]
I sit me down beside the hazel grove. --Tennyson. [1913 Webster]
And that drags down his life. --Tennyson. [1913 Webster]
There is not a more melancholy object in the learned world than a man who has written himself down. --Addison. [1913 Webster]
The French . . . shone down [i. e., outshone] the English. --Shak. (b) In a low or the lowest position, literally or figuratively; at the bottom of a descent; below the horizon; on the ground; in a condition of humility, dejection, misery, and the like; in a state of quiet. [1913 Webster]
I was down and out of breath. --Shak. [1913 Webster]
The moon is down; I have not heard the clock. --Shak. [1913 Webster]
He that is down needs fear no fall. --Bunyan. [1913 Webster]
3. From a remoter or higher antiquity. [1913 Webster]
Venerable men! you have come down to us from a former generation. --D. Webster. [1913 Webster]
4. From a greater to a less bulk, or from a thinner to a thicker consistence; as, to boil down in cookery, or in making decoctions. --Arbuthnot. [1913 Webster]
Note: Down is sometimes used elliptically, standing for go down, come down, tear down, take down, put down, haul down, pay down, and the like, especially in command or exclamation.
Down, therefore, and beg mercy of the duke. --Shak. [1913 Webster]
If he be hungry more than wanton, bread alone will down. --Locke. Down is also used intensively; as, to be loaded down; to fall down; to hang down; to drop down; to pay down.
The temple of Her[`e] at Argos was burnt down. --Jowett (Thucyd.). Down, as well as up, is sometimes used in a conventional sense; as, down East.
Persons in London say down to Scotland, etc., and those in the provinces, up to London. --Stormonth. [1913 Webster]
Down helm (Naut.), an order to the helmsman to put the helm to leeward.
Down on or Down upon (joined with a verb indicating motion, as go, come, pounce), to attack, implying the idea of threatening power. [1913 Webster]
Come down upon us with a mighty power. --Shak.
Down with, take down, throw down, put down; -- used in energetic command, often by people aroused in crowds, referring to people, laws, buildings, etc.; as, down with the king! "Down with the palace; fire it." --Dryden.
To be down on, to dislike and treat harshly. [Slang, U.S.]
To cry down. See under Cry, v. t.
To cut down. See under Cut, v. t.
Up and down, with rising and falling motion; to and fro; hither and thither; everywhere. "Let them wander up and down." --Ps. lix. 15. [1913 Webster]

Synonyms of 'up and down'

From: Moby Thesaurus