re-, red-

(Latin: back, backward, again; used as a prefix)

recalcitrant
1. Marked by stubborn resistance to and defiance of authority or guidance.
2. Stubbornly resisting the authority of another person or group.
3. Resisting authority or control; not obedient or compliant.
4. Difficult to deal with or to operate.
5. Etymology: from French récalcitrant; literally, "kicking back", past participle of recalcitrare, "to kick back"; from re-, "back" + Latin calcitrare, "to kick"; from calx, calcis, "heel".

Being "stubborn as a mule" is a good example of being recalcitrant.

recant (verb), recants; recanted; recanting
1. To formally reject or to disavow a formerly held belief, usually under pressure: The witness was pressured to recant her testimony in court.
2. To deny believing in something or to withdraw something previously said: When confronted with new evidence, the spy recanted her evidence which had sounded so believable before.
3. To make a formal retraction or disavowal of a previously held statement or belief: The senator agreed to recant his allegations about the President and signed a formal statement indicating his new position.
4. Etymology: from about 1535, from Latin recantare, "to recall, to revoke"; from re-, "back" + cantare, "to sing, to chant".

A loan-translation of Greek palinoidein, "recant", from palin, "back" + oeidein, "to sing".

To openly take back or to retract a promise.
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To withdraw a statement or belief that was formerly thought to be true.
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recapitulate (verb), recapitulates; recapitulated; recapitulating
1. To summarize the main ideas: When the professor had finished his lecture, a student recapitulated the talk in a few words.
2. To repeat briefly: The speaker was told that his point was understood and that it was not necessary to recapitulate anything.
3. Etymology: from Latin recapitulare, "to sum up"; from re-, "again" + capitulare, "to draw up under headings"; from capitulum, "little head", "chapter"; from caput, "head".
To summarize or to briefly repeat statements.
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recapitulation
recede (verb), recedes; receded; receding
1. To move back or away from a limit, point, or mark; for example, the people waited for the flood waters to recede before they could return to their homes.
2. To slope backward.
3. To become or seem to become fainter or more distant.
4. To withdraw or to retreat.
5. Etymology: from French receder, from Latin recedere, "to go back, to withdraw"; from re-, "back" + cedere, "to go".
receipt (s) (noun), receipts (pl)
receive (verb), receives; received; receiving
1. To get, to acquire, or to take into one's possession: "Jane received many birthday gifts."
2. Etymology: from Old North French (the dialect of northern France before the 1500s), receivre, Old French recoivre; from Latin recipere, receptus "to regain, to take back, to recover, to take in"; from re-, "back" + -cipere, a combining form of capere, "to take".
reciprocal (adjective) (not comparable)
1. A reference to something that is mutual or done in return; given or felt by each toward the other; mutual: James and Jerry had a reciprocal respect for each other.
2. Given, performed, felt, etc., in return; given or shown by each of two sides or people to the other.
3. Conveying a corresponding; matching; complementary; equivalent: The members of the fitness studio were able to have reciprocal privileges at other health clubs.
4. In grammar, with reference to a pronoun or verb; expressing mutual relationship or action: "Each other” and “one another” are reciprocal pronouns.
5. Inversely related or proportional; opposite.
6. Etymology: from Latin reciprocus, "turning back the same way, alternating", which stands for reco-procos and is a compound of the adjectives recos, "turning backward", and procos, "turning forward"; therefore, reciprocus originally meant "turning backward and forward".

Reciprocal, when all things are considered, is a compound adjective based on the elements re-, "back, backward" and pro-, "for, forward".

Shared by both sides, mutual agreement.
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reciprocality (s) (noun), reciprocalities (pl)
A relation of mutual dependence or action or influence.
reciprocally (adverb), more reciprocally, most reciprocally
Descriptive of what affects the other and is equally affected by it; interchangeably; mutually.
reciprocalness (s) (noun) (no plural)
The quality or condition of being equally mutual in returning something.
reciprocate (ri SIP ruh kayt") (verb), reciprocates; reciprocated; reciprocating
1. To give, to feel, to do something similar in return for what each one has done to the other one: Monica was treated very nicely by her boyfriend and so she reciprocated by giving him a hug.

Anyone who reciprocates is returning the same kind of treatment that another person has done to him or to her, whether it is good or bad.

2. To interchange; each person or group giving or doing to the other the same thing; to give, to feel, etc., in return.
3. Etymology: from Latin reciprocare "to move back" and "forth"; from re-, "backward" + pro, "forward" + -cate, "normally a verb ending".
To mutually interchange by giving and receiving the same thing to each other.
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To return something done or given by repaying it back.
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reciprocating (adjective), more reciprocating, most reciprocating
Pertaining to something that causes or moves backward and forward.
reciprocation (s) (noun), reciprocations (pl)
1. An action or an arrangement that involves two people or groups of people who behave in the same way or agree to help each other and give each other advantages.
2. A returning, usually for something given.
3. A mutual giving and receiving.
4. In prosthodontics, the means by which one part of an appliance is made to counter the effect created by another part.

Prosthodontics refers to a dental specialty concerned with the restoration and maintenance of oral function by the replacement of missing teeth and structures by artificial devices or prostheses.

5. In electronics, a process by which a reciprocal impedance (or network) is derived from a given impedance (or network).
reciprocative (adjective), more reciprocative, most reciprocative
Given or done or owed to each other.