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ReciprocalInverse In*verse", a. [L. inversus, p. p. of invertere: cf. F.
inverse. See Invert.]
1. Opposite in order, relation, or effect; reversed;
inverted; reciprocal; -- opposed to direct.
2. (Bot.) Inverted; having a position or mode of attachment
the reverse of that which is usual.
3. (Math.) Opposite in nature and effect; -- said with
reference to any two operations, which, when both are
performed in succession upon any quantity, reproduce that
quantity; as, multiplication is the inverse operation to
division. The symbol of an inverse operation is the symbol
of the direct operation with -1 as an index. Thus sin-1 x
means the arc whose sine is x.
Inverse figures (Geom.), two figures, such that each point
of either figure is inverse to a corresponding point in
the order figure.
Inverse points (Geom.), two points lying on a line drawn
from the center of a fixed circle or sphere, and so
related that the product of their distances from the
center of the circle or sphere is equal to the square of
the radius.
Inverse, or Reciprocal, ratio (Math.), the ratio of the
reciprocals of two quantities.
Inverse, or Reciprocal, proportion, an equality between
a direct ratio and a reciprocal ratio; thus, 4 : 2 : : 1/3
: 1/6, or 4 : 2 : : 3 : 6, inversely. ReciprocalInverse In*verse", a. [L. inversus, p. p. of invertere: cf. F.
inverse. See Invert.]
1. Opposite in order, relation, or effect; reversed;
inverted; reciprocal; -- opposed to direct.
2. (Bot.) Inverted; having a position or mode of attachment
the reverse of that which is usual.
3. (Math.) Opposite in nature and effect; -- said with
reference to any two operations, which, when both are
performed in succession upon any quantity, reproduce that
quantity; as, multiplication is the inverse operation to
division. The symbol of an inverse operation is the symbol
of the direct operation with -1 as an index. Thus sin-1 x
means the arc whose sine is x.
Inverse figures (Geom.), two figures, such that each point
of either figure is inverse to a corresponding point in
the order figure.
Inverse points (Geom.), two points lying on a line drawn
from the center of a fixed circle or sphere, and so
related that the product of their distances from the
center of the circle or sphere is equal to the square of
the radius.
Inverse, or Reciprocal, ratio (Math.), the ratio of the
reciprocals of two quantities.
Inverse, or Reciprocal, proportion, an equality between
a direct ratio and a reciprocal ratio; thus, 4 : 2 : : 1/3
: 1/6, or 4 : 2 : : 3 : 6, inversely. Reciprocal
Reciprocal Re*cip"ro*cal, n.
1. That which is reciprocal to another thing.
Corruption is a reciprocal to generation. --Bacon.
2. (Arith. & Alg.) The quotient arising from dividing unity
by any quantity; thus 3/4 is the reciprocal of 4; 1/(a +
b) is the reciprocal of a + b. The reciprocal of a
fraction is the fraction inverted, or the denominator
divided by the numerator.
ReciprocalReciprocal Re*cip"ro*cal, a. [L. reciprocus; of unknown
origin.]
1. Recurring in vicissitude; alternate.
2. Done by each to the other; interchanging or interchanged;
given and received; due from each to each; mutual; as,
reciprocal love; reciprocal duties.
Let our reciprocal vows be remembered. --Shak.
3. Mutually interchangeable.
These two rules will render a definition reciprocal
with the thing defined. --I. Watts.
4. (Gram.) Reflexive; -- applied to pronouns and verbs, but
sometimes limited to such pronouns as express mutual
action.
5. (Math.) Used to denote different kinds of mutual relation;
often with reference to the substitution of reciprocals
for given quantities. See the Phrases below.
Reciprocal equation (Math.), one which remains unchanged in
form when the reciprocal of the unknown quantity is
substituted for that quantity.
Reciprocal figures (Geom.), two figures of the same kind
(as triangles, parallelograms, prisms, etc.), so related
that two sides of the one form the extremes of a
proportion of which the means are the two corresponding
sides of the other; in general, two figures so related
that the first corresponds in some special way to the
second, and the second corresponds in the same way to the
first.
Reciprocal proportion (Math.), a proportion such that, of
four terms taken in order, the first has to the second the
same ratio which the fourth has to the third, or the first
has to the second the same ratio which the reciprocal of
the third has to the reciprocal of the fourth. Thus, 2:5:
:20:8 form a reciprocal proportion, because 2:5:
:1/20:1/8.
Reciprocal quantities (Math.), any two quantities which
produce unity when multiplied together.
Reciprocal ratio (Math.), the ratio between the reciprocals
of two quantities; as, the reciprocal ratio of 4 to 9 is
that of 3/4 to 1/9.
Reciprocal terms (Logic), those terms which have the same
signification, and, consequently, are convertible, and may
be used for each other.
Syn: Mutual; alternate.
Usage: Reciprocal, Mutual. The distinctive idea of mutual
is, that the parties unite by interchange in the same
act; as, a mutual covenant; mutual affection, etc. The
distinctive idea of reciprocal is, that one party acts
by way of return or response to something previously
done by the other party; as, a reciprocal kindness;
reciprocal reproaches, etc. Love is reciprocal when
the previous affection of one party has drawn forth
the attachment of the other. To make it mutual in the
strictest sense, the two parties should have fallen in
love at the same time; but as the result is the same,
the two words are here used interchangeably. The
ebbing and flowing of the tide is a case where the
action is reciprocal, but not mutual. Reciprocal equationReciprocal Re*cip"ro*cal, a. [L. reciprocus; of unknown
origin.]
1. Recurring in vicissitude; alternate.
2. Done by each to the other; interchanging or interchanged;
given and received; due from each to each; mutual; as,
reciprocal love; reciprocal duties.
Let our reciprocal vows be remembered. --Shak.
3. Mutually interchangeable.
These two rules will render a definition reciprocal
with the thing defined. --I. Watts.
4. (Gram.) Reflexive; -- applied to pronouns and verbs, but
sometimes limited to such pronouns as express mutual
action.
5. (Math.) Used to denote different kinds of mutual relation;
often with reference to the substitution of reciprocals
for given quantities. See the Phrases below.
Reciprocal equation (Math.), one which remains unchanged in
form when the reciprocal of the unknown quantity is
substituted for that quantity.
Reciprocal figures (Geom.), two figures of the same kind
(as triangles, parallelograms, prisms, etc.), so related
that two sides of the one form the extremes of a
proportion of which the means are the two corresponding
sides of the other; in general, two figures so related
that the first corresponds in some special way to the
second, and the second corresponds in the same way to the
first.
Reciprocal proportion (Math.), a proportion such that, of
four terms taken in order, the first has to the second the
same ratio which the fourth has to the third, or the first
has to the second the same ratio which the reciprocal of
the third has to the reciprocal of the fourth. Thus, 2:5:
:20:8 form a reciprocal proportion, because 2:5:
:1/20:1/8.
Reciprocal quantities (Math.), any two quantities which
produce unity when multiplied together.
Reciprocal ratio (Math.), the ratio between the reciprocals
of two quantities; as, the reciprocal ratio of 4 to 9 is
that of 3/4 to 1/9.
Reciprocal terms (Logic), those terms which have the same
signification, and, consequently, are convertible, and may
be used for each other.
Syn: Mutual; alternate.
Usage: Reciprocal, Mutual. The distinctive idea of mutual
is, that the parties unite by interchange in the same
act; as, a mutual covenant; mutual affection, etc. The
distinctive idea of reciprocal is, that one party acts
by way of return or response to something previously
done by the other party; as, a reciprocal kindness;
reciprocal reproaches, etc. Love is reciprocal when
the previous affection of one party has drawn forth
the attachment of the other. To make it mutual in the
strictest sense, the two parties should have fallen in
love at the same time; but as the result is the same,
the two words are here used interchangeably. The
ebbing and flowing of the tide is a case where the
action is reciprocal, but not mutual. Reciprocal figuresReciprocal Re*cip"ro*cal, a. [L. reciprocus; of unknown
origin.]
1. Recurring in vicissitude; alternate.
2. Done by each to the other; interchanging or interchanged;
given and received; due from each to each; mutual; as,
reciprocal love; reciprocal duties.
Let our reciprocal vows be remembered. --Shak.
3. Mutually interchangeable.
These two rules will render a definition reciprocal
with the thing defined. --I. Watts.
4. (Gram.) Reflexive; -- applied to pronouns and verbs, but
sometimes limited to such pronouns as express mutual
action.
5. (Math.) Used to denote different kinds of mutual relation;
often with reference to the substitution of reciprocals
for given quantities. See the Phrases below.
Reciprocal equation (Math.), one which remains unchanged in
form when the reciprocal of the unknown quantity is
substituted for that quantity.
Reciprocal figures (Geom.), two figures of the same kind
(as triangles, parallelograms, prisms, etc.), so related
that two sides of the one form the extremes of a
proportion of which the means are the two corresponding
sides of the other; in general, two figures so related
that the first corresponds in some special way to the
second, and the second corresponds in the same way to the
first.
Reciprocal proportion (Math.), a proportion such that, of
four terms taken in order, the first has to the second the
same ratio which the fourth has to the third, or the first
has to the second the same ratio which the reciprocal of
the third has to the reciprocal of the fourth. Thus, 2:5:
:20:8 form a reciprocal proportion, because 2:5:
:1/20:1/8.
Reciprocal quantities (Math.), any two quantities which
produce unity when multiplied together.
Reciprocal ratio (Math.), the ratio between the reciprocals
of two quantities; as, the reciprocal ratio of 4 to 9 is
that of 3/4 to 1/9.
Reciprocal terms (Logic), those terms which have the same
signification, and, consequently, are convertible, and may
be used for each other.
Syn: Mutual; alternate.
Usage: Reciprocal, Mutual. The distinctive idea of mutual
is, that the parties unite by interchange in the same
act; as, a mutual covenant; mutual affection, etc. The
distinctive idea of reciprocal is, that one party acts
by way of return or response to something previously
done by the other party; as, a reciprocal kindness;
reciprocal reproaches, etc. Love is reciprocal when
the previous affection of one party has drawn forth
the attachment of the other. To make it mutual in the
strictest sense, the two parties should have fallen in
love at the same time; but as the result is the same,
the two words are here used interchangeably. The
ebbing and flowing of the tide is a case where the
action is reciprocal, but not mutual. Reciprocal proportionReciprocal Re*cip"ro*cal, a. [L. reciprocus; of unknown
origin.]
1. Recurring in vicissitude; alternate.
2. Done by each to the other; interchanging or interchanged;
given and received; due from each to each; mutual; as,
reciprocal love; reciprocal duties.
Let our reciprocal vows be remembered. --Shak.
3. Mutually interchangeable.
These two rules will render a definition reciprocal
with the thing defined. --I. Watts.
4. (Gram.) Reflexive; -- applied to pronouns and verbs, but
sometimes limited to such pronouns as express mutual
action.
5. (Math.) Used to denote different kinds of mutual relation;
often with reference to the substitution of reciprocals
for given quantities. See the Phrases below.
Reciprocal equation (Math.), one which remains unchanged in
form when the reciprocal of the unknown quantity is
substituted for that quantity.
Reciprocal figures (Geom.), two figures of the same kind
(as triangles, parallelograms, prisms, etc.), so related
that two sides of the one form the extremes of a
proportion of which the means are the two corresponding
sides of the other; in general, two figures so related
that the first corresponds in some special way to the
second, and the second corresponds in the same way to the
first.
Reciprocal proportion (Math.), a proportion such that, of
four terms taken in order, the first has to the second the
same ratio which the fourth has to the third, or the first
has to the second the same ratio which the reciprocal of
the third has to the reciprocal of the fourth. Thus, 2:5:
:20:8 form a reciprocal proportion, because 2:5:
:1/20:1/8.
Reciprocal quantities (Math.), any two quantities which
produce unity when multiplied together.
Reciprocal ratio (Math.), the ratio between the reciprocals
of two quantities; as, the reciprocal ratio of 4 to 9 is
that of 3/4 to 1/9.
Reciprocal terms (Logic), those terms which have the same
signification, and, consequently, are convertible, and may
be used for each other.
Syn: Mutual; alternate.
Usage: Reciprocal, Mutual. The distinctive idea of mutual
is, that the parties unite by interchange in the same
act; as, a mutual covenant; mutual affection, etc. The
distinctive idea of reciprocal is, that one party acts
by way of return or response to something previously
done by the other party; as, a reciprocal kindness;
reciprocal reproaches, etc. Love is reciprocal when
the previous affection of one party has drawn forth
the attachment of the other. To make it mutual in the
strictest sense, the two parties should have fallen in
love at the same time; but as the result is the same,
the two words are here used interchangeably. The
ebbing and flowing of the tide is a case where the
action is reciprocal, but not mutual. Reciprocal quantitiesReciprocal Re*cip"ro*cal, a. [L. reciprocus; of unknown
origin.]
1. Recurring in vicissitude; alternate.
2. Done by each to the other; interchanging or interchanged;
given and received; due from each to each; mutual; as,
reciprocal love; reciprocal duties.
Let our reciprocal vows be remembered. --Shak.
3. Mutually interchangeable.
These two rules will render a definition reciprocal
with the thing defined. --I. Watts.
4. (Gram.) Reflexive; -- applied to pronouns and verbs, but
sometimes limited to such pronouns as express mutual
action.
5. (Math.) Used to denote different kinds of mutual relation;
often with reference to the substitution of reciprocals
for given quantities. See the Phrases below.
Reciprocal equation (Math.), one which remains unchanged in
form when the reciprocal of the unknown quantity is
substituted for that quantity.
Reciprocal figures (Geom.), two figures of the same kind
(as triangles, parallelograms, prisms, etc.), so related
that two sides of the one form the extremes of a
proportion of which the means are the two corresponding
sides of the other; in general, two figures so related
that the first corresponds in some special way to the
second, and the second corresponds in the same way to the
first.
Reciprocal proportion (Math.), a proportion such that, of
four terms taken in order, the first has to the second the
same ratio which the fourth has to the third, or the first
has to the second the same ratio which the reciprocal of
the third has to the reciprocal of the fourth. Thus, 2:5:
:20:8 form a reciprocal proportion, because 2:5:
:1/20:1/8.
Reciprocal quantities (Math.), any two quantities which
produce unity when multiplied together.
Reciprocal ratio (Math.), the ratio between the reciprocals
of two quantities; as, the reciprocal ratio of 4 to 9 is
that of 3/4 to 1/9.
Reciprocal terms (Logic), those terms which have the same
signification, and, consequently, are convertible, and may
be used for each other.
Syn: Mutual; alternate.
Usage: Reciprocal, Mutual. The distinctive idea of mutual
is, that the parties unite by interchange in the same
act; as, a mutual covenant; mutual affection, etc. The
distinctive idea of reciprocal is, that one party acts
by way of return or response to something previously
done by the other party; as, a reciprocal kindness;
reciprocal reproaches, etc. Love is reciprocal when
the previous affection of one party has drawn forth
the attachment of the other. To make it mutual in the
strictest sense, the two parties should have fallen in
love at the same time; but as the result is the same,
the two words are here used interchangeably. The
ebbing and flowing of the tide is a case where the
action is reciprocal, but not mutual. Reciprocal ratioReciprocal Re*cip"ro*cal, a. [L. reciprocus; of unknown
origin.]
1. Recurring in vicissitude; alternate.
2. Done by each to the other; interchanging or interchanged;
given and received; due from each to each; mutual; as,
reciprocal love; reciprocal duties.
Let our reciprocal vows be remembered. --Shak.
3. Mutually interchangeable.
These two rules will render a definition reciprocal
with the thing defined. --I. Watts.
4. (Gram.) Reflexive; -- applied to pronouns and verbs, but
sometimes limited to such pronouns as express mutual
action.
5. (Math.) Used to denote different kinds of mutual relation;
often with reference to the substitution of reciprocals
for given quantities. See the Phrases below.
Reciprocal equation (Math.), one which remains unchanged in
form when the reciprocal of the unknown quantity is
substituted for that quantity.
Reciprocal figures (Geom.), two figures of the same kind
(as triangles, parallelograms, prisms, etc.), so related
that two sides of the one form the extremes of a
proportion of which the means are the two corresponding
sides of the other; in general, two figures so related
that the first corresponds in some special way to the
second, and the second corresponds in the same way to the
first.
Reciprocal proportion (Math.), a proportion such that, of
four terms taken in order, the first has to the second the
same ratio which the fourth has to the third, or the first
has to the second the same ratio which the reciprocal of
the third has to the reciprocal of the fourth. Thus, 2:5:
:20:8 form a reciprocal proportion, because 2:5:
:1/20:1/8.
Reciprocal quantities (Math.), any two quantities which
produce unity when multiplied together.
Reciprocal ratio (Math.), the ratio between the reciprocals
of two quantities; as, the reciprocal ratio of 4 to 9 is
that of 3/4 to 1/9.
Reciprocal terms (Logic), those terms which have the same
signification, and, consequently, are convertible, and may
be used for each other.
Syn: Mutual; alternate.
Usage: Reciprocal, Mutual. The distinctive idea of mutual
is, that the parties unite by interchange in the same
act; as, a mutual covenant; mutual affection, etc. The
distinctive idea of reciprocal is, that one party acts
by way of return or response to something previously
done by the other party; as, a reciprocal kindness;
reciprocal reproaches, etc. Love is reciprocal when
the previous affection of one party has drawn forth
the attachment of the other. To make it mutual in the
strictest sense, the two parties should have fallen in
love at the same time; but as the result is the same,
the two words are here used interchangeably. The
ebbing and flowing of the tide is a case where the
action is reciprocal, but not mutual. Reciprocal termsReciprocal Re*cip"ro*cal, a. [L. reciprocus; of unknown
origin.]
1. Recurring in vicissitude; alternate.
2. Done by each to the other; interchanging or interchanged;
given and received; due from each to each; mutual; as,
reciprocal love; reciprocal duties.
Let our reciprocal vows be remembered. --Shak.
3. Mutually interchangeable.
These two rules will render a definition reciprocal
with the thing defined. --I. Watts.
4. (Gram.) Reflexive; -- applied to pronouns and verbs, but
sometimes limited to such pronouns as express mutual
action.
5. (Math.) Used to denote different kinds of mutual relation;
often with reference to the substitution of reciprocals
for given quantities. See the Phrases below.
Reciprocal equation (Math.), one which remains unchanged in
form when the reciprocal of the unknown quantity is
substituted for that quantity.
Reciprocal figures (Geom.), two figures of the same kind
(as triangles, parallelograms, prisms, etc.), so related
that two sides of the one form the extremes of a
proportion of which the means are the two corresponding
sides of the other; in general, two figures so related
that the first corresponds in some special way to the
second, and the second corresponds in the same way to the
first.
Reciprocal proportion (Math.), a proportion such that, of
four terms taken in order, the first has to the second the
same ratio which the fourth has to the third, or the first
has to the second the same ratio which the reciprocal of
the third has to the reciprocal of the fourth. Thus, 2:5:
:20:8 form a reciprocal proportion, because 2:5:
:1/20:1/8.
Reciprocal quantities (Math.), any two quantities which
produce unity when multiplied together.
Reciprocal ratio (Math.), the ratio between the reciprocals
of two quantities; as, the reciprocal ratio of 4 to 9 is
that of 3/4 to 1/9.
Reciprocal terms (Logic), those terms which have the same
signification, and, consequently, are convertible, and may
be used for each other.
Syn: Mutual; alternate.
Usage: Reciprocal, Mutual. The distinctive idea of mutual
is, that the parties unite by interchange in the same
act; as, a mutual covenant; mutual affection, etc. The
distinctive idea of reciprocal is, that one party acts
by way of return or response to something previously
done by the other party; as, a reciprocal kindness;
reciprocal reproaches, etc. Love is reciprocal when
the previous affection of one party has drawn forth
the attachment of the other. To make it mutual in the
strictest sense, the two parties should have fallen in
love at the same time; but as the result is the same,
the two words are here used interchangeably. The
ebbing and flowing of the tide is a case where the
action is reciprocal, but not mutual. Reciprocality
Reciprocality Re*cip`ro*cal"i*ty, n.
The quality or condition of being reciprocal; reciprocalness.
[R.]
ReciprocallyReciprocally Re*cip"ro*cal*ly, adv.
1. In a reciprocal manner; so that each affects the other,
and is equally affected by it; interchangeably; mutually.
These two particles to reciprocally affect each
other with the same force. --Bentley.
2. (Math.) In the manner of reciprocals.
Reciprocally proportional (Arith. & Alg.), proportional, as
two variable quantities, so that the one shall have a
constant ratio to the reciprocal of the other. Reciprocally proportionalReciprocally Re*cip"ro*cal*ly, adv.
1. In a reciprocal manner; so that each affects the other,
and is equally affected by it; interchangeably; mutually.
These two particles to reciprocally affect each
other with the same force. --Bentley.
2. (Math.) In the manner of reciprocals.
Reciprocally proportional (Arith. & Alg.), proportional, as
two variable quantities, so that the one shall have a
constant ratio to the reciprocal of the other. Reciprocalness
Reciprocalness Re*cip"ro*cal*ness, n.
The quality or condition of being reciprocal; mutual return;
alternateness.
Reciprocate
Reciprocate Re*cip"ro*cate, v. t.
To give and return mutually; to make return for; to give in
return; to unterchange; to alternate; as, to reciprocate
favors. --Cowper.
ReciprocateReciprocate Re*cip"ro*cate, v. i. [imp. & p. p.
Reciprocated; p. pr. & vb. n. Reciprocating.] [L.
reciprocatus, p. p. of reciprocare. See Reciprocal.]
To move forward and backward alternately; to recur in
vicissitude; to act interchangeably; to alternate.
One brawny smith the puffing bellows plies, And draws
and blows reciprocating air. --Dryden.
Reciprocating engine, a steam, air, or gas engine, etc., in
which the piston moves back and forth; -- in distinction
from a rotary engine, in which the piston travels
continuously in one direction in a circular path.
Reciprocating motion (Mech.), motion alternately backward
and forward, or up and down, as of a piston rod. ReciprocatedReciprocate Re*cip"ro*cate, v. i. [imp. & p. p.
Reciprocated; p. pr. & vb. n. Reciprocating.] [L.
reciprocatus, p. p. of reciprocare. See Reciprocal.]
To move forward and backward alternately; to recur in
vicissitude; to act interchangeably; to alternate.
One brawny smith the puffing bellows plies, And draws
and blows reciprocating air. --Dryden.
Reciprocating engine, a steam, air, or gas engine, etc., in
which the piston moves back and forth; -- in distinction
from a rotary engine, in which the piston travels
continuously in one direction in a circular path.
Reciprocating motion (Mech.), motion alternately backward
and forward, or up and down, as of a piston rod. ReciprocatingReciprocate Re*cip"ro*cate, v. i. [imp. & p. p.
Reciprocated; p. pr. & vb. n. Reciprocating.] [L.
reciprocatus, p. p. of reciprocare. See Reciprocal.]
To move forward and backward alternately; to recur in
vicissitude; to act interchangeably; to alternate.
One brawny smith the puffing bellows plies, And draws
and blows reciprocating air. --Dryden.
Reciprocating engine, a steam, air, or gas engine, etc., in
which the piston moves back and forth; -- in distinction
from a rotary engine, in which the piston travels
continuously in one direction in a circular path.
Reciprocating motion (Mech.), motion alternately backward
and forward, or up and down, as of a piston rod. Reciprocating engineReciprocate Re*cip"ro*cate, v. i. [imp. & p. p.
Reciprocated; p. pr. & vb. n. Reciprocating.] [L.
reciprocatus, p. p. of reciprocare. See Reciprocal.]
To move forward and backward alternately; to recur in
vicissitude; to act interchangeably; to alternate.
One brawny smith the puffing bellows plies, And draws
and blows reciprocating air. --Dryden.
Reciprocating engine, a steam, air, or gas engine, etc., in
which the piston moves back and forth; -- in distinction
from a rotary engine, in which the piston travels
continuously in one direction in a circular path.
Reciprocating motion (Mech.), motion alternately backward
and forward, or up and down, as of a piston rod. Reciprocating motionReciprocate Re*cip"ro*cate, v. i. [imp. & p. p.
Reciprocated; p. pr. & vb. n. Reciprocating.] [L.
reciprocatus, p. p. of reciprocare. See Reciprocal.]
To move forward and backward alternately; to recur in
vicissitude; to act interchangeably; to alternate.
One brawny smith the puffing bellows plies, And draws
and blows reciprocating air. --Dryden.
Reciprocating engine, a steam, air, or gas engine, etc., in
which the piston moves back and forth; -- in distinction
from a rotary engine, in which the piston travels
continuously in one direction in a circular path.
Reciprocating motion (Mech.), motion alternately backward
and forward, or up and down, as of a piston rod. Reciprocation
Reciprocation Re*cip`ro*ca"tion, n. [L. reciprocatio: cf. F.
reciprocation.]
1. The act of reciprocating; interchange of acts; a mutual
giving and returning; as, the reciprocation of kindness.
2. Alternate recurrence or action; as, the reciprocation of
the sea in the flow and ebb of tides. --Sir T. Browne.
Meaning of Iproca from wikipedia