| slovo | definícia |
Equation of a curve
(gcide) | Equation \E*qua"tion\, n. [L. aequatio an equalizing: cf. F.
['e]quation equation. See Equate.]
1. A making equal; equal division; equality; equilibrium.
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Again the golden day resumed its right,
And ruled in just equation with the night. --Rowe.
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2. (Math.) An expression of the condition of equality between
two algebraic quantities or sets of quantities, the sign =
being placed between them; as, a binomial equation; a
quadratic equation; an algebraic equation; a
transcendental equation; an exponential equation; a
logarithmic equation; a differential equation, etc.
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3. (Astron.) A quantity to be applied in computing the mean
place or other element of a celestial body; that is, any
one of the several quantities to be added to, or taken
from, its position as calculated on the hypothesis of a
mean uniform motion, in order to find its true position as
resulting from its actual and unequal motion.
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Absolute equation. See under Absolute.
Equation box, or Equational box, a system of differential
gearing used in spinning machines for regulating the twist
of the yarn. It resembles gearing used in equation clocks
for showing apparent time.
Equation of the center (Astron.), the difference between
the place of a planet as supposed to move uniformly in a
circle, and its place as moving in an ellipse.
Equations of condition (Math.), equations formed for
deducing the true values of certain quantities from others
on which they depend, when different sets of the latter,
as given by observation, would yield different values of
the quantities sought, and the number of equations that
may be found is greater than the number of unknown
quantities.
Equation of a curve (Math.), an equation which expresses
the relation between the co["o]rdinates of every point in
the curve.
Equation of equinoxes (Astron.), the difference between the
mean and apparent places of the equinox.
Equation of payments (Arith.), the process of finding the
mean time of payment of several sums due at different
times.
Equation of time (Astron.), the difference between mean and
apparent time, or between the time of day indicated by the
sun, and that by a perfect clock going uniformly all the
year round.
Equation clock or Equation watch, a timepiece made to
exhibit the differences between mean solar and apparent
solar time. --Knight.
Normal equation. See under Normal.
Personal equation (Astron.), the difference between an
observed result and the true qualities or peculiarities in
the observer; particularly the difference, in an average
of a large number of observation, between the instant when
an observer notes a phenomenon, as the transit of a star,
and the assumed instant of its actual occurrence; or,
relatively, the difference between these instants as noted
by two observers. It is usually only a fraction of a
second; -- sometimes applied loosely to differences of
judgment or method occasioned by temperamental qualities
of individuals.
Theory of equations (Math.), the branch of algebra that
treats of the properties of a single algebraic equation of
any degree containing one unknown quantity.
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Intrinsic equation of a curve
(gcide) | Intrinsic \In*trin"sic\ ([i^]n*tr[i^]n"s[i^]k), a. [L.
intrinsecus inward, on the inside; intra within + secus
otherwise, beside; akin to E. second: cf. F. intrins[`e]que.
See Inter-, Second, and cf. Extrinsic.]
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1. Inward; internal; hence, true; genuine; real; essential;
inherent; not merely apparent or accidental; -- opposed to
extrinsic; as, the intrinsic value of gold or silver;
the intrinsic merit of an action; the intrinsic worth or
goodness of a person.
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He was better qualified than they to estimate justly
the intrinsic value of Grecian philosophy and
refinement. --I. Taylor.
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2. (Anat.) Included wholly within an organ or limb, as
certain groups of muscles; -- opposed to extrinsic.
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Intrinsic energy of a body (Physics), the work it can do in
virtue of its actual condition, without any supply of
energy from without.
Intrinsic equation of a curve (Geom.), the equation which
expresses the relation which the length of a curve,
measured from a given point of it, to a movable point, has
to the angle which the tangent to the curve at the movable
point makes with a fixed line.
Intrinsic value. See the Note under Value, n.
Syn: Inherent; innate; natural; real; genuine.
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