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Bilinear
Bilinear Bi*lin"e*ar, a. (Math.)
Of, pertaining to, or included by, two lines; as, bilinear
co["o]rdinates.
Curvilinear
Curvilineal Cur`vi*lin"e*al (-al), Curvilinear
Cur`vi*lin"e*ar (-?r), a. [L. curvus bent + E. lineal,
linear.]
Consisting of, or bounded by, curved lines; as, a curvilinear
figure.
Curvilinearity
Curvilinearity Cur`vi*lin`e*ar"i*ty (-?r"?-t?), n.
The state of being curvilinear or of being bounded by curved
lines.
Curvilinearly
Curvilinearly Cur`vi*lin"e*ar*ly (-?r-l?), adv.
In a curvilinear manner.
Inearth
Inearth In*earth", v. t.
To inter. [R.] --Southey.
Interlineary
Interlineary In`ter*lin"e*a*ry, a.
Interlinear. -- n. A book containing interlineations. [R.]
LinearMicrometer Mi*crom"e*ter, n. [Micro- + -meter: cf. F.
microm[`e]tre.]
An instrument, used with a telescope or microscope, for
measuring minute distances, or the apparent diameters of
objects which subtend minute angles. The measurement given
directly is that of the image of the object formed at the
focus of the object glass.
Circular, or Ring, micrometer, a metallic ring fixed in
the focus of the object glass of a telescope, and used to
determine differences of right ascension and declination
between stars by observations of the times at which the
stars cross the inner or outer periphery of the ring.
Double image micrometer, a micrometer in which two images
of an object are formed in the field, usually by the two
halves of a bisected lens which are movable along their
line of section by a screw, and distances are determined
by the number of screw revolutions necessary to bring the
points to be measured into optical coincidence. When the
two images are formed by a bisected object glass, it is
called a divided-object-glass micrometer, and when the
instrument is large and equatorially mounted, it is known
as a heliometer.
Double refraction micrometer, a species of double image
micrometer, in which the two images are formed by the
double refraction of rock crystal.
Filar, or Bifilar, micrometer. See under Bifilar.
Micrometer caliper or gauge (Mech.), a caliper or gauge
with a micrometer screw, for measuring dimensions with
great accuracy.
Micrometer head, the head of a micrometer screw.
Micrometer microscope, a compound microscope combined with
a filar micrometer, used chiefly for reading and
subdividing the divisions of large astronomical and
geodetical instruments.
Micrometer screw, a screw with a graduated head used in
some forms of micrometers.
Position micrometer. See under Position.
Scale, or Linear, micrometer, a minute and very
delicately graduated scale of equal parts used in the
field of a telescope or microscope, for measuring
distances by direct comparison. Linear measure Linear measure, the measurement of length.
Linear numbers (Math.), such numbers as have relation to
length only: such is a number which represents one side of
a plane figure. If the plane figure is a square, the
linear figure is called a root.
Linear problem (Geom.), a problem which may be solved
geometrically by the use of right lines alone.
Linear transformation (Alg.), a change of variables where
each variable is replaced by a function of the first
degree in the new variable. Linear numbers Linear measure, the measurement of length.
Linear numbers (Math.), such numbers as have relation to
length only: such is a number which represents one side of
a plane figure. If the plane figure is a square, the
linear figure is called a root.
Linear problem (Geom.), a problem which may be solved
geometrically by the use of right lines alone.
Linear transformation (Alg.), a change of variables where
each variable is replaced by a function of the first
degree in the new variable. linear perspectivePerspective Per*spec"tive, n. [F. perspective, fr. perspectif:
cf. It. perspettiva. See Perspective, a.]
1. A glass through which objects are viewed. [Obs.] ``Not a
perspective, but a mirror.' --Sir T. Browne.
2. That which is seen through an opening; a view; a vista.
``The perspective of life.' --Goldsmith.
3. The effect of distance upon the appearance of objects, by
means of which the eye recognized them as being at a more
or less measurable distance. Hence, a["e]rial perspective,
the assumed greater vagueness or uncertainty of outline in
distant objects.
A["e]rial perspective is the expression of space by
any means whatsoever, sharpness of edge, vividness
of color, etc. --Ruskin.
4. The art and the science of so delineating objects that
they shall seem to grow smaller as they recede from the
eye; -- called also linear perspective.
5. A drawing in linear perspective.
Isometrical perspective, an inaccurate term for a
mechanical way of representing objects in the direction of
the diagonal of a cube.
Perspective glass, a telescope which shows objects in the
right position. Linear problem Linear measure, the measurement of length.
Linear numbers (Math.), such numbers as have relation to
length only: such is a number which represents one side of
a plane figure. If the plane figure is a square, the
linear figure is called a root.
Linear problem (Geom.), a problem which may be solved
geometrically by the use of right lines alone.
Linear transformation (Alg.), a change of variables where
each variable is replaced by a function of the first
degree in the new variable. Linear transformation Linear measure, the measurement of length.
Linear numbers (Math.), such numbers as have relation to
length only: such is a number which represents one side of
a plane figure. If the plane figure is a square, the
linear figure is called a root.
Linear problem (Geom.), a problem which may be solved
geometrically by the use of right lines alone.
Linear transformation (Alg.), a change of variables where
each variable is replaced by a function of the first
degree in the new variable. Linearensate
Linearensate Lin`e*ar*en"sate (-[e^]n"s[asl]t), a. (Bot.)
Having the form of a sword, but very long and narrow.
Linearly
Linearly Lin"e*ar*ly, adv.
In a linear manner; with lines.
Linear-shaped
Linear-shaped Lin"e*ar-shaped` (-sh[=a]pt`), a.
Of a linear shape.
Lineary
Lineary Lin"e*a*ry (-[asl]*r[y^]), a.
Linear. -- Holland.
M bilinearisHake Hake, n. [Also haak.] [Akin to Norweg. hakefisk, lit.,
hook fish, Prov. E. hake hook, G. hecht pike. See Hook.]
(Zo["o]l.)
One of several species of marine gadoid fishes, of the genera
Phycis, Merlucius, and allies. The common European hake
is M. vulgaris; the American silver hake or whiting is M.
bilinearis. Two American species (Phycis chuss and P.
tenius) are important food fishes, and are also valued for
their oil and sounds. Called also squirrel hake, and
codling. Mixtilinear
Mixtilineal Mix`ti*lin"e*al, Mixtilinear Mix`ti*lin"e*ar, a.
[L. mixtus mixed (p. p. of miscere to mix) + E. lineal,
linear.]
Containing, or consisting of, lines of different kinds, as
straight, curved, and the like; as, a mixtilinear angle, that
is, an angle contained by a straight line and a curve. [R.]
Outlinear
Outlinear Out*lin"e*ar, a.
Of or pertaining to an outline; being in, or forming, an
outline. --Trench.
RectilinearRectilineal Rec`ti*lin"e*al (-l?n"?*al), Rectilinear
Rec`ti*lin"e*ar (-l?n"?*?r), a. [Recti- + lineal, linear.]
Straight; consisting of a straight line or lines; bounded by
straight lines; as, a rectineal angle; a rectilinear figure
or course. -- Rec`ti*lin"e*al*ly, adv. --
Rec`ti*lin"e*ar*ly, adv. Rectilinear coordinates Note: Co["o]rdinates are of several kinds, consisting in some
of the different cases, of the following elements,
namely:
(a) (Geom. of Two Dimensions) The abscissa and ordinate of
any point, taken together; as the abscissa PY and
ordinate PX of the point P (Fig. 2, referred to the
co["o]rdinate axes AY and AX.
(b) Any radius vector PA (Fig. 1), together with its angle
of inclination to a fixed line, APX, by which any
point A in the same plane is referred to that fixed
line, and a fixed point in it, called the pole, P.
(c) (Geom. of Three Dimensions) Any three lines, or
distances, PB, PC, PD (Fig. 3), taken parallel to
three co["o]rdinate axes, AX, AY, AZ, and measured
from the corresponding co["o]rdinate fixed planes,
YAZ, XAZ, XAY, to any point in space, P, whose
position is thereby determined with respect to these
planes and axes.
(d) A radius vector, the angle which it makes with a fixed
plane, and the angle which its projection on the plane
makes with a fixed line line in the plane, by which
means any point in space at the free extremity of the
radius vector is referred to that fixed plane and
fixed line, and a fixed point in that line, the pole
of the radius vector.
Cartesian co["o]rdinates. See under Cartesian.
Geographical co["o]rdinates, the latitude and longitude of
a place, by which its relative situation on the globe is
known. The height of the above the sea level constitutes a
third co["o]rdinate.
Polar co["o]rdinates, co["o]rdinates made up of a radius
vector and its angle of inclination to another line, or a
line and plane; as those defined in
(b) and
(d) above.
Rectangular co["o]rdinates, co["o]rdinates the axes of
which intersect at right angles.
Rectilinear co["o]rdinates, co["o]rdinates made up of right
lines. Those defined in
(a) and
(c) above are called also Cartesian co["o]rdinates.
Trigonometrical or Spherical co["o]rdinates, elements of
reference, by means of which the position of a point on
the surface of a sphere may be determined with respect to
two great circles of the sphere.
Trilinear co["o]rdinates, co["o]rdinates of a point in a
plane, consisting of the three ratios which the three
distances of the point from three fixed lines have one to
another. Rectilinearity
Rectilinearity Rec`ti*lin`e*ar"i*ty (-?r"?*t?), n.
The quality or state of being rectilinear. --Coleridge.
RectilinearlyRectilineal Rec`ti*lin"e*al (-l?n"?*al), Rectilinear
Rec`ti*lin"e*ar (-l?n"?*?r), a. [Recti- + lineal, linear.]
Straight; consisting of a straight line or lines; bounded by
straight lines; as, a rectineal angle; a rectilinear figure
or course. -- Rec`ti*lin"e*al*ly, adv. --
Rec`ti*lin"e*ar*ly, adv. Trilinear
Trilinear Tri*lin"e*ar, a. (Math.)
Of, pertaining to, or included by, three lines; as, trilinear
co["o]rdinates.
Trilinear coordinates Note: Co["o]rdinates are of several kinds, consisting in some
of the different cases, of the following elements,
namely:
(a) (Geom. of Two Dimensions) The abscissa and ordinate of
any point, taken together; as the abscissa PY and
ordinate PX of the point P (Fig. 2, referred to the
co["o]rdinate axes AY and AX.
(b) Any radius vector PA (Fig. 1), together with its angle
of inclination to a fixed line, APX, by which any
point A in the same plane is referred to that fixed
line, and a fixed point in it, called the pole, P.
(c) (Geom. of Three Dimensions) Any three lines, or
distances, PB, PC, PD (Fig. 3), taken parallel to
three co["o]rdinate axes, AX, AY, AZ, and measured
from the corresponding co["o]rdinate fixed planes,
YAZ, XAZ, XAY, to any point in space, P, whose
position is thereby determined with respect to these
planes and axes.
(d) A radius vector, the angle which it makes with a fixed
plane, and the angle which its projection on the plane
makes with a fixed line line in the plane, by which
means any point in space at the free extremity of the
radius vector is referred to that fixed plane and
fixed line, and a fixed point in that line, the pole
of the radius vector.
Cartesian co["o]rdinates. See under Cartesian.
Geographical co["o]rdinates, the latitude and longitude of
a place, by which its relative situation on the globe is
known. The height of the above the sea level constitutes a
third co["o]rdinate.
Polar co["o]rdinates, co["o]rdinates made up of a radius
vector and its angle of inclination to another line, or a
line and plane; as those defined in
(b) and
(d) above.
Rectangular co["o]rdinates, co["o]rdinates the axes of
which intersect at right angles.
Rectilinear co["o]rdinates, co["o]rdinates made up of right
lines. Those defined in
(a) and
(c) above are called also Cartesian co["o]rdinates.
Trigonometrical or Spherical co["o]rdinates, elements of
reference, by means of which the position of a point on
the surface of a sphere may be determined with respect to
two great circles of the sphere.
Trilinear co["o]rdinates, co["o]rdinates of a point in a
plane, consisting of the three ratios which the three
distances of the point from three fixed lines have one to
another. Vertilinear
Vertilinear Ver`ti*lin"e*ar, a. [Vertical + linear.]
Straight; rectilinear. [R.]
Meaning of Inear from wikipedia