| slovo | definícia |
trigon
(encz) | trigon,trojúhelník n: Zdeněk Brož |
Trigon
(gcide) | Trigon \Tri"gon\, n. [L. trigonum, Gr. ?; ? (see Tri-) + ? a
corner, angle: cf. F. trigone.]
[1913 Webster]
1. A figure having three angles; a triangle.
[1913 Webster]
2. (Astrol.)
(a) A division consisting of three signs.
(b) Trine, an aspect of two planets distant 120 degrees
from each other. --Hutton.
[1913 Webster]
3. (Gr. & Rom. Antiq.)
(a) A kind of triangular lyre or harp.
(b) A kind of game at ball played by three persons
standing at the angular points of a triangle.
[1913 Webster]
4. (Zool.) The cutting region of the crown of an upper molar,
usually the anterior part. That of a lower molar is the |
trigon
(wn) | trigon
n 1: a three-sided polygon [syn: triangle, trigon,
trilateral]
2: (astrology) one of four groups of the zodiac where each group
consists of three signs separated from each other by 120
degrees [syn: triplicity, trigon]
3: a triangular lyre of ancient Greece and Rome |
| | podobné slovo | definícia |
spherical trigonometry
(encz) | spherical trigonometry, n: |
trigonal
(encz) | trigonal, adj: |
trigonometric
(encz) | trigonometric,trigonometrický adj: Zdeněk Brož |
trigonometric function
(encz) | trigonometric function, n: |
trigonometrical
(encz) | trigonometrical,trigonometrický adj: Zdeněk Brož |
trigonometrician
(encz) | trigonometrician, n: |
trigonometry
(encz) | trigonometry,trigonometrie n: Zdeněk Brož |
trigonum cerebrale
(encz) | trigonum cerebrale, n: |
trigonometrický
(czen) | trigonometrický,trigonometricadj: Zdeněk Brožtrigonometrický,trigonometricaladj: Zdeněk Brož |
trigonometrie
(czen) | trigonometrie,trigonometryn: Zdeněk Brož |
Analytical trigonometry
(gcide) | Trigonometry \Trig`o*nom"e*try\, n.; pl. -tries. [Gr. ? a
triangle + -metry: cf. F. trigonom['e]trie. See Trigon.]
1. That branch of mathematics which treats of the relations
of the sides and angles of triangles, which the methods of
deducing from certain given parts other required parts,
and also of the general relations which exist between the
trigonometrical functions of arcs or angles.
[1913 Webster]
2. A treatise in this science.
[1913 Webster]
Analytical trigonometry, that branch of trigonometry which
treats of the relations and properties of the
trigonometrical functions.
Plane trigonometry, and Spherical trigonometry, those
branches of trigonometry in which its principles are
applied to plane triangles and spherical triangles
respectively.
[1913 Webster] |
Inverse trigonometrical functions
(gcide) | Function \Func"tion\, n. [L. functio, fr. fungi to perform,
execute, akin to Skr. bhuj to enjoy, have the use of: cf. F.
fonction. Cf. Defunct.]
1. The act of executing or performing any duty, office, or
calling; performance. "In the function of his public
calling." --Swift.
[1913 Webster]
2. (Physiol.) The appropriate action of any special organ or
part of an animal or vegetable organism; as, the function
of the heart or the limbs; the function of leaves, sap,
roots, etc.; life is the sum of the functions of the
various organs and parts of the body.
[1913 Webster]
3. The natural or assigned action of any power or faculty, as
of the soul, or of the intellect; the exertion of an
energy of some determinate kind.
[1913 Webster]
As the mind opens, and its functions spread. --Pope.
[1913 Webster]
4. The course of action which peculiarly pertains to any
public officer in church or state; the activity
appropriate to any business or profession.
[1913 Webster]
Tradesmen . . . going about their functions. --Shak.
[1913 Webster]
The malady which made him incapable of performing
his
regal functions. --Macaulay.
[1913 Webster]
5. (Math.) A quantity so connected with another quantity,
that if any alteration be made in the latter there will be
a consequent alteration in the former. Each quantity is
said to be a function of the other. Thus, the
circumference of a circle is a function of the diameter.
If x be a symbol to which different numerical values can
be assigned, such expressions as x^2, 3^x, Log. x, and
Sin. x, are all functions of x.
[1913 Webster]
6. (Eccl.) A religious ceremony, esp. one particularly
impressive and elaborate.
Every solemn `function' performed with the
requirements of the liturgy. --Card.
Wiseman.
[Webster 1913 Suppl.]
7. A public or social ceremony or gathering; a festivity or
entertainment, esp. one somewhat formal.
This function, which is our chief social event. --W.
D. Howells.
[Webster 1913 Suppl.]
Algebraic function, a quantity whose connection with the
variable is expressed by an equation that involves only
the algebraic operations of addition, subtraction,
multiplication, division, raising to a given power, and
extracting a given root; -- opposed to transcendental
function.
Arbitrary function. See under Arbitrary.
Calculus of functions. See under Calculus.
Carnot's function (Thermo-dynamics), a relation between the
amount of heat given off by a source of heat, and the work
which can be done by it. It is approximately equal to the
mechanical equivalent of the thermal unit divided by the
number expressing the temperature in degrees of the air
thermometer, reckoned from its zero of expansion.
Circular functions. See Inverse trigonometrical functions
(below). -- Continuous function, a quantity that has no
interruption in the continuity of its real values, as the
variable changes between any specified limits.
Discontinuous function. See under Discontinuous.
Elliptic functions, a large and important class of
functions, so called because one of the forms expresses
the relation of the arc of an ellipse to the straight
lines connected therewith.
Explicit function, a quantity directly expressed in terms
of the independently varying quantity; thus, in the
equations y = 6x^2, y = 10 -x^3, the quantity y is an
explicit function of x.
Implicit function, a quantity whose relation to the
variable is expressed indirectly by an equation; thus, y
in the equation x^2 + y^2 = 100 is an implicit
function of x.
Inverse trigonometrical functions, or Circular functions,
the lengths of arcs relative to the sines, tangents, etc.
Thus, AB is the arc whose sine is BD, and (if the length
of BD is x) is written sin ^-1x, and so of the other
lines. See Trigonometrical function (below). Other
transcendental functions are the exponential functions,
the elliptic functions, the gamma functions, the theta
functions, etc.
One-valued function, a quantity that has one, and only one,
value for each value of the variable. -- {Transcendental
functions}, a quantity whose connection with the variable
cannot be expressed by algebraic operations; thus, y in
the equation y = 10^x is a transcendental function of x.
See Algebraic function (above). -- {Trigonometrical
function}, a quantity whose relation to the variable is the
same as that of a certain straight line drawn in a circle
whose radius is unity, to the length of a corresponding
are of the circle. Let AB be an arc in a circle, whose
radius OA is unity let AC be a quadrant, and let OC, DB,
and AF be drawnpependicular to OA, and EB and CG parallel
to OA, and let OB be produced to G and F. E Then BD is the
sine of the arc AB; OD or EB is the cosine, AF is the
tangent, CG is the cotangent, OF is the secant OG is the
cosecant, AD is the versed sine, and CE is the coversed
sine of the are AB. If the length of AB be represented by
x (OA being unity) then the lengths of Functions. these
lines (OA being unity) are the trigonometrical functions
of x, and are written sin x, cos x, tan x (or tang x), cot
x, sec x, cosec x, versin x, coversin x. These quantities
are also considered as functions of the angle BOA.
Function |
Plane trigonometry
(gcide) | Plane \Plane\, a. [L. planus: cf. F. plan. See Plan, a.]
Without elevations or depressions; even; level; flat; lying
in, or constituting, a plane; as, a plane surface.
[1913 Webster]
Note: In science, this word (instead of plain) is almost
exclusively used to designate a flat or level surface.
[1913 Webster]
Plane angle, the angle included between two straight lines
in a plane.
Plane chart, Plane curve. See under Chart and Curve.
Plane figure, a figure all points of which lie in the same
plane. If bounded by straight lines it is a rectilinear
plane figure, if by curved lines it is a curvilinear plane
figure.
Plane geometry, that part of geometry which treats of the
relations and properties of plane figures.
Plane problem, a problem which can be solved geometrically
by the aid of the right line and circle only.
Plane sailing (Naut.), the method of computing a ship's
place and course on the supposition that the earth's
surface is a plane.
Plane scale (Naut.), a scale for the use of navigators, on
which are graduated chords, sines, tangents, secants,
rhumbs, geographical miles, etc.
Plane surveying, surveying in which the curvature of the
earth is disregarded; ordinary field and topographical
surveying of tracts of moderate extent.
Plane table, an instrument used for plotting the lines of a
survey on paper in the field.
Plane trigonometry, the branch of trigonometry in which its
principles are applied to plane triangles.
[1913 Webster]Trigonometry \Trig`o*nom"e*try\, n.; pl. -tries. [Gr. ? a
triangle + -metry: cf. F. trigonom['e]trie. See Trigon.]
1. That branch of mathematics which treats of the relations
of the sides and angles of triangles, which the methods of
deducing from certain given parts other required parts,
and also of the general relations which exist between the
trigonometrical functions of arcs or angles.
[1913 Webster]
2. A treatise in this science.
[1913 Webster]
Analytical trigonometry, that branch of trigonometry which
treats of the relations and properties of the
trigonometrical functions.
Plane trigonometry, and Spherical trigonometry, those
branches of trigonometry in which its principles are
applied to plane triangles and spherical triangles
respectively.
[1913 Webster] |
Spherical trigonometry
(gcide) | Spherical \Spher"ic*al\, Spheric \Spher"ic\, a. [L. sphaericus,
Gr. ???: cf. F. sph['e]rique.]
1. Having the form of a sphere; like a sphere; globular;
orbicular; as, a spherical body.
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2. Of or pertaining to a sphere.
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3. Of or pertaining to the heavenly orbs, or to the sphere or
spheres in which, according to ancient astronomy and
astrology, they were set.
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Knaves, thieves, and treachers by spherical
predominance. --Shak.
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Though the stars were suns, and overburned
Their spheric limitations. --Mrs.
Browning.
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Spherical angle, Spherical coordinate, {Spherical
excess}, etc. See under Angle, Coordinate, etc.
Spherical geometry, that branch of geometry which treats of
spherical magnitudes; the doctrine of the sphere,
especially of the circles described on its surface.
Spherical harmonic analysis. See under Harmonic, a.
Spherical lune,portion of the surface of a sphere included
between two great semicircles having a common diameter.
Spherical opening, the magnitude of a solid angle. It is
measured by the portion within the solid angle of the
surface of any sphere whose center is the angular point.
Spherical polygon,portion of the surface of a sphere
bounded by the arcs of three or more great circles.
Spherical projection, the projection of the circles of the
sphere upon a plane. See Projection.
Spherical sector. See under Sector.
Spherical segment, the segment of a sphere. See under
Segment.
Spherical triangle,re on the surface of a sphere, bounded
by the arcs of three great circles which intersect each
other.
Spherical trigonometry. See Trigonometry.
[1913 Webster] -- Spher"ic*al*ly, adv. --
Spher"ic*al*ness, n.
[1913 Webster]Trigonometry \Trig`o*nom"e*try\, n.; pl. -tries. [Gr. ? a
triangle + -metry: cf. F. trigonom['e]trie. See Trigon.]
1. That branch of mathematics which treats of the relations
of the sides and angles of triangles, which the methods of
deducing from certain given parts other required parts,
and also of the general relations which exist between the
trigonometrical functions of arcs or angles.
[1913 Webster]
2. A treatise in this science.
[1913 Webster]
Analytical trigonometry, that branch of trigonometry which
treats of the relations and properties of the
trigonometrical functions.
Plane trigonometry, and Spherical trigonometry, those
branches of trigonometry in which its principles are
applied to plane triangles and spherical triangles
respectively.
[1913 Webster] |
Trigon
(gcide) | Trigon \Tri"gon\, n. [L. trigonum, Gr. ?; ? (see Tri-) + ? a
corner, angle: cf. F. trigone.]
[1913 Webster]
1. A figure having three angles; a triangle.
[1913 Webster]
2. (Astrol.)
(a) A division consisting of three signs.
(b) Trine, an aspect of two planets distant 120 degrees
from each other. --Hutton.
[1913 Webster]
3. (Gr. & Rom. Antiq.)
(a) A kind of triangular lyre or harp.
(b) A kind of game at ball played by three persons
standing at the angular points of a triangle.
[1913 Webster]
4. (Zool.) The cutting region of the crown of an upper molar,
usually the anterior part. That of a lower molar is the |
Trigonal
(gcide) | Trigonid \Tri"go*nid\
[Webster 1913 Suppl.] Trigonal \Trig"o*nal\, a.
Having three angles, or corners; triangular; as, a trigonal
stem, one having tree prominent longitudinal angles.
[1913 Webster]
[1913 Webster] |
Trigonal trisoctahedron
(gcide) | Trisoctahedron \Tris*oc`ta*he"dron\, n. [Gr. ? thrice + FE.
octahedron.] (Crystallog.)
A solid of the isometric system bounded by twenty-four equal
faces, three corresponding to each face of an octahedron.
[1913 Webster]
Tetragonal trisoctahedron, a trisoctahedron each face of
which is a quadrilateral; called also trapezohedron and
icositetrahedron.
Trigonal trisoctahedron, a trisoctahedron each face of
which is an isosceles triangle.
[1913 Webster] Trispast |
Trigone
(gcide) | Trigone \Tri`gone"\, n. [F., literally, a trigon.] (Anat.)
A smooth triangular area on the inner surface of the bladder,
limited by the apertures of the ureters and urethra.
[1913 Webster] |
trigonella Foenum Graecum
(gcide) | Fenugreek \Fen"u*greek\ (? or ?), n. [L. faenum Graecum, lit.,
Greek hay: cf. F. fenugrec. Cf. Fennel.] (Bot.)
A plant (trigonella F[oe]num Gr[ae]cum) cultivated for its
strong-smelling seeds, which are "now only used for giving
false importance to horse medicine and damaged hay." --J.
Smith (Pop. Names of Plants, 1881).
[1913 Webster] |
Trigonella ornithopodioides
(gcide) | Bird's-foot \Bird's"-foot`\, n. (Bot.)
A papilionaceous plant, the Ornithopus, having a curved,
cylindrical pod tipped with a short, clawlike point.
[1913 Webster]
Bird's-foot trefoil. (Bot.)
(a) A genus of plants (Lotus) with clawlike pods. {Lotus
corniculatas}, with yellow flowers, is very common in
Great Britain.
(b) the related plant, Trigonella ornithopodioides, is also
European.
[1913 Webster] |
Trigonia
(gcide) | Trigonia \Tri*go"ni*a\, n. [NL. See Trigon. So called in
allusion to the triangular shape of some species.] (Zool.)
A genus of pearly bivalve shells, numerous extinct species of
which are characteristic of the Mesozoic rocks. A few living
species exist on the coast of Australia.
[1913 Webster] |
Trigonid
(gcide) | Trigonid \Tri"go*nid\
[Webster 1913 Suppl.] Trigonal \Trig"o*nal\, a.
Having three angles, or corners; triangular; as, a trigonal
stem, one having tree prominent longitudinal angles.
[1913 Webster]
[1913 Webster] |
Trigonocephalus lanceolatus
(gcide) | Fer-de-lance \Fer`-de-lance"\, n. [F., the iron of a lance,
lance head.] (Zool.)
A large, venomous serpent (Trigonocephalus lanceolatus) of
Brazil and the West Indies. It is allied to the rattlesnake,
but has no rattle.
[1913 Webster] |
Trigonocerous
(gcide) | Trigonocerous \Trig`o*noc"er*ous\, a. [Gr. ? triangle + ? horn.]
(Zool.)
Having horns with three angles, like those of some species of
goats.
[1913 Webster] |
Trigonodont
(gcide) | Trigonodont \Trig"o*no*dont`\, a. [See Trigon; Odonto.]
See Trituberculy.
[Webster 1913 Suppl.] Trigonometric |
Trigonometric
(gcide) | Trigonometric \Trig`o*no*met"ric\, Trigonometrical
\Trig`o*no*met"ric*al\, [Cf. F. trigonom['e]trique.]
Of or pertaining to trigonometry; performed by the rules of
trigonometry.
[1913 Webster] --Trig`o*no*met"ric*al*ly, adv.
[1913 Webster]
Trigonometrical curve, a curve one of whose coordinates is
a trigonometric function of the other.
Trigonometrical function. See under Function.
Trigonometrical lines, lines which are employed in solving
the different cases of plane and spherical trigonometry,
as sines, tangents, secants, and the like. These lines, or
the lengths of them, are trigonometrical functions of the
arcs and angles to which they belong.
Trigonometrical survey. See under Survey.
[1913 Webster] |
Trigonometrical
(gcide) | Trigonometric \Trig`o*no*met"ric\, Trigonometrical
\Trig`o*no*met"ric*al\, [Cf. F. trigonom['e]trique.]
Of or pertaining to trigonometry; performed by the rules of
trigonometry.
[1913 Webster] --Trig`o*no*met"ric*al*ly, adv.
[1913 Webster]
Trigonometrical curve, a curve one of whose coordinates is
a trigonometric function of the other.
Trigonometrical function. See under Function.
Trigonometrical lines, lines which are employed in solving
the different cases of plane and spherical trigonometry,
as sines, tangents, secants, and the like. These lines, or
the lengths of them, are trigonometrical functions of the
arcs and angles to which they belong.
Trigonometrical survey. See under Survey.
[1913 Webster] |
Trigonometrical coordinates
(gcide) | Coordinate \Co*["o]r"di*nate\, n.
1. A thing of the same rank with another thing; one two or
more persons or things of equal rank, authority, or
importance.
[1913 Webster]
It has neither coordinate nor analogon; it is
absolutely one. --Coleridge.
[1913 Webster]
2. pl. (Math.) Lines, or other elements of reference, by
means of which the position of any point, as of a curve,
is defined with respect to certain fixed lines, or planes,
called coordinate axes and coordinate planes. See
Abscissa.
Note: Coordinates 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
coordinate 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 coordinate axes, AX, AY, AZ, and measured from
the corresponding coordinate 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.
[1913 Webster]
Cartesian coordinates. See under Cartesian.
Geographical coordinates, 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 coordinate.
Polar coordinates, coordinates 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 coordinates, coordinates the axes of which
intersect at right angles.
Rectilinear coordinates, coordinates made up of right
lines. Those defined in
(a) and
(c) above are called also Cartesian coordinates.
Trigonometrical coordinates or Spherical coordinates,
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 coordinates, coordinates 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.
[1913 Webster] |
Trigonometrical curve
(gcide) | Trigonometric \Trig`o*no*met"ric\, Trigonometrical
\Trig`o*no*met"ric*al\, [Cf. F. trigonom['e]trique.]
Of or pertaining to trigonometry; performed by the rules of
trigonometry.
[1913 Webster] --Trig`o*no*met"ric*al*ly, adv.
[1913 Webster]
Trigonometrical curve, a curve one of whose coordinates is
a trigonometric function of the other.
Trigonometrical function. See under Function.
Trigonometrical lines, lines which are employed in solving
the different cases of plane and spherical trigonometry,
as sines, tangents, secants, and the like. These lines, or
the lengths of them, are trigonometrical functions of the
arcs and angles to which they belong.
Trigonometrical survey. See under Survey.
[1913 Webster] |
Trigonometrical function
(gcide) | Function \Func"tion\, n. [L. functio, fr. fungi to perform,
execute, akin to Skr. bhuj to enjoy, have the use of: cf. F.
fonction. Cf. Defunct.]
1. The act of executing or performing any duty, office, or
calling; performance. "In the function of his public
calling." --Swift.
[1913 Webster]
2. (Physiol.) The appropriate action of any special organ or
part of an animal or vegetable organism; as, the function
of the heart or the limbs; the function of leaves, sap,
roots, etc.; life is the sum of the functions of the
various organs and parts of the body.
[1913 Webster]
3. The natural or assigned action of any power or faculty, as
of the soul, or of the intellect; the exertion of an
energy of some determinate kind.
[1913 Webster]
As the mind opens, and its functions spread. --Pope.
[1913 Webster]
4. The course of action which peculiarly pertains to any
public officer in church or state; the activity
appropriate to any business or profession.
[1913 Webster]
Tradesmen . . . going about their functions. --Shak.
[1913 Webster]
The malady which made him incapable of performing
his
regal functions. --Macaulay.
[1913 Webster]
5. (Math.) A quantity so connected with another quantity,
that if any alteration be made in the latter there will be
a consequent alteration in the former. Each quantity is
said to be a function of the other. Thus, the
circumference of a circle is a function of the diameter.
If x be a symbol to which different numerical values can
be assigned, such expressions as x^2, 3^x, Log. x, and
Sin. x, are all functions of x.
[1913 Webster]
6. (Eccl.) A religious ceremony, esp. one particularly
impressive and elaborate.
Every solemn `function' performed with the
requirements of the liturgy. --Card.
Wiseman.
[Webster 1913 Suppl.]
7. A public or social ceremony or gathering; a festivity or
entertainment, esp. one somewhat formal.
This function, which is our chief social event. --W.
D. Howells.
[Webster 1913 Suppl.]
Algebraic function, a quantity whose connection with the
variable is expressed by an equation that involves only
the algebraic operations of addition, subtraction,
multiplication, division, raising to a given power, and
extracting a given root; -- opposed to transcendental
function.
Arbitrary function. See under Arbitrary.
Calculus of functions. See under Calculus.
Carnot's function (Thermo-dynamics), a relation between the
amount of heat given off by a source of heat, and the work
which can be done by it. It is approximately equal to the
mechanical equivalent of the thermal unit divided by the
number expressing the temperature in degrees of the air
thermometer, reckoned from its zero of expansion.
Circular functions. See Inverse trigonometrical functions
(below). -- Continuous function, a quantity that has no
interruption in the continuity of its real values, as the
variable changes between any specified limits.
Discontinuous function. See under Discontinuous.
Elliptic functions, a large and important class of
functions, so called because one of the forms expresses
the relation of the arc of an ellipse to the straight
lines connected therewith.
Explicit function, a quantity directly expressed in terms
of the independently varying quantity; thus, in the
equations y = 6x^2, y = 10 -x^3, the quantity y is an
explicit function of x.
Implicit function, a quantity whose relation to the
variable is expressed indirectly by an equation; thus, y
in the equation x^2 + y^2 = 100 is an implicit
function of x.
Inverse trigonometrical functions, or Circular functions,
the lengths of arcs relative to the sines, tangents, etc.
Thus, AB is the arc whose sine is BD, and (if the length
of BD is x) is written sin ^-1x, and so of the other
lines. See Trigonometrical function (below). Other
transcendental functions are the exponential functions,
the elliptic functions, the gamma functions, the theta
functions, etc.
One-valued function, a quantity that has one, and only one,
value for each value of the variable. -- {Transcendental
functions}, a quantity whose connection with the variable
cannot be expressed by algebraic operations; thus, y in
the equation y = 10^x is a transcendental function of x.
See Algebraic function (above). -- {Trigonometrical
function}, a quantity whose relation to the variable is the
same as that of a certain straight line drawn in a circle
whose radius is unity, to the length of a corresponding
are of the circle. Let AB be an arc in a circle, whose
radius OA is unity let AC be a quadrant, and let OC, DB,
and AF be drawnpependicular to OA, and EB and CG parallel
to OA, and let OB be produced to G and F. E Then BD is the
sine of the arc AB; OD or EB is the cosine, AF is the
tangent, CG is the cotangent, OF is the secant OG is the
cosecant, AD is the versed sine, and CE is the coversed
sine of the are AB. If the length of AB be represented by
x (OA being unity) then the lengths of Functions. these
lines (OA being unity) are the trigonometrical functions
of x, and are written sin x, cos x, tan x (or tang x), cot
x, sec x, cosec x, versin x, coversin x. These quantities
are also considered as functions of the angle BOA.
FunctionTrigonometric \Trig`o*no*met"ric\, Trigonometrical
\Trig`o*no*met"ric*al\, [Cf. F. trigonom['e]trique.]
Of or pertaining to trigonometry; performed by the rules of
trigonometry.
[1913 Webster] --Trig`o*no*met"ric*al*ly, adv.
[1913 Webster]
Trigonometrical curve, a curve one of whose coordinates is
a trigonometric function of the other.
Trigonometrical function. See under Function.
Trigonometrical lines, lines which are employed in solving
the different cases of plane and spherical trigonometry,
as sines, tangents, secants, and the like. These lines, or
the lengths of them, are trigonometrical functions of the
arcs and angles to which they belong.
Trigonometrical survey. See under Survey.
[1913 Webster] |
Trigonometrical lines
(gcide) | Trigonometric \Trig`o*no*met"ric\, Trigonometrical
\Trig`o*no*met"ric*al\, [Cf. F. trigonom['e]trique.]
Of or pertaining to trigonometry; performed by the rules of
trigonometry.
[1913 Webster] --Trig`o*no*met"ric*al*ly, adv.
[1913 Webster]
Trigonometrical curve, a curve one of whose coordinates is
a trigonometric function of the other.
Trigonometrical function. See under Function.
Trigonometrical lines, lines which are employed in solving
the different cases of plane and spherical trigonometry,
as sines, tangents, secants, and the like. These lines, or
the lengths of them, are trigonometrical functions of the
arcs and angles to which they belong.
Trigonometrical survey. See under Survey.
[1913 Webster] |
Trigonometrical survey
(gcide) | Survey \Sur"vey\, n. [Formerly accentuated universally on the
last syllable, and still so accented by many speakers.]
1. The act of surveying; a general view, as from above.
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Under his proud survey the city lies. --Sir J.
Denham.
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2. A particular view; an examination, especially an official
examination, of all the parts or particulars of a thing,
with a design to ascertain the condition, quantity, or
quality; as, a survey of the stores of a ship; a survey of
roads and bridges; a survey of buildings.
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3. The operation of finding the contour, dimensions,
position, or other particulars of, as any part of the
earth's surface, whether land or water; also, a measured
plan and description of any portion of country, or of a
road or line through it.
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Survey of dogs. See Court of regard, under Regard.
Trigonometrical survey, a survey of a portion of country by
measuring a single base, and connecting it with various
points in the tract surveyed by a series of triangles, the
angles of which are carefully measured, the relative
positions and distances of all parts being computed from
these data.
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Syn: Review; retrospect; examination; prospect.
[1913 Webster]Trigonometric \Trig`o*no*met"ric\, Trigonometrical
\Trig`o*no*met"ric*al\, [Cf. F. trigonom['e]trique.]
Of or pertaining to trigonometry; performed by the rules of
trigonometry.
[1913 Webster] --Trig`o*no*met"ric*al*ly, adv.
[1913 Webster]
Trigonometrical curve, a curve one of whose coordinates is
a trigonometric function of the other.
Trigonometrical function. See under Function.
Trigonometrical lines, lines which are employed in solving
the different cases of plane and spherical trigonometry,
as sines, tangents, secants, and the like. These lines, or
the lengths of them, are trigonometrical functions of the
arcs and angles to which they belong.
Trigonometrical survey. See under Survey.
[1913 Webster] |
Trigonometrically
(gcide) | Trigonometric \Trig`o*no*met"ric\, Trigonometrical
\Trig`o*no*met"ric*al\, [Cf. F. trigonom['e]trique.]
Of or pertaining to trigonometry; performed by the rules of
trigonometry.
[1913 Webster] --Trig`o*no*met"ric*al*ly, adv.
[1913 Webster]
Trigonometrical curve, a curve one of whose coordinates is
a trigonometric function of the other.
Trigonometrical function. See under Function.
Trigonometrical lines, lines which are employed in solving
the different cases of plane and spherical trigonometry,
as sines, tangents, secants, and the like. These lines, or
the lengths of them, are trigonometrical functions of the
arcs and angles to which they belong.
Trigonometrical survey. See under Survey.
[1913 Webster] |
Trigonometry
(gcide) | Mathematics \Math`e*mat"ics\, n. [F. math['e]matiques, pl., L.
mathematica, sing., Gr. ? (sc. ?) science. See Mathematic,
and -ics.]
That science, or class of sciences, which treats of the exact
relations existing between quantities or magnitudes, and of
the methods by which, in accordance with these relations,
quantities sought are deducible from other quantities known
or supposed; the science of spatial and quantitative
relations.
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Note: Mathematics embraces three departments, namely: 1.
Arithmetic. 2. Geometry, including Trigonometry
and Conic Sections. 3. Analysis, in which letters
are used, including Algebra, Analytical Geometry,
and Calculus. Each of these divisions is divided into
pure or abstract, which considers magnitude or quantity
abstractly, without relation to matter; and mixed or
applied, which treats of magnitude as subsisting in
material bodies, and is consequently interwoven with
physical considerations.
[1913 Webster]Trigonometry \Trig`o*nom"e*try\, n.; pl. -tries. [Gr. ? a
triangle + -metry: cf. F. trigonom['e]trie. See Trigon.]
1. That branch of mathematics which treats of the relations
of the sides and angles of triangles, which the methods of
deducing from certain given parts other required parts,
and also of the general relations which exist between the
trigonometrical functions of arcs or angles.
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2. A treatise in this science.
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Analytical trigonometry, that branch of trigonometry which
treats of the relations and properties of the
trigonometrical functions.
Plane trigonometry, and Spherical trigonometry, those
branches of trigonometry in which its principles are
applied to plane triangles and spherical triangles
respectively.
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Trigonous
(gcide) | Trigonous \Trig"o*nous\, a. [L. trigonus, Gr. ?. See Trigon.]
Same as Trigonal.
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genus trigonella
(wn) | genus Trigonella
n 1: Old World genus of frequently aromatic herbs [syn:
Trigonella, genus Trigonella] |
spherical trigonometry
(wn) | spherical trigonometry
n 1: (mathematics) the trigonometry of spherical triangles |
trigonal
(wn) | trigonal
adj 1: having threefold symmetry [syn: rhombohedral,
trigonal] |
trigonella
(wn) | Trigonella
n 1: Old World genus of frequently aromatic herbs [syn:
Trigonella, genus Trigonella] |
trigonella foenumgraecum
(wn) | Trigonella foenumgraecum
n 1: annual herb or southern Europe and eastern Asia having off-
white flowers and aromatic seeds used medicinally and in
curry [syn: fenugreek, Greek clover, {Trigonella
foenumgraecum}] |
trigonella ornithopodioides
(wn) | Trigonella ornithopodioides
n 1: Old World herb related to fenugreek [syn: {bird's foot
trefoil}, Trigonella ornithopodioides] |
trigonometric
(wn) | trigonometric
adj 1: of or relating to or according to the principles of
trigonometry; "trigonometric function" |
trigonometric function
(wn) | trigonometric function
n 1: function of an angle expressed as a ratio of the length of
the sides of right-angled triangle containing the angle
[syn: trigonometric function, circular function] |
trigonometrician
(wn) | trigonometrician
n 1: a mathematician specializing in trigonometry |
trigonometry
(wn) | trigonometry
n 1: the mathematics of triangles and trigonometric functions
[syn: trigonometry, trig] |
trigonum cerebrale
(wn) | trigonum cerebrale
n 1: an arched bundle of white fibers at the base of the brain
by which the hippocampus of each hemisphere projects to the
contralateral hippocampus and to the thalamus and mamillary
bodies [syn: fornix, trigonum cerebrale] |
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