| slovo | definícia |
hyperbola
(encz) | hyperbola,hyperbola n: [mat.] |
hyperbola
(czen) | hyperbola,hyperbolan: [mat.] |
hyperbola
(czen) | hyperbola,hyperbole Zdeněk Brož |
Hyperbola
(gcide) | Hyperbola \Hy*per"bo*la\, n. [Gr. ?, prop., an overshooting,
excess, i. e., of the angle which the cutting plane makes
with the base. See Hyperbole.] (Geom.)
A curve formed by a section of a cone, when the cutting plane
makes a greater angle with the base than the side of the cone
makes. It is a plane curve such that the difference of the
distances from any point of it to two fixed points, called
foci, is equal to a given distance. See Focus. If the
cutting plane be produced so as to cut the opposite cone,
another curve will be formed, which is also an hyperbola.
Both curves are regarded as branches of the same hyperbola.
See Illust. of Conic section, and Focus.
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hyperbola
(wn) | hyperbola
n 1: an open curve formed by a plane that cuts the base of a
right circular cone |
| | podobné slovo | definícia |
hyperbola
(encz) | hyperbola,hyperbola n: [mat.] |
hyperbolae
(encz) | hyperbolae, |
hyperbola
(czen) | hyperbola,hyperbolan: [mat.] hyperbola,hyperbole Zdeněk Brož |
Conjugate axis of a hyperbola
(gcide) | Conjugate \Con"ju*gate\, a. [L. conjugatus, p. p. or conjugare
to unite; con- + jugare to join, yoke, marry, jugum yoke;
akin to jungere to join. See Join.]
1. United in pairs; yoked together; coupled.
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2. (Bot.) In single pairs; coupled.
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3. (Chem.) Containing two or more compounds or radicals
supposed to act the part of a single one. [R.]
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4. (Gram.) Agreeing in derivation and radical signification;
-- said of words.
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5. (Math.) Presenting themselves simultaneously and having
reciprocal properties; -- frequently used in pure and
applied mathematics with reference to two quantities,
points, lines, axes, curves, etc.
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Conjugate axis of a hyperbola (Math.), the line through the
center of the curve, perpendicular to the line through the
two foci.
Conjugate diameters (Conic Sections), two diameters of an
ellipse or hyperbola such that each bisects all chords
drawn parallel to the other.
Conjugate focus (Opt.) See under Focus.
Conjugate mirrors (Optics), two mirrors so placed that rays
from the focus of one are received at the focus of the
other, especially two concave mirrors so placed that rays
proceeding from the principal focus of one and reflected
in a parallel beam are received upon the other and brought
to the principal focus.
Conjugate point (Geom.), an acnode. See Acnode, and
Double point.
Self-conjugate triangle (Conic Sections), a triangle each
of whose vertices is the pole of the opposite side with
reference to a conic.
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Equilateral hyperbola
(gcide) | Equilateral \E`qui*lat"er*al\, a. [L. aequilateralis; aequus
equal + latus, lateris, side: cf. F. ['e]quilat['e]ral.]
Having all the sides equal; as, an equilateral triangle; an
equilateral polygon.
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Equilateral hyperbola (Geom.), one whose axes are equal.
Equilateral shell (Zo["o]l.), one in which a transverse
line drawn through the apex of the umbo bisects the valve,
or divides it into two equal and symmetrical parts.
Mutually equilateral, applied to two figures, when every
side of the one has its equal among the sides of the
other.
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Legs of an hyperbola
(gcide) | Leg \Leg\ (l[e^]g), n. [Icel. leggr; akin to Dan. l[ae]g calf of
the leg, Sw. l[aum]gg.]
1. A limb or member of an animal used for supporting the
body, and in running, climbing, and swimming; esp., that
part of the limb between the knee and foot.
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2. That which resembles a leg in form or use; especially, any
long and slender support on which any object rests; as,
the leg of a table; the leg of a pair of compasses or
dividers.
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3. The part of any article of clothing which covers the leg;
as, the leg of a stocking or of a pair of trousers.
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4. A bow, esp. in the phrase to make a leg; probably from
drawing the leg backward in bowing. [Obs.]
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He that will give a cap and make a leg in thanks for
a favor he never received. --Fuller.
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5. A disreputable sporting character; a blackleg. [Slang,
Eng.]
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6. (Naut.) The course and distance made by a vessel on one
tack or between tacks.
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7. (Steam Boiler) An extension of the boiler downward, in the
form of a narrow space between vertical plates, sometimes
nearly surrounding the furnace and ash pit, and serving to
support the boiler; -- called also water leg.
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8. (Grain Elevator) The case containing the lower part of the
belt which carries the buckets.
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9. (Cricket) A fielder whose position is on the outside, a
little in rear of the batter.
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10. (Math.) Either side of a triangle distinguished from the
base or, in a right triangle, from the hypotenuse; also,
an indefinitely extending branch of a curve, as of a
hyperbola.
[Webster 1913 Suppl.]
11. (Telephony) A branch or lateral circuit connecting an
instrument with the main line.
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12. (Elec.) A branch circuit; one phase of a polyphase
system.
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A good leg (Naut.), a course sailed on a tack which is near
the desired course.
Leg bail, escape from custody by flight. [Slang]
Legs of an hyperbola (or other curve) (Geom.), the branches
of the curve which extend outward indefinitely.
Legs of a triangle, the sides of a triangle; -- a name
seldom used unless one of the sides is first distinguished
by some appropriate term; as, the hypothenuse and two legs
of a right-angled triangle.
On one's legs, standing to speak.
On one's last legs. See under Last.
To have legs (Naut.), to have speed.
To stand on one's own legs, to support one's self; to be
independent.
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Nodated hyperbola
(gcide) | Nodated \No"da*ted\, a. [L. nodatus, p. p. of nodare to make
knotty, fr. nodus knot. See Node.]
Knotted.
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Nodated hyperbola (Geom.), a certain curve of the third
order having two branches which cross each other, forming
a node.
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hyperbola
(wn) | hyperbola
n 1: an open curve formed by a plane that cuts the base of a
right circular cone |
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