Synonyms for Hyperbola:

n.
• curve Curvation ,
 Ellipses ,
 Helices ,
 Helixes ,
 Menisci ,
 Meniscuses ,
 Ogee ,
 Parabolas ,
 Rondure ,
 Sinuosities ,
 ambit ,
 bight ,
 camber ,
 cambers ,
 catenaries ,
 chord ,
 chords ,
 circuit ,
 circumference ,
 compass ,
 concavity ,
 contour ,
 curlicue ,
 curlicues ,
 flexure ,
 flexures ,
 hairpin ,
 halfmoons ,
 halfmoon ,
 horseshoes ,
 hyperbolas ,
 incurvation ,
 incurvature ,
 meniscus ,
 ogees ,
 quirk ,
 round ,
 sinuosity ,
 sweep ,
 swerve ,
 trajectory ,
 turn ,
 whorl .
Other relevant words:
 Catacaustic ,
 Conchoid ,
 Diacaustic ,
 Lituus ,
 arc ,
 arcade ,
 arch ,
 arched roof ,
 bay window ,
 bend ,
 bender ,
 bow ,
 bow window ,
 cardioid ,
 carousal ,
 carouse ,
 carve ,
 catenary ,
 caustic ,
 circle ,
 conic ,
 conic section ,
 crescent ,
 crook ,
 curl ,
 curvature ,
 curve ,
 dish ,
 ellipse ,
 festoon ,
 halfmoon ,
 helix ,
 hook ,
 horseshoe ,
 hyperbole ,
 kink ,
 loop ,
 lunule ,
 parable ,
 parabola ,
 plane curve ,
 sinus ,
 spiral ,
 tracery ,
 twist ,
 vault .
What are the hypernyms for Hyperbola?
Other hypernyms:
conic, conic section, conoid, curve, conical surface.
What are the hyponyms for Hyperbola?
hyponyms for hyperbola (as nouns)

shape
conic section, conic.

shape
What are the opposite words for hyperbola?
Hyperbola is a mathematical term used to describe a type of curve. But what if you wanted to describe a curve that was the opposite of a hyperbola? In other words, what are some antonyms for the word hyperbola? One possible antonym for hyperbola is "ellipse," which is another type of curve that is symmetrical and closed. Another antonym might be "parabola," which is a curve that is typically shaped like a U and is often used in physics and engineering to describe motion and trajectories. Other possible antonyms for hyperbola might include "straight line," "circle," or "spiral," depending on the context and the specific properties of the curve being described.
What are the antonyms for Hyperbola?

n.
• curve line .
Usage examples for Hyperbola
Famous quotes with Hyperbola

I could give here several other ways of tracing and conceiving a series of curved lines, each curve more complex than any preceding one, but I think the best way to group together all such curves and them classify them in order, is by recognizing the fact that all points of those curves which we may call "geometric," that is, those which admit of precise and exact measurement, must bear a definite relation to all points of a straight line, and that this relation must be expressed by a single equation. If this equation contains no term of higher degree than the rectangle of two unknown quantities, or the square of one, the curve belongs to the first and simplest class, which contains only the circle, the parabola, the hyperbola, and the ellipse; but when the equation contains one or more terms of the third or fourth degree in one or both of the two unknown quantities (for it requires two unknown quantities to express the relation between two points) the curve belongs to the second class; and if the equation contains a term of the fifth or sixth degree in either or both of the unknown quantities the curve belongs to the third class, and so on indefinitely.

The discovery of Hippocrates amounted to the discovery of the fact that from the relation (1)it follows thatand if , [then , and]The equations (1) are equivalent [by reducing to common denominators or cross multiplication] to the three equations (2)[or equivalently...and the solutions of Menaechmus described by Eutocius amount to the determination of a point as the intersection of the curves represented in a rectangular system of Cartesian coordinates by any two of the equations (2). Let AO, BO be straight lines placed so as to form a right angle at O, and of length respectively. Produce BO to and AO to . The solution now consists in drawing a parabola, with vertex O and axis O, such that its parameter is equal to BO or , and a hyperbola with O, O as asymptotes such that the rectangle under the distances of any point on the curve from O, O respectively is equal to the rectangle under AO, BO i.e. to . If P be the point of intersection of the parabola and hyperbola, and PN, PM be drawn perpendicular to O, O, i.e. if PN, PM be denoted by , the coordinates of the point P, we shall havewhenceIn the solution of Menaechmus we are to draw the parabola described in the first solution and also the parabola whose vertex is O, axis O and parameter equal to . The point P where the two parabolas intersect is given bywhence, as before,

MenÃ¦chmus, a pupil of Eudoxus, and a contemporary of Plato, found the two mean proportionals by means of conic sections, in two ways, (Î±) by the intersection of two parabolas, the equations of which in Cartesian coordinates would be , , and (Î²) by the intersection of a parabola and a rectangular hyperbola, the corresponding equations being , and respectively. It would appear that it was in the effort to solve this problem that MenÃ¦chmus discovered the conic sections, which are called, in an epigram by Eratosthenes, "the triads of MenÃ¦chmus".
Related words & questions
Related words: hyperbola equation, hyperbola graph, hyperbola meaning, hyperbola equation graph, hyperbola in mathematics, hyperbola equation in maths, hyperbola in physics
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