Parabola

Definition: Parabola

Parabola

Noun

1. A plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the curve.

Date "parabola" was first used: 1579. (references)

Etymology: Parabola \Pa*rab"o*la\, noun; plural Parabolas. [New Latin expression, from the Greek expression -- so called because its axis is parallel to the side of the cone. See Parable, and compare to Parabole.]. (Websters 1913)

Specialty Definitions: Parabola

Domain	Definitions
Aerospace	An open curve all points of which are equidistant from a fixed point, called the focus , and a straight line. See conic section.The limiting case occurs when the point is on the line, in which case the parabola becomes a straight line. (references)
Mathematics	A conic section formed by cutting a cone with a plane parallel to one of the sides of the cone. Source: European Union. (references)
Mining	The shape taken by the curve of a bending moment diagram for a uniformlydistributed load on a beam simply supported. (references)
Source: compiled by the editor from various references; see credits.

Top

Specialty Definition: Parabola

(From Wikipedia, the free Encyclopedia)

A parabola is a conic section generated by the intersection of a cone, and a plane tangent to either the cone or some plane tangent to the cone. If the plane is itself tagent to the cone, one would obtain a degenerate parabola, a line. In other words, a parabola is the locus of points which are equa-distant from a given point (the focus) and a given line (the directrix).

In Cartesian coordinates, a parabola with an axis parallel to the y axis with vertex (h, k), focus (h, k + p), and directrix y = k - p has the equation

A parabola may also be characterized as a conic section with an eccentricity of 1. As a consequence of this, all parabolas are similar. A parabola can also be obtained as the limit of a sequence of ellipses where one focus is kept fixed as the other is allowed to move arbitrarily far away in one direction.

A parabola has a single axis of reflective symmetry, which passes through its focus and is perpendicular to its directrix. The point of intersection of this axis and the parabola is called the vertex. A parabola spun about this axis in three dimensions traces out a shape known as a paraboloid of revolution. See also parabolic reflector.

A particle in motion under the influence of a uniform gravitational field (for instance, a baseball flying through the air, neglecting air friction) follows a parabolic trajectory.

Equations (Cartesian):

Equations (Parametric):

External Links

http://mathworld.wolfram.com/Parabola.html Mathworld - Parabola

Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Parabola."

Top

Synonyms within Context: Parabola

Context	Synonyms within Context (source: adapted from Roget's Thesaurus).
Curvature	Carve, arc, arch, arcade, vault, bow, crescent, half-moon, lunule, horseshoe, loop, crane neck; parabola, hyperbola; helix, spiral; catenary, festoon; conchoid, cardioid; caustic; tracery; arched ceiling, arched roof; bay window, bow window.
Source: adapted from Roget's Thesaurus.

Top

Crosswords: Parabola

English words defined with "parabola": Axis of a curve ♦ Conic section ♦ Helicoid parabola ♦ Parabolas, parabolic, Parabolic conoid, Parabolic spindle, Parabolic spiral, parabolical, Parabolically, Paraboliform ♦ Semiparabola. (references)

Specialty definitions using "parabola": Central Receiver System, crown of beam ♦ Point-focusing Concentrator, positive ray ♦ round of beam ♦ Solar Thermal Parabolic Dishes. (references)

Non-English Usage: "Parabola" is also a word in the following languages with English translations in parentheses.

Czech (parabola), Hungarian (parabola), Indonesian (parabola), Italian (parabola), Latin (comparison, palaver, parable, parley), Serbo-Croatian (parable, parabola).

Top

Modern Usage: Parabola

Domain	Usage
Movie/TV Titles	Parabola d'oro (1955)
Source: compiled by the editor from various references; see credits.

Top

Commercial Usage: Parabola

Domain	Title
Books	Gathering Sparks: Interviews from Parabola Magazine (reference) Hyperbola and the Parabola (reference) Parabola (reference) The First Dog: And Other Chippewa-Cree Stories (The Parabola Storytime Series) [UNABRIDGED] (reference) (more book examples)

Periodicals	Parabola (reference) (more periodical examples)

Music	Parabola [IMPORT] (reference) (more classical music examples; more popular music examples)
Source: compiled by the editor from various references; see credits.

Top

Image Slideshow: Parabola

Top

Usage Frequency: Parabola

"Parabola" is generally used as a noun (singular) -- approximately 95.45% of the time. "Parabola" is used about 44 times out of a sample of 100 million words spoken or written in English. Its rank is based on over 700,000 words used in the English language. Some parts-of-speech are not covered due to the samples used by the British National Corpus. (note: percents less than one-hundredth of one percent have been omitted)

Parts of Speech	Percent	Usage per 100 Million Words	Rank in English
Noun (singular)	95.45%	42	52,864
Noun (proper)	4.55%	2	245,945
Total	100.00%	44	N/A

Source: compiled by the editor from several corpora; see credits.

Top

Expressions: Parabola

Expressions using "parabola": cubical parabola ♦ Helicoid parabola ♦ parabola compasses ♦ semicubical parabola. Additional references.
Source: compiled by the editor from various references; see credits.

Top

Frequency of Internet Keywords: Parabola

The following statistics estimate the number of searches per day across the major English-language search engines as identified by various trade publications. Hyperlinks lead to commercial use of the expression at Amazon.com.

Expression	Frequency per Day
parabola	286
equation parabola	26
la parabola	16
graph parabola	10
formula parabola	9
parabola magazine	9
parabola tool	7
parabola vertex	6
focus parabola	6
parabola picture	5
Source: compiled by the editor from various references; see credits.

Top

Modern Translations: Parabola

Language		Translations for "parabola"; alternative meanings/domain in parentheses.
Albanian		parabolë (parable). (various references)

Arabic		‏القطع المكافئ هندسة. (various references)

Bulgarian		парабола (parable). (various references)

Chinese		抛物线 (Parabolas). (various references)

Czech		parabola. (various references)

Danish		parabole, parabel. (various references)

Dutch		parabool. (various references)

Farsi		قطع مکانی , سهمی , شلجمی (Dome, Ellipse). (various references)

Finnish		paraabeli. (various references)

French		parabole (parable). (various references)

German		parabel (parable). (various references)

Greek		παραβολή (collation, comparison, parable). (various references)

Hebrew		פרבול�". (various references)

Hungarian		parabola. (various references)

Indonesian		parabola. (various references)

Italian		parabola. (various references)

Japanese Kanji		パラフィン紙 (parabola antenna, paraffin paper, parallax, parallel, Paralympics, paramedical, parameter, parameter file, parametric, parametron, paraphrase), 抛物線 , �"�物線 . (various references)

Japanese Katakana		パラボラ , ほうぶつせ�". (various references)

Korean		포물� (Parabolas). (various references)

Manx		paraboil. (various references)

Pig Latin		arabolapay.(various references)

Portuguese		alegoria (allegory, apologue, simile). (various references)

Romanian		parabolã (parable). (various references)

Russian		парабола. (various references)

Serbo-Croatian		parabola (parable). (various references)

Spanish		parábola (parable). (various references)

Swedish		parabel (parable). (various references)

Turkish		parabol. (various references)

Ukranian		парабола. (various references)
Source: compiled by the editor from various translation references.

Top

Ancestral Language Translations: Parabola

Language	Period	Translations
Greek	700 BCE-300 CE	parabole. (various references)
Source: compiled by the editor from various references.

Top

Bible Trace: Parabola

Language	Date	Source	Luke Chapter 8, Verse 11
Greek (transliterated)	250 BC	Septuagint	Estin de auth h parabolh o sporoV estin o logoV tou qeou
Latin	405	Vulgate	Est autem haec parabola semen est verbum Dei
Old English	990	West Saxon	Soðlice þis is þæt bigspell. þæt sæd ys godes word;
Middle English	1395	Wyclif	And this is the parable.
Renaissance English	1526	Tyndale	The similitude is this. The seede is ye worde of God.
Jacobean English	1611	King James	Now the parable is this: The seed is the word of God.
Victorian English	1833	Webster	Now the parable is this: The seed is the word of God.
Basic English	1964	Ogden	Now this is the point of the story: The seed is the word of God.
Source: compiled by the editor from various references; see credits.

Top

Matched Bible Translations: Parabola

Language	Luke Chapter 8, Verse 11
Bulgarian	Прочее, ето значението на притчата: Семето е Божието слово.
Cebuano	Ang kahulogan sa sambingay mao kini: Ang binhi mao ang pulong sa Dios.
Chinese	這 �" 喻乃是這樣．種子就是　神的 �" 。
Croatian	"A ovo je prispodoba: Sjeme je Rijeè Božja.
Danish	Men dette er Lignelsen: Sæden er Guds Ord.
Dutch	Dit is nu de gelijkenis: Het zaad is het Woord Gods.
Finnish	Vertaus on tämä: siemen on Jumalan sana.
French	Voici ce que signifie cette parabole: La semence, c`est la parole de Dieu.
German	Das ist aber das Gleichnis: Der Same ist das Wort Gottes.
Haitian Creole	Men sa parabòl sa a vle di: Grenn y'ap simen an se pawòl Bondye.
Hungarian	A példázat pedig ez: A mag az Isten beszéde.
Indonesian-Bahasa Sehari-hari	"Inilah arti perumpamaan itu: Benih itu ialah perkataan Allah.
Indonesian-Terjemahan Lama	Maka inilah arti perumpamaan itu: Adapun benih itulah Perkataan Allah.
Italian	Il significato della parabola è questo: Il seme è la parola di Dio.
Korean	이 비 � �" 이 러 하 니 라 �"� �" 하 나 님 의 말 �"� 이 �"
Latvian	Bet ðî lîdzîba ir: sçkla ir Dieva vârds.
Manx Gaelic	Nish shoh bun y choraa-dorraghey: Yn rass goo Yee.
Maori	Na, tenei te kupu whakarite: Ko te purapura ko te kupu a te Atua.
Modern Greek	Αυτη δε ειναι η παραβολη· Ο σπορος ειναι ο λογος του Θεου·
Norwegian	Men dette er lignelsen: Sæden er Guds ord.
Portuguese	É, pois, esta a parábola: A semente é a palavra de Deus.
Rumanian	Iatq ce knyeles are pilda aceasta: ,,Sqmknya, este Cuvkntul lui Dumnezeu.
Russian	чПФ ЮФП ЪОБЮЙФ � ТЙФЮБ УЙС: УЕНС ЕУФШ УМПЧП вПЦЙЕ;
Shuar	`Wats, ju nekaatarum, Tímiayi. Jinkiáisha Yusa chichamen nakumui.
Spanish	"Ésta es, pues, la parábola: La semilla es la palabra de Dios.
Swahili	"Basi, maana ya mfano huu ni hii: mbegu ni neno la Mungu.
Swedish	Så är nu detta liknelsens mening: Säden är Guds ord.
Thai	คำอุปมานั้นก็อย่างนี้ เมล็�"พืชนั้นไ�"้แก่พระวจนะของพระเจ้า
Ukrainian	Ось що означа�" ця притча: Зерно це Боже Слово.
Uma	"Tohe'i-mi batua lolita rapa' -ku we'i: Hawua' to rahawu', tetu-mi Lolita Alata'ala.
Source: compiled by the editor from various references; see credits.

Top

Derivations & Misspellings: Parabola

Derivations
	Words beginning with "parabola": parabolas. (additional references)
Misspellings
	"Parabola" is suggested in spellcheckers for the following: Arambol, Batahola, parabellum, parabla, parabol, parabolae, parabolin, parabolio, Paramoa, paranola, Parbold, parobola, praeambula. (additional references)
Source: compiled by the editor, based on several corpora (additional references).

Top

Rhyming with "Parabola"

# of Phoneme Matches	Pronunciation	Word(s) rhyming with "parabola" (pronounced pera"bulu)
4	-b u l u	hyperbola.
3	-u l u	curricula, diverticula, fibula, formula, gondola, nebula, peninsula, scapula.
Source: compiled by the editor (additional references); see credits.

Top

Anagrams: Parabola

Scrabble® Enable2K-Verified Anagrams
	Words within the letters "a-a-a-b-l-o-p-r"
	-1 letter: palabra.
	-2 letters: aboral, labara.
	-3 letters: bolar, boral, labor, labra, lobar, parol, polar.
	-4 letters: alar, alba, baal, boar, bola, bora, opal, oral, para, prao, proa.
	-5 letters: aal, aba, abo, ala, alb, alp, arb, baa, bal, bap, bar, boa, bop, bra, bro, lab, lap, lar, lob, lop, oar, ora, orb, pal, par, pol, pro, rap, rob.
	Words containing the letters "a-a-a-b-l-o-p-r"
	+1 letter: parabolas.
	+4 letters: approachable, paraboloidal.
	+5 letters: parabolically.
Source: compiled by the editor from various references; see credits. SCRABBLE® is a registered trademark. All intellectual property rights in and to the game are owned in the U.S.A and Canada by Hasbro Inc., and throughout the rest of the world by J.W. Spear & Sons Limited of Maidenhead, Berkshire, England, a subsidiary of Mattel Inc. Mattel and Spear are not affiliated with Hasbro.