Copyright © Philip M. Parker, INSEAD. Terms of Use.

Perpendicular

Definition: Perpendicular

Perpendicular

Adjective

1. Intersecting at or forming right angles; "the axes are perpendicular to each other".

2. At right angles to the plane of the horizon or a base line; "a vertical camera angle"; "the monument consists of two vertical pillars supporting a horizontal slab"; "measure the perpendicular height".

3. Extremely steep; "the great perpendicular face of the cliff".

Noun

1. A straight line at right angles to another line.

2. A Gothic style in 14th and 15th century England; characterized by vertical lines, a four-centered (Tudor) arch, fan vaulting.

3. A cord from which a metal weight is suspended pointing directly to the earth's center of gravity; used to determine the vertical from a given point.

4. An extremely steep face.

Source: WordNet 1.7.1 Copyright © 2001 by Princeton University. All rights reserved.
 

Date "perpendicular" was first used: 14th century. (references)

Etymology: Perpendicular \Per`pen*dic"u*lar\, adjective. [Latin perpendicularis, perpendicularius: compare to French perpendiculaire. See Perpendicle, Pension.]. (references)

 

Specialty Definition: Perpendicular

(From Wikipedia, the free Encyclopedia)

Perpendicular is a geometric term that may be used as a noun or adjective. The fundamental meanings pertain to the position of straight lines relative to one another, in which two lines are positioned at an angle of ninety degrees, which is defined as a right angle. Any two lines in Euclidean space which are perpendicular to one another and which intersect automatically define a plane.

Naturally, if a line is given, then a perpendicular is any line at a ninety-degree angle to that line. This is an important property in geometry and trigonometry since important properties accrue to line systems containing right angles. When graphinging, the convention is to use either an X and Y axis, or to use an X, Y, and Z axis, which are defined as being mutually perpendicular. Right triangles, too, include two perpendicular lines and so have special properties, which are the foundation of trigonometry.

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

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Synonyms: Perpendicular

Synonyms: vertical (adj), perpendicular style (n), plumb line (n). (additional references)
Antonyms: horizontal (adj), inclined (adj), oblique (adj), parallel (adj). (additional references)

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Synonyms within Context: Perpendicular

ContextSynonyms within Context (source: adapted from Roget's Thesaurus).

Perpendicularity

Verb: be perpendicular, be orthogonal; intersect at right angles, be rectangular, be at right angles to, intersect at degrees; have no correlation.

Adjective: orthogonal, perpendicular; rectangular; uncorrelated.

Verticality

Adjective: vertical, upright, erect, perpendicular, plumb, normal, straight, bolt, upright; rampant; standing up; Verb: rectangular, orthogonal; a.

Source: adapted from Roget's Thesaurus.

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Crosswords: Perpendicular

English words defined with "perpendicular": Accidental point, altitude, angle of incidence, Angle of reflection, Angle of refraction, Apothem, Axis of a lens, Axis of revolutionBolt uprightCarry arms, Cathetometer, Conjugate axis of a hyperbola, Coriolis effect, cross hair, cross section, cross wire, Cross-garnet, CurtateDip of a stratum, Direct fireFrench roofGeographic latitude, ground planincidence angleKathetal, KiltingLemniscate, Leverage of a couple, Leverage of a force, Line of dipmagnetic field strength, magnetic flux density, magnetic intensity, maxwell, Moment of a couple, Moment of a force, Mural circle, MxNew York point, Newtonian reflector, Newtonian telescope, nitoblique, Oblique fire, obliqueness, Optic axis, Orthognathous, orthogonal, Oscillating engine, Out of truePalet, Palewise, Paly, paraboloid, Peritropal, perpendicularly, poppet, poppet valve, Principal of a quadric, Principal ray, Projection of a point on a planequadrantrectangular, right, right angle, Right sphereSarcina, Secondary circle, SubstyleTo fall home, To fall upon, Triglyph, TwibilUnderlayer, up and downvertical, vertical circle, Vertical line, Vertical planeWall-sided. (references)
Specialty definitions using "perpendicular": compression perpendicular to the grainperpendicular slip, perpendicular throwschoolroom perpendicular setup. (references)
Etymologies containing "perpendicular": Substyle. (references)
Non-English Usage: "Perpendicular" is also a word in the following languages with English translations in parentheses.

Portuguese (apeak, broadside, downright, normal, perpendicular, taproot), Romanian (normal, perpendicular, perpendicularly, sheer, vertical), Spanish (orthographical, perpendicular, up and down, upright, vertical).

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Commercial Usage: Perpendicular

DomainTitle

Books

  • Growing Up Perpendicular on the Side of a Hill (reference)

  • Perpendicular Magnetic Recording, (reference)

  • Proceedings of Perpendicular Magnetic Recording Conference '89 : PMRC '89 : August 29-31, 1989, New Takanawa Prince Hotel, Tokyo, Japan (reference)

  • Straight Lines, Parallel Lines, Perpendicular Lines (reference)

  • The leaning tower, or, Out of the perpendicular (reference)

    (more book examples)

Source: compiled by the editor from various references; see credits.

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Image Slideshow: Perpendicular

Illustrations:
Perpendicular

More pictures...

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Photo Album: Perpendicular

ThumbnailDescription & CreditThumbnailDescription & Credit

Tidal stream at low tide showing parallel ripple pattern in deeper areas versus hummocky pattern in shallower areas. Parallel ripples form perpendicular to tidal flow. Credit: America's Coastlines.

Concrete roadway crossing built perpendicular to a wash to prevent erosion of roadway after the Los Alamos fires, New Mexico. Credit: Jeff Vanuga.

Mediterranean moored to the BAPCO pier at Bahrain, circa July 1948. Mooring description from the original report: "A Mediterranean type moor to the BAPCO pier was employed when the ship refueled. The port anchor was dropped well up stream and thirty fathoms of chain veered. The starboard anchor was then dropped and one hundred and five fathoms of chain veered. At the same time the amount of chain veered to the port anchor was increased to one hundred and thirty-five fathoms. The stern was pushed around until perpendicular to the dock and then secured to the dock ...". Credit: NAVY.

He at once takes a perpendicular drop and lands upon a hard bottom of dull routine and doldrums. Credit: Library of Congress.

Source: pictures compiled by the editor from various references; see picture credits.

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Use in Literature: Perpendicular

TitleAuthorQuote

Les Miserables

Hugo, Victor

This was shown by certain perpendicular wrinkles

Source: compiled by the editor from various references.

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Non-Fiction Usage: Perpendicular

SubjectTopicQuote

Health

This radiograph shows the interstitial changes of early HPS. At the lung bases are Kerley B lines, short linear opacities which are perpendicular to the pleural surfaces. (references)

Source: compiled by the editor from ICON Group International, Inc.; see credits.

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Usage Frequency: Perpendicular

"Perpendicular" is generally used as an adjective (general or positive) -- approximately 66.42% of the time. "Perpendicular" is used about 134 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 SpeechPercentUsage per
100 Million Words
Rank in English
Adjective (general or positive)66.42%8934,931
Noun (singular)33.58%4550,900
                    Total100.00%134N/A

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

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Expressions: Perpendicular

Expressions using "perpendicular": compression perpendicular to the grain in the perpendicular let fall a perpendicular make perpendicular out of perpendicular perpendicular style raise a perpendicular right perpendicular schoolroom perpendicular setup. Additional references.

Hypenated Usage

Ending with "perpendicular": near-perpendicular, neo-perpendicular.

Source: compiled by the editor from various references; see credits.

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Frequency of Internet Keywords: Perpendicular

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.
 
ExpressionFrequency
per Day

perpendicular

39

line perpendicular

21

bisector perpendicular

7

bisectors perpendicular

3

line parallel perpendicular

3

ever line perpendicular plane same touch will

2

direction laser long longer perpendicular

2

equation line perpendicular

2

bisecting line non perpendicular segment two

2

perpendicular recording

2
Source: compiled by the editor from various references; see credits.

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Modern Translation: Perpendicular

Language Translations for "perpendicular"; alternative meanings/domain in parentheses.

Albanian

  

pozicion pingul, pingule (cathetus, normal), pingul (apeak, normal, perpendicularly, Plumb, vertical), perpendikulare (cathetus), perpendikular, thikë (abrupt, blade, knife, rugged, sharp, sharp pain, table knife). (various references)

   

Arabic 

  

‏متعامد (orthogonal, rectangular), ‏سطح خارجي شديد التحدر, ‏عموديا (plumb, vertically), ‏عمودي الخطوط, ‏عمودي (columnar, plumb, steep, straight, upright, vertical), ‏خط عمودي (vertical). (various references)

   

Bulgarian 

  

вертикален (erect, vertical), отвесно положение, отвесен (abrupt, normal, precipitatious, sheer, up and down, upright, vertical), отвес (plumb line, vertical level), много стръмен (precipitatious, sheer), перпендикулярно положение, перпендикулярен (normal, square), перпендикуляр (normal). (various references)

   

Chinese 

  

垂直 (vertical). (various references)

   

Czech

  

svislice (vertical), svislý (vertical), kolmice (normal, plumbing-rule, vertical). (various references)

   

Danish

  

perpendikulær, lodret. (various references)

   

Dutch

  

perpendiculair, loodrecht (right-angle, square, vertical), hoogtelijn (across the slope, contour, contour line, isohypse), haaks (right-angle, square). (various references)

   

Esperanto

  

perpendikulara. (various references)

   

Farsi 

  

ستونی , ستون وار, عمودی (Erect, Lineal, Right, Straight, Upright, Vertical), ایستاده (Standup, Static). (various references)

   

Finnish

  

kohtisuora (vertical), kohti (a, an, at the rate of, per, vertical). (various references)

   

French

  

perpendiculaire. (various references)

   

German

  

Senkrechte (perpendicularly, uprightly, vertical, verticalness, verticle), senkrecht (orthographical, perpendicular (to), perpendicularly, plumb, plumbly, sheer, upright, vertical), Lot (plumb, plumb line, plumbline, plummet, plump, solder, sounding line), Normale (normal). (various references)

   

Greek 

  

κάθετοσ (vertical), κάθετος (vertical). (various references)

   

Hebrew 

  

מאו ך (orthogonal, sheer, upright, vertical), א כי (vertical), צב (quadrature, standing, straight). (various references)

   

Hungarian

  

merőleges (normal, sheer), függőleges (erect, mullioned, plumb, sheer, vertical). (various references)

   

Indonesian

  

tegak lurus (vertical), garis tegak lurus. (various references)

   

Italian

  

perpendicolare (normal). (various references)

   

Japanese Kanji 

  

鉛直 (upright, vertical), 直立  (upright, vertical), 直立 (erect, rise perpendicularly, stand erect, upright, vertical), 垂直  (vertical), 垂直 (vertical). (various references)

   

Japanese Katakana 

  

すいちょく (vertical), ちょくりつ (erect, rise perpendicularly, stand erect, upright, vertical), え"ちょく (upright, vertical). (various references)

   

Korean 

  

수직 (Vertical). (various references)

   

Manx

  

jeeraghan. (various references)

   

Pig Latin

  

erpendicularpay.(various references)

   

Portuguese

  

perpendicular (apeak, downright, normal, taproot). (various references)

   

Romanian

  

perpendicularã, perpendicular (normal, perpendicularly, sheer, vertical), trataţie (regale, regalement), mas, aproape vertical, abrupt (abrupt, abruptly, arduous, bluffy, bold, craggy, desultory, disjointed, harsh, precipitate, precipitous, rapid, sharp, steep). (various references)

   

Russian 

  

перпендикулярный (normal, up and down). (various references)

   

Serbo-Croatian

  

perpendikularan, vertikalan (vertical), vertikala (vertical), normalan (normal, regular, standard), normala (normal, normal state). (various references)

   

Spanish

  

perpendicular (orthographical, up and down, upright, vertical). (various references)

   

Swedish

  

lodrät (perpendicularity, Plumb, sheer, up and down, vertcal, vertical). (various references)

   

Turkish

  

dikey çizgi (vertical), dikey (apeak, orthogonal, Plumb, sheer, upright, vertical), dik (abrupt, arduous, bluff, bold, erect, horny, jagged, precipitous, rapid, right, rough, scarped, sheer, Square, stand up, steep, stiff, straight, up, upright, uprightly, upstanding, vertical), şakül ipi, amut. (various references)

   

Turkmen 

  

dik (steep). (various references)

   

Ukrainian

  

висок (plummet), прямовисний (direct, mural, precipitous, prone, sheer, upright, vertical), прямий (above board, bald, barefaced, bounden, candid, direct, downright, erect, forthright, ostensive, outright, outspoken, plainspoken, point blank, spadish, straight, straightforward, through), перпендикулярний (normal, up and down, vertical), перпендикуляр (normal). (various references)

   

Vietnamese 

  

đường vuông góc, đường trực giao vị trí thẳng đứng dây dọi, đứng ngay. (various references)

Source: compiled by the editor from various translation references.

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Ancestral Language Translations: Perpendicular

LanguagePeriodTranslations
Sumerian3100 BCE-2500 BCE

2. us. (various references)

Latin500 BCE-Modern

perpendicularis. (various references)

Source: compiled by the editor from various references.

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Derivations & Misspellings: Perpendicular

Derivations

Words beginning with "perpendicular": perpendicularities, perpendicularity, perpendicularly, perpendiculars. (additional references)


Misspellings

"Perpendicular" is suggested in spellcheckers for the following: bipendicular, perpendickular, perpendiculair, perpindicular, purpendicular. (additional references)

Source: compiled by the editor, based on several corpora (additional references).

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Rhyming with "Perpendicular"

# of Phoneme MatchesPronunciationWord(s) rhyming with "perpendicular" (pronounced per'pundi"kyuler)
6-i" k y u l ercurricular, extracurricular, particular, testicular, vehicular.
5-k y u l eravuncular, binocular, cardiovascular, circular, gastrovascular, intermolecular, jocular, molecular, muscular, secular, semicircular, spectacular, unspectacular, vascular, vernacular.
4-y u l erangular, annular, cellular, equiangular, globular, granular, intercellular, irregular, jugular, popular, rectangular, regular, singular, triangular, tubular, unicellular, unpopular.
3-u l erembezzler, enabler, abler, alveolar, bachelor, Buckler, Candler, chancellor, consular, councilor, counsellor, counselor, dangler, dissimilar, fiddler, Girdler, glandular, gobbler, hackler, humbler, hurdler, hustler, Idler, insular, jeweler, juggler, kindler, kittler, Littler, modular, needler, nestler, nodular, peninsular, rattler, reveler, saddler, settler, shuffler, Sidler, similar, simpler, Spindler, Stabler, stapler, stickler, subtler, swindler, tingler, Tinkler, titular, traveler, traveller, wrangler, wrestler.

Source: compiled by the editor (additional references); see credits.

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Anagrams: Perpendicular

Scrabble® Enable2K-Verified Anagrams

Words within the letters "a-c-d-e-e-i-l-n-p-p-r-r-u"

-3 letters: uncrippled, underprice, unprepared.

-4 letters: calipered, curlpaper, epicurean, euclidean, launderer, percaline, plunderer, preplaced, prepriced, prurience, puerperal, puerperia, reapplied, unclearer, unclipped, unreadier.

-5 letters: audience, auricled, calender, cerulean, crappier, crippled, crippler, curarine, dapperer, declarer, decliner, dulcinea, endpaper, epidural, incurred, lappered, larcener, larruped, lippened, lippered, nearlier, panderer, panicled, parceled, parcener, paupered, pearlier, peculiar, pedalier, pedicure, peduncle, penciled.

 Words containing the letters "a-c-d-e-e-i-l-n-p-p-r-r-u"
 

+1 letter: perpendiculars.

 

+2 letters: perpendicularly.

 

+3 letters: perpendicularity.

 

+5 letters: perpendicularities.

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.

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INDEX

1. Definition
2. Synonyms
3. Crosswords
4. Usage: Commercial
5. Images: Slideshow
6. Images: Photo Album
7. Quotations: Fiction
8. Quotations: Non-fiction
9. Usage Frequency
10. Expressions
11. Expressions: Internet
12. Translations: Modern
13. Translations: Ancient
14. Derivations
15. Rhymes
16. Anagrams
17. Bibliography


  

Copyright © Philip M. Parker, INSEAD. Terms of Use.