Vertex

Definitions: Vertex

Vertex

Noun

1. The point of intersection of lines or the point opposite the base of a figure.

2. The highest point of something.

Date "vertex" was first used: 1570. (references)

Etymology: Vertex \Ver"tex\, noun; plural Vertexes, from Latin expression Vertices. [Latin expression vertex, -icis, whirl, top of the head, top, summit, from vertere to turn. See Verse, and compare to Vortex.]. (Websters 1913)

Domain	Definitions
Aerospace	1. The highest point of a trajectory or other curve, as the vertexes of a great circle, the points nearest the poles.2. = node, sense 3. (references)
Computing	Also called junction point, branch point, or vertex. A terminal of any branch of a network, or a terminal common to two or more branches. Source: European Union. (references)
Electrical Engineering	The end-point of a branch in a network or a point at which two or more branches meet. Source: European Union. (references)
Math	A visual depiction of membership in sets according to binary properties, using overlapping ovals to divide the plane into regions. Regions inside an oval have the property the oval represents, while regions outside it do not have the property. Regions are shaded to show combinations of properties (or sets) of interest, or elements are placed in regions corresponding to their properties (or membership). (references)
Public Administration	A point in a network which provides a choice between signal routes. Used chiefly in network planning and network theory. (PH/PTIH). Source: European Union. (references)
Source: compiled by the editor from various references; see credits.

A vertex (Latin: whirl, whirlpool; plural vertices), in geometry, is a corner of a polygon (where two sides meet) or of a polyhedron (where three or more faces and an equal number of edges meet).

In 3D computer graphics, a vertex is a point in 3D space with a particular location, usually given in terms of its x, y, and z coordinates. It is one of the fundamental structures in polygonal modelling: two vertices, taken together, can be used to define the endpoints of a line; three vertices can be used to define a planar triangle.

In graph theory, a graph describes a set of connections between nodes. Each node or vertex can map to an object. The connections between the nodes are called edges or arcs.

Synonyms: Vertex

Synonyms: acme (n), apex (n), peak (n). (additional references)

Synonyms by domain: vertexes (public administrationelectrical engineeringcomputing, electrical engineering).

Context	Synonyms within Context (source: adapted from Roget's Thesaurus).
Summit	Noun: summit, summity; top, peak, vertex, apex, zenith, pinnacle, acme, culmination, meridian, utmost height, ne plus utra, height, pitch, maximum, climax, culminating point, crowning point, turning point; turn of the tide, fountain head; water shed, water parting; sky, pole.
Source: adapted from Roget's Thesaurus.

Domain	Usage
Movie/TV Titles	Vertex (2000)
Source: compiled by the editor from various references; see credits.

Domain	Title
References	Vertex Communications Corporation: International Competitive Benchmarks and Financial Gap Analysis (reference) Vertex Link Corporation: International Competitive Benchmarks and Financial Gap Analysis (reference) Vertex Pharmaceuticals Inc: International Competitive Benchmarks and Financial Gap Analysis (reference) Vertex Precision Electronics, Inc.: International Competitive Benchmarks and Financial Gap Analysis (reference) Vertex Standard Co., Ltd.: International Competitive Benchmarks and Financial Gap Analysis (reference) (more reference examples)

Books	Generalized Vertex Algebras and Relative Vertex Operators (reference) Knobias Full Microcap Stock Report: Vertex Interactive Inc(OTCBB:VETX) [DOWNLOAD: PDF] (reference) VERTEX A.S.: International Competitive Benchmarks and Financial Gap Analysis [DOWNLOAD: ADOBE READER] (reference) VERTEX LINK CORP.: International Competitive Benchmarks and Financial Gap Analysis [DOWNLOAD: ADOBE READER] (reference) Vertex Operator Algebras and the Monster (Pure and Applied Mathematics, Vol 134) (reference) (more book examples)

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

Subject	Topic	Quote
Economic History	Tanzania	The contract for leasing the THA Container Terminal for a period of 10 years was signed with a consortium comprising the International Container Terminal Services Incorporation (ICTSI) of Philippines, Container Terminal Holdings Corporation also from the Philippines and a Tanzania firm named Vertex Financial Services Limited on May 5, 2000. In general, the government of Tanzania is planning to privatize THA in order to improve efficiency of port operations, enhance quality of services offered to customers, to improve the port's competitiveness over other regional ports, and to improve profitability of port operations. (references)
Source: compiled by the editor from ICON Group International, Inc.; see credits.

"Vertex" is generally used as a noun (singular) -- approximately 94.87% of the time. "Vertex" is used about 39 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)	94.87%	37	56,631
Lexical Verb (base form)	5.13%	2	245,945
Total	100.00%	39	N/A

Expressions using "vertex": vertex height ♦ vertex of a curve ♦ vertex of a solid ♦ vertex of a surface of revolution ♦ vertex of an angle ♦ vertex presentation. Additional references.
Source: compiled by the editor from various references; see credits.

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.

Language		Translations for "vertex"; alternative meanings/domain in parentheses.
Albanian		zenit (noon, topgallant, zenith), tepe (poll), majë (aiguille, alp, apex, cusp, height, nab, naze, Neb, needle, nib, peak, Pike, pinnacle, point, projection, Spike, spire, summit, tine, tip, tiptop, top, topping, woof), kulm (acme, apex, bloom, climax, crescendo, crisis, crown, culmination, dead, extremity, flower, heat, height, heyday, meridian, nab, payoff, peak, pink, pinnacle, prime, summit, superlative, tiptop, top, zenith). (various references)

Arabic		‏هامة (crown, vermin), ‏قمة الرأس (pate, top), ‏قمة (acme, apex, climax, cop, crest, crown, head, height, heyday, high, meridian, peak, pinnacle, prime, summit, tip, tiptop, top, zenith), ‏قنة (pinnacle), ‏سمت, ‏ذروة (acme, cap, climax, crown, heyday, paroxysm, pinnacle, roof, summit, top, zenith), ‏رأس (apex, bean, cos, head, noggin, pate, point, poll, preside, superintend, tip, top, trunk). (various references)

Bulgarian		теме (corona, crown, pate, pericranium, poll, sconce), върхът на черепа, връх (acme, apex, cap, consummation, cope-stone, cusp, extremity, full, gad, head, height, heyday, loop, meridian, peak, perfection, pink, pinnacle, point, summit, tip, tiptop, top, topping), зенит (culmination, meridian, zenith). (various references)

Chinese		端点 (Vertexes, Vertices). (various references)

Czech		vrchol (acme, apex, brow, cusp, height, heyday, peak, pink, pinnacle, summit, top, zenith), temeno (crown, peak, top). (various references)

Danish		top (head, market top, peak, peak value, point, summit, surface, tip, top), node (node, note), maximumspunkt, knudepunkt (crossing, crossroadsÖøø ø è>ô:, intersection, junction, nodal plane, nodal point, node, road junction), knude (atrioventricular node, burbot, droplet, eel pout, knot, netting knot, nodal point, node, nodesity, nodositas, nodosity, nodule, nodus, snarl, tear drop, tubercle). (various references)

Dutch		vertex, kruispunt (branch, branch point, cross roads, crossing, crossroads, crossroadsÖøø ø è>ô:, intersection, junction, junction point, node, road junction, side road, signing intersection), knooppunt (branch point, demerge, diverge, junction point, knot, nodal point, node, transit centre), hoekpunt (node). (various references)

Farsi		فرق (Difference, Head, Inequality, Odds, Top), نوک (Apex, Ascendant, Barb, Bill, End, Head, Horn, Jag, Peak, Point, Ridge, Summit, Tip, Top), قله (Acme, Climax, Crest, Culmination, Knoll, Pap, Peak, Point, Summit, Top, Zenith), تارک (Apex, Diadem), سر (Acme, Apex, Cabal, Chief, Corona, End, Extremity, Mystery, Pash, Pate, Plug, Point, Ruler, Secret, Thought, Top), راس (Cap, Climax, Head, Peak, Pinnacle, Tip, Top). (various references)

Finnish		verteksi, solmu (knot, netting knot, nodal point, node), kärki (apex, center of a machine tool, centre, edge, end, leg, peak, point, point apex tip, point of a hook, spreader, spreading wire, summit, tip), huippu (apex, peak, peak value, summit, top). (various references)

French		sommet. (various references)

German		Scheitel (apex, cortex, node, part, parting, top of the head, vertexes, vertices). (various references)

Greek		κορυφή (acknowledger, apex, atop, climax, cream, crest, crown, cusp, head, market top, mode, mountaintop, needle, peak, peak magnitude, peak value, ridge, summit, tiptop, top). (various references)

Hebrew		ק�"קו�" (apex, crown, head, top). (various references)

Hungarian		csúcs (aces, apex, apical, crest, culmination, gable, peak, pinnacle, pitch, point, summit, tip, tiptop, to be all aces, top, vertices). (various references)

Italian		vertice (peak, root layer, summit, top, top management, zenith). (various references)

Japanese Kanji		� �� (parietal, top of the head), 天� � (zenith). (various references)

Japanese Katakana		とうちょう (attending a government office, bug, climbing to the summit, interception, island government office, isotonic, parietal, Tang Dynasty, top of the head, wiretap), て�"ちょう (changing key, emperor's knowledge, imperial court, modulation, shop manager, zenith). (various references)

Korean		� �� (Apex, Apical, Apices, Vertexes, Vertices). (various references)

Manx		mullagh (apex, capital, ceiling, ceiling of prices, crest, crest of wave, crisis, crisis of illness, culmination, eminence, peak, pinnacle, ridge, roofing, summit, top). (various references)

Pig Latin		ertexvay

Portuguese		vértice (apex, crown, summit, surface, top). (various references)

Romanian		zenit (acme, climax, zenith), culme (acme, apex, apogee, climax, crest, culmination, height, heyday, it, noon, noonday, noontide, paroxysm, peak, perfection, perisher, ridge, summit, top, zenith). (various references)

Russian		вершина (acme, apex, apices, culm, mountaintop, nab, peak, pinnacle, root, summit, tip, top). (various references)

Serbo-Croatian		vrhunac (acme, climax, heyday, highlight, peak, pinnacle, roof, tiptop, top, zenith), najviša tačka (pitch, topgallant). (various references)

Spanish		vértice (apex, vortex). (various references)

Swedish		vertex, topp (apex, crest, crown, head, height, peak, peak value, summit, tip, top, zenith), nod (intersection, nodal point, node), knutpunkt (intersection, junction, node), högsta punkt. (various references)

Turkish		zirve (acme, apex, apogee, cap, climax, crown, culmination, cusp, head, height, high, high tide, meridian, payoff, peak, Pike, pink, pinnacle, summit, top, zenith), tepe (apex, apical, cap, crest, crown, down, eminence, eminency, fell, head, height, Hill, hump, Mount, peak, ridge, rise, roof, tip, top, topknot), doruk (acme, apex, apical, apogee, climax, crest, culmination, cusp, height, heyday, high tide, meridian, peak, pinnacle, sum, summit, top, zenith), başucu (bedside, zenith), başın tepesi. (various references)

Ukranian		вершина (altitude, apex, nab, pinnacle, spur, sublime, summit, superlative), зеніт (apex, culmination, heyday, meridian, noon, noonday, summit, zenith). (various references)
Source: compiled by the editor from various translation references.

Language	Period	Translations
Latin	500 BCE-Modern	vertex. (various references)
Source: compiled by the editor from various references.

Language	Date	Source	Amos Chapter 1, Verse 2
Greek (transliterated)	250 BC	Septuagint	Kai eipen kurioV ek siwn efqegxato kai ex ierousalhm edwken fwnhn autou kai epenqhsan ai nomai twn poimenwn kai exhranqh h korufh tou karmhlou
Latin	405	Vulgate	Et dixit Dominus de Sion rugiet et de Hierusalem dabit vocem suam et luxerunt speciosa pastorum et exsiccatus est vertex Carmeli
Middle English	1395	Wyclif	And he saide, The Lord shal rore of Syon, and of Jerusalem shal yeue his voice; and the faire thingus of sheperdis mourneden, and the top of Carmele is dried vp.
Jacobean English	1611	King James	And he said, The LORD will roar from Zion, and utter his voice from Jerusalem; and the habitations of the shepherds shall mourn, and the top of Carmel shall wither.
Victorian English	1833	Webster	And he said, The LORD will roar from Zion, and utter his voice from Jerusalem; and the habitations of the shepherds shall mourn, and the top of Carmel shall wither.
Basic English	1964	Ogden	And he said, The Lord will give a lion's cry from Zion, his voice will be sounding from Jerusalem; and the fields of the keepers of sheep will become dry, and the top of Carmel will be wasted away.
Source: compiled by the editor from various references; see credits.

Language	Amos Chapter 1, Verse 2
Albanian	Ai tha: "Zoti bërtet nga Sioni dhe bën që të dëgjohet zëri i tij në Jeruzalem; kullotat e barinjve janë të shkreta dhe maja e Karmelit u tha".
Bulgarian	и рече: - �"оспод ще изрикае от Сион, И ще издаде гласа Си от Eрусалим; Пасбищата на овчарите ще ридаят, И върхът на Кармил ще повехне.
Cebuano	Ug siya miingon: Si Jehova mopadahunog sa iyang tingog gikan sa Sion, ng mopagula sa iyang tingog gikan sa Jerusalem; ug ang mga sibsibanan sa mga magbalantay sa carnero managbangotan, ug ang kinatumyan sa Carmelo magamala.
Chinese	他說、耶 �'� 華必從錫安吼叫、從耶路 �'' 冷發聲．牧人的草 � � 要悲 �"� 、迦密的山 � � 要枯乾。
Croatian	Veli on: "Jahve grmi sa Siona, iz Jeruzalema glas mu se ori; stoèarski pašnjaci tuže i suši se vrh Karmela."
Danish	Han sagde: HERREN brøler fra Zion, fra Jerusalem løfter han sin Røst; Hyrdernes Græsmarker sørger, vissen er Karmels Top.
Dutch	En hij zeide: De HEERE zal brullen uit Sion, en Zijn stem verheffen uit Jeruzalem; en de woningen der herderen zullen treuren, en de hoogte van Karmel zal verdorren.
Finnish	Ja hän sanoi: Herra ärjyy Siionista, hän jylisee Jerusalemista, ja paimenten laitumet lakastuvat, ja Karmelin laki kuivuu.
French	Il dit: De Sion l`Éternel rugit, De Jérusalem il fait entendre sa voix. Les pâturages des bergers sont dans le deuil, Et le sommet du Carmel est desséché.
German	Und er sprach: Der HERR wird aus Zion brüllen und seine Stimme aus Jerusalem hören lassen, daß die Auen der Hirten jämmerlich stehen werden und der Karmel oben verdorren wird.
Haitian Creole	Amòs di: -Seyè a rete sou mòn Siyon, l'ap gwonde. Li rete lavil Jerizalèm, li pale byen fò. Lamenm, savann mouton yo fennen. Zèb ki sou tèt mòn Kamèl la cheche.
Hungarian	És mondá: A Sionról megharsan az Úr és Jeruzsálembõl megzendül, és elhervadnak a pásztorok legelõi, és megszárad a Kármel teteje.
Indonesian-Bahasa Sehari-hari	Inilah yang dikatakan Amos, "TUHAN mengaum dari Bukit Sion, suara-Nya menggemuruh dari Yerusalem. Padang-padang rumput menjadi gersang, rumput di Gunung Karmel kering kerontang."
Indonesian-Terjemahan Lama	Demikianlah sabda-Nya: Bahwa Tuhanpun menderu dari dalam Sion, diperdengarkan-Nya bunyi suara-Nya dari dalam Yeruzalem; sehingga murunglah segala pondok gembala dan layulah kemuncak Karmel.
Italian	Egli disse: «Il Signore ruggisce da Sion e da Gerusalemme fa udir la sua voce; sono desolate le steppe dei pastori, è inaridita la cima del Carmelo».
Korean	� � 가 가 로 되 여 호 와 께 서 시 온 에 서 부 터 부 르 짖 으 시 며 예 루 살 � � 에 서 부 터 음 성 을 발 하 시 리 니 목 자 의 초 장 이 � 통 하 며 갈 멜 산 꼭 대 기 가 마 르 리 로 다
Maori	A i mea ia, Ka hamama a Ihowa i Hiona, ka puaki hoki tona reo i Hiruharama; a ka tangi nga haerenga hipi a nga hepara, ka maroke hoki te tihi o Karamere.
Modern Greek	Και ειπεν, Ο Κυριος θελει βρυχησει εκ Σιων και θελει εκπεμψει την φωνην αυτου εξ Ιερουσαλημ· και αι κατοικιαι των ποιμενων θελουσι πενθησει, και η κορυφη του Καρμηλου θελει ξηρανθη.
Norwegian	Han sa: Herren skal brøle fra Sion og la sin røst høre fra Jerusalem, og hyrdenes beitemarker skal sørge, og Karmels topp bli tørr.
Portuguese	Disse ele: O Senhor brama de Sião, e de Jerusalém faz ouvir a sua voz; os prados dos pastores lamentam, seca-se o cume do Carmelo.
Rumanian	El a zis: ,,Domnul rqcnewte din Sion, glasul Lui rqsunq din Ierusalim. Pqwunele pqstorilor jqlesc, wi vkrful Carmelului este uscat.
Russian	й УЛБЪБМ ПО: зПУ� П�"Ш ЧПЪЗТЕНЙФ У уЙПОБ Й �"БУФ ЗМБУ уЧПК ЙЪ йЕТХУБМЙНБ, Й ЧПУ� МБЮХФ ИЙЦЙОЩ � БУФХИПЧ, Й ЙУУПИОЕФ ЧЕТЫЙОБ лБТНЙМБ.
Spanish	Dijo Amós: "¡Jehovah ruge desde Sion y da su voz desde Jerusalén! Se enlutan los prados de los pastores, y se seca la cumbre del Carmelo."
Swedish	Han sade: HERREN upphäver ett rytande från Sion, och från Jerusalem låter han höra sin röst. Då försänkas herdarnas betesmarker i sorg, och Karmels topp förtorkas.
Thai	ท่านกล่าวว่า "พระเยโฮวาห์จะทรงเปล่งพระสิงหนาทจากศิโยน และจะทรงเปล่งพระสุรเสียงของพระองค์จากเยรูซาเล็ม ลานหญ้าของผู้เลี้ยงแกะจะโศกเศร้า และยอ�"� ูเขาคารเมลก็จะเหี่ยวไป"
Ukrainian	І він проказав: Загримить із Сіону �"осподь, і з Єрусалиму Свій голос подасть, і впадуть пасовища пастуші в жалобу та всохне вершина Кармелу!
Source: compiled by the editor from various references; see credits.

Derivations
	Words beginning with "vertex": vertexes. (additional references)
Misspellings
	"Vertex" is suggested in spellcheckers for the following: Vartaq, veete, verate, verbex, verite, vernex, verpe, Versteeg, Verster, verte, Vertec, vertel, vertix, verto, vertus, virex, virtex, Vitrex, vortec. (additional references)
Source: compiled by the editor, based on several corpora (additional references).

# of Phoneme Matches	Pronunciation	Word(s) rhyming with "vertex" (pronounced ver"te'ks)
4	-t e' k s	biotechs, latex, videotex.
3	-e' k s	annex, apex, bottlenecks, Cineplex, duplex, metroplex, multiplex, paychecks, rednecks, roughnecks, simplex, telex, tenrecs, turtlenecks, unisex.
Source: compiled by the editor (additional references); see credits.

Scrabble® Enable2K-Verified Anagrams
	Words within the letters "e-e-r-t-v-x"
	-1 letter: evert, exert, revet, vexer.
	-2 letters: ever, rete, tree, veer, vert, vext.
	-3 letters: ere, eve, ree, ret, rev, rex, tee, vee, vet, vex.
	-4 letters: er, et, ex, re.
	Words containing the letters "e-e-r-t-v-x"
	+2 letters: exertive, vertexes, vortexes.
	+3 letters: extortive, extravert, extrovert, extrusive, overexert, overtaxed, overtaxes.
	+4 letters: execrative, extractive, extraverts, extroverts, overexcite, overexerts, overextend.
	+5 letters: exhortative, exonerative, explorative, extractives, extravagate, extravasate, extraverted, extroverted, overanxiety, overexcited, overexcites, overexerted, overexploit, overextends, reflexivity.
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.

Hexadecimal (or equivalents, 770AD-1900s) (references)

56 65 72 74 65 78

Leonardo da Vinci (1452-1519; backwards) (references)

American Sign Language (origins from 1620-1817 in Italy and, especially, France) (references)

⁼

Semaphore (1791, in France) (references)

Braille (1829, in France) (references)

Morse Code (1836) (references)

...- . .-. - . -..-

Dancing Men (Sir Arthur Conan Doyle, 1903) (references)

Binary Code (1918-1938, probably earlier) (references)

01010110 01100101 01110010 01110100 01100101 01111000

HTML Code (1990) (references)

&#86 &#101 &#114 &#116 &#101 &#120

ISO 10646 (1991-1993) (references)

0056 0065 0072 0074 0065 0078

British Sign Language (Fingerspelling, BSL; 1992, British Deaf Association Dictionary of British Sign Language) (references)

Encryption (beginner's substitution cypher): (references)

Country	Name	Country	Name
Japan	Vertex Link Corporation	Taiwan	Vertex Precision Electronics, Inc.
USA	Vertex Communications Corporation
	(more examples...)

Expression	Frequency per Day
vertex	498
vertex radio	64
vertex standard	61
vertex pharmaceutical	45
aerospace vertex	36
rsi vertex	22
inc vertex	15
vertex piston	12
vertex vx 10	11
body kit vertex	10
magneto vertex	10
antenna vertex	9
vertex software	9
shader vertex	8
edge graph vertex	8
vertex communication	7
pharma vertex	7
compliance tax vertex	7
yaesu vertex	6
parabola vertex	6
Source: compiled by the editor from various references; see credits.

Vertex

Definitions: Vertex

Vertex

Noun

Specialty Definitions: Vertex

Aerospace

Computing

Electrical Engineering

Math

Public Administration

Specialty Definition: Vertex

Synonyms: Vertex

Synonyms within Context: Vertex

Summit

Crosswords: Vertex

Modern Usage: Vertex

Movie/TV Titles

Commercial Usage: Vertex

References

Books

Music

Non-Fiction Usage: Vertex

Economic History

Tanzania

Usage Frequency: Vertex

Usage in Company Names: Vertex

Vertex Link Corporation

Vertex Precision Electronics, Inc.

Vertex Communications Corporation

Expressions: Vertex

Frequency of Internet Keywords: Vertex

vertex

vertex radio

vertex standard

vertex pharmaceutical

aerospace vertex

rsi vertex

inc vertex

vertex piston

vertex vx 10

body kit vertex

magneto vertex

antenna vertex

vertex software

shader vertex

edge graph vertex

vertex communication

pharma vertex

compliance tax vertex

yaesu vertex

parabola vertex

Modern Translations: Vertex

Albanian

Arabic

Bulgarian

Chinese

Czech

Danish

Dutch

Farsi

Finnish

French

German

Greek

Hebrew

Hungarian

Italian

Japanese Kanji

Japanese Katakana

Korean

Manx

Pig Latin

Portuguese

Romanian

Russian

Serbo-Croatian

Spanish

Swedish

Turkish

Ukranian