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Meaning of "trisection" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF TRISECTION

trisection  [traɪˈsɛkʃən] play
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GRAMMATICAL CATEGORY OF TRISECTION

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Trisection is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES TRISECTION MEAN IN ENGLISH?

trisection

Angle trisection

Angle trisection is a classic problem of compass and straightedge constructions of ancient Greek mathematics. It concerns construction of an angle equal to one third of a given arbitrary angle, using only two tools: an unmarked straightedge, and a compass. The problem as stated is generally impossible to solve, as shown by Pierre Wantzel. Wantzel's proof relies on ideas from the field of Galois theory—in particular, trisection of an angle corresponds to the solution of a certain cubic equation, which is not possible using the given tools. Note that the fact that there is no way to trisect an angle in general with just a compass and a straightedge does not mean that there is no trisectible angle: for example, it is relatively straightforward to trisect a right angle. It is, however, possible to trisect an arbitrary angle, but using tools other than straightedge and compass. For example, neusis construction, also known to ancient Greeks, involves simultaneous sliding and rotation of a marked straightedge, which cannot be achieved with the original tools. Other techniques were developed by mathematicians over centuries.

Definition of trisection in the English dictionary

The definition of trisection in the dictionary is a division into three parts.

WORDS THAT RHYME WITH TRISECTION


antivivisection
ˌæntɪˌvɪvɪˈsɛkʃən
bisection
baɪˈsɛkʃən
collection
kəˈlɛkʃən
connection
kəˈnɛkʃən
correction
kəˈrɛkʃən
detection
dɪˈtɛkʃən
direction
dɪˈrɛkʃən
election
ɪˈlɛkʃən
exsection
ɛkˈsɛkʃən
intersection
ˌɪntəˈsɛkʃən
midsection
ˈmɪdˌsɛkʃən
protection
prəˈtɛkʃən
quadrisection
ˌkwɒdrɪˈsɛkʃən
resection
rɪˈsɛkʃən
section
ˈsɛkʃən
selection
sɪˈlɛkʃən
subsection
ˈsʌbˌsɛkʃən
venesection
ˈvɛnɪˌsɛkʃən
venisection
ˌvɛnɪˈsɛkʃən
vivisection
ˌvɪvɪˈsɛkʃən

WORDS THAT BEGIN LIKE TRISECTION

trisaccharide
trisagion
trisect
trisector
trisectrices
trisectrix
triseme
trisemic
triserial
trishaw
triskaidekaphobia
triskaidekaphobic
triskele
triskelia
triskelion
Trismegistus
trismic
trismus
trismus cynicus
trisoctahedra

WORDS THAT END LIKE TRISECTION

accreditation
action
addiction
attraction
auction
construction
course of action
court of competent jurisdiction
destruction
fiction
function
instruction
interaction
introduction
out of action
production
reaction
reduction
reproduction
satisfaction
transaction

Synonyms and antonyms of trisection in the English dictionary of synonyms

SYNONYMS

Translation of «trisection» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF TRISECTION

Find out the translation of trisection to 25 languages with our English multilingual translator.
The translations of trisection from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «trisection» in English.

Translator English - Chinese

三等分
1,325 millions of speakers

Translator English - Spanish

trisección
570 millions of speakers

English

trisection
510 millions of speakers

Translator English - Hindi

त्रिभाजन
380 millions of speakers
ar

Translator English - Arabic

trisection
280 millions of speakers

Translator English - Russian

трисекция
278 millions of speakers

Translator English - Portuguese

trisection
270 millions of speakers

Translator English - Bengali

ত্রিখণ্ডন
260 millions of speakers

Translator English - French

trisection
220 millions of speakers

Translator English - Malay

Trisection
190 millions of speakers

Translator English - German

Dreiteilung
180 millions of speakers

Translator English - Japanese

三等分
130 millions of speakers

Translator English - Korean

삼분
85 millions of speakers

Translator English - Javanese

Triseksi
85 millions of speakers
vi

Translator English - Vietnamese

trisection
80 millions of speakers

Translator English - Tamil

trisection
75 millions of speakers

Translator English - Marathi

त्रिभुज
75 millions of speakers

Translator English - Turkish

triseksiyon
70 millions of speakers

Translator English - Italian

trisezione
65 millions of speakers

Translator English - Polish

Trysekcja
50 millions of speakers

Translator English - Ukrainian

трисекція
40 millions of speakers

Translator English - Romanian

Împărțire în trei
30 millions of speakers
el

Translator English - Greek

τριπλοτομέα
15 millions of speakers
af

Translator English - Afrikaans

driedeling
14 millions of speakers
sv

Translator English - Swedish

tredelning
10 millions of speakers
no

Translator English - Norwegian

tredeling
5 millions of speakers

Trends of use of trisection

TRENDS

TENDENCIES OF USE OF THE TERM «TRISECTION»

The term «trisection» is normally little used and occupies the 136.699 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Little used
36
/100
The map shown above gives the frequency of use of the term «trisection» in the different countries.
Principal search tendencies and common uses of trisection
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «trisection».

FREQUENCY OF USE OF THE TERM «TRISECTION» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «trisection» during the past 500 years. Its implementation is based on analysing how often the term «trisection» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about trisection

EXAMPLES

10 ENGLISH BOOKS RELATING TO «TRISECTION»

Discover the use of trisection in the following bibliographical selection. Books relating to trisection and brief extracts from same to provide context of its use in English literature.
1
The Secret of the Circle and Trisection of Angles
This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series.
Jeremy Carlisle Willmon, 2010
2
A Textbook of Belief Dynamics: Theory Change and Database ...
We can instead use a closely related postulate: Strong conjunctive trisection: lfA+ (ak0) \- a, then A+(ak/3k6) h a. Note that the difference between conjunctive trisection and strong conjunctive trisection vanishes for a logically closed set, if the ...
Sven Ove Hansson, 1999
3
Mathematical Cranks
I think that trisectors are people of unsatisfied ambition, and the trisection is their last attempt at fulfilling it. Now and then, though, a trisector appears who is not old but in the prime of life. However, such trisectors usually have, for one reason or ...
Underwood Dudley, 1992
4
Fault Tolerant Event Boundary Detection and Target Tracking ...
Trisection for ellipse Bisection for ellipse Trisection for straight line Bisection for sraight line 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0.12 0.14 0.16 0.18 0.2 0.22 0.24 0.26 Sensor outlying probability (a.1) Degree of fitting when density  ...
Min Ding, 2008
5
Big Typescript: TS 213
We could say: In Euclidean plane geometry we can't search for the trisection of an angle, because there is no such thing – and we can't search for the bisection of an angle, because there is such a thing. In the world of Euclid's Elements I can  ...
Ludwig Wittgenstein, 2008
6
Regular Polygons I: Applying New Theory of Trisection to ...
The most achievement of Chen's work is to construct a regular heptagon by heptasecting a right central angle in a defined circle and following a pattern method of constructing a regular triangle, tetragon, pentagon, and hexagon.
Fen Chen, 2001
7
Engineering Mathematics: Vol. 1
(2) _ 1 (P. V.ofB) + 2(P. V.oiN) _ 1+2 "rJ Thus the point of trisection of AC is also the point of trisection of BN . U. CQ:QA=NQ-BQ=\:2 Also ( 1 ) can be written as 2a + c =a + b + d U + b^ or 2a + c d + 2 = r2say ...(3) 2 (P. V.of A) + 1. (P. V.of O 2+ 1 2 ...
P. P. Gupta, S. B. Singh
8
CRC Concise Encyclopedia of Mathematics, Second Edition
3074. Trisected. Perimeter. Point. Trisection. Trisected Perimeter Point A triangle center which has a TRIANGLE CENTER FUNCTION a = bc(v — c + a)(v — a + b), where v is the unique REAL ROOT of 2x3 - 3(a + b + c)*2 + (a2 + b2 + c2 + 8bc ...
Eric W. Weisstein, 2002
9
Philosophical Grammar: Part I, The Proposition, and Its ...
What kind of trisection is meant in this question ? - that's obviously what the sense of the question depends on. For instance, is what is meant physical trisection - trisection, that is, by trial and error and measurement? In that case the answer is ...
Ludwig Wittgenstein, 1974
10
Redefining Geometrical Exactness: Descartes' Transformation ...
After explaining the standard construction of third- and fourth-degree equations, he first dealt with the two most obvious examples: he showed that both the determination of two mean proportionals and the trisection could be constructed by ...
H. J. M. Bos, 2001

10 NEWS ITEMS WHICH INCLUDE THE TERM «TRISECTION»

Find out what the national and international press are talking about and how the term trisection is used in the context of the following news items.
1
Ban on entry of heavy vehicles due to 'Kanwar Yatra'?
Traffic coming from Loni side would be diverted from Bhopura trisection towards Seemapuri in East Delhi, he said. Yadav further told that in view of religious ... «Press Trust of India, Jul 15»
2
Police radio op dies in road accident | Lucknow NYOOOZ
A speeding dumper rammed his motorcycle near the Dewa road trisection of Faizabad road killing Mishra on the spot. LUCKNOW: Four persons died in road ... «NYOOOZ, Jul 15»
3
Scuffle over towing away of wrongly parked car
LMC's crane driver Suraj Singh and traffic constable Sehdev Singh were picking up cars parked in no parking zone near Alka trisection. They were towing away ... «Times of India, Jul 15»
4
Two members of auto-lifters gang arrested
According to police, acting on a tip-of, a crime branch team laid a trap near Chaar Rad trisection in Babupurwa area and arrested two members of the gang who ... «Times of India, Jul 15»
5
Traffic diversions today for Ramzan procession
Vehicles coming towards Eveready trisection will be diverted towards Alambagh -- Traffic between Mawaiyya trisection and Everready trisection will remain ... «Times of India, Jul 15»
6
GDA to ease traffic flow near ABES trisection
In the last five years, more than 64 accidents have taken place at the trisection, resulting in 43 deaths. This spot is also one of the busiest and traffic jams, ... «Times of India, Jul 15»
7
Lawyer shot at in UP, colleagues suspend work
Vikas Singh alias Vicky Thakur was on his way to court on his motorcycle today when unidentified bike-borne persons shot him from behind near DAV trisection, ... «Zee News, Jul 15»
8
One-way remedy for multiple traffic woes
Starting from Aminabad crossing till the post office trisection, the entire road is blocked by vendors. The situation is worse on the way to Hanuman Mandir ... «Times of India, Jun 15»
9
Seven gang members arrested in Gzb
Anil Painda, Rakesh, Bheem, Prashant, Rahul, Ravi and Chote were arrested by the police from a trisection near the railway station last night, they said. «Business Standard, Mar 15»
10
'Crossdresser' shot dead after being sodomised
On the intervening night of March 4 and 5, Dilawar along with the four accused - Aditya, Rihan, Monu and Ravi - consumed liquor at Bhopura road trisection and ... «Business Standard, Mar 15»

REFERENCE
« EDUCALINGO. Trisection [online]. Available <https://educalingo.com/en/dic-en/trisection>. Apr 2024 ».
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