Copyright © Philip M. Parker, INSEAD. Terms of Use.
Definition: Bisection |
BisectionNoun1. Dividing into two equal parts. Source: WordNet 1.7.1 Copyright © 2001 by Princeton University. All rights reserved. |
Date "bisection" was first used in popular English literature: sometime before 1839. (references) |
Etymology: Bisection \Bi*sec"tion\, noun. [Compare to the French expression bissection.]. (Websters 1913) |
| Context | Synonyms within Context (source: adapted from Roget's Thesaurus). |
bisection | Noun: bisection, bipartition; dichotomy, subdichotomy; halving; Verb: dimidiation. |
Middle | Equidistance, bisection, half distance; equator, diaphragm, midriff; intermediate. |
| Source: adapted from Roget's Thesaurus. | |
(From Wikipedia, the free Encyclopedia)
It is numerically less efficient than Newton's method but it is much less prone to odd behavior.
In geometry, bisection refers to dividing an object exactly in half, usually by a line, which is then called a bisector. The most often considered types of bisectors are segment bisectors and angle bisectors.
A segment bisector passes through the midpoint of the segment. Particularly important is the perpendicular bisector of a segment, which, according to its name, meets the segment at right angles. The perpendicular bisector of a segment also has the property that each of its points is equidistant from the segment's endpoints.
An angle bisector divides the angle into two equal angles. An angle only has one bisector. Each point of an angle bisector is equidistant from the sides of the angle.
(Please add figures to this entry. Should ruler-and-compass constructions be included?)
Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Bisection."
Crosswords: Bisection |
| English words defined with "bisection": bisectional ♦ Cephalotomy. (references) |
| "Bisection" is generally used as a noun (singular) -- approximately 100.00% of the time. "Bisection" is used about 4 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) | 100% | 4 | 175,879 |
Source: compiled by the editor from several corpora; 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. |
| Expression | Frequency per Day |
bisection | 10 |
bisection penis | 4 |
| Source: compiled by the editor from various references; see credits. | |
| Language | Translations for "bisection"; alternative meanings/domain in parentheses. | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Albanian | ndarje me dysh. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Arabic | نصف (bisect, half, halve, one half, semi). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Bulgarian | разполовяване (dichotomy, halving). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Danish | indstilling med stregkorsets enkeltstreg (pointing by bisection). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Dutch | instellen op één verticale draad of streep (pointing by bisection). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Finnish | tähtäys yksittäisviivalla (pointing by bisection). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
French | bissection. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
German | halbierung (halving). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Greek | διχοτόμηση (bifurcation, dichotomy, intersection, partition), διατομή (control, cross section, cross-section, incision, intersection, leading, profile, section, segmentation, shape, transverse section). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Hebrew | חצי" (crossing, cutting, dividing into two). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Hungarian | kettéosztás. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Italian | bisezione. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Japanese Kanji | 二等分 , 二分 (halving), 平分 (dividing equally), 両断 . (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Japanese Katakana | にぶ" (halving), にとうぶ", りょう ", へいぶ" (dividing equally). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Manx | rheynn ayns daa ayrn (bisect), liehghey. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Pig Latin | isectionbay bisseção. (various references) împãrţire în douã. (various references) деление пополам. (various references) bisekcija. (various references) bisección, división en dos partes. (various references) tudelning (dividning into two), klyvning (cleavage, dichotomy, fission, fissure, nuclear fission, split). (various references) ikiye bölme. (various references) поділ навпіл. (various references) sự chia đôi (bipartition), sự cắt đôi. (various references) dwyraniad. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Derivations | |
Words beginning with "bisection": bisectional, bisectionally, bisections. (additional references) | |
| |
"Bisection" is suggested in spellcheckers for the following: bikethon. (additional references) | |
| Source: compiled by the editor, based on several corpora (additional references). | |
| Words rhyming with "bisection" (pronounced 'Bi*sec"tion'): Abacination, Abaction, Abalienation, Abarticulation, Abbreviation, Abdication, Abduction, Aberration, Abevacuation, Abirritation, Abjection, Abjudication, Abjuration, Ablactation, Ablaqueation, Ablation, Ablegation, Abligurition, Abnegation, Abnodation, Abolition, Abomination, Abortion, Abreaction, Abrenunciation, Abreption, Abrogation, Abruption, Absentation, Absolution, Absorbition, Absorption, Abstention, Abstraction, Absumption, Accentuation, Acceptation, Acceptilation, Acception, Acclimatation, Acclimation, Acclimatization, Accombination, Accommodation, Accreditation, Accrementition, Accretion, Accubation, Accusation, Acervation. (additional references) |
Scrabble® Enable2K-Verified Anagrams | |
| Words within the letters "b-c-e-i-i-n-o-s-t" | |
-2 letters: bionics, biontic, biotics, biotins, boniest, eosinic, incites, inosite, notices, section, stibine. | |
-3 letters: betons, binits, binocs, bionic, bionts, biotic, biotin, bisect, boites, centos, cestoi, cities, conies, contes, cosine, ibices, iciest, icones, incest, incise, incite, insect, ionics, ionise, nicest, niobic, noetic, notice, oscine, seniti, sobeit, tobies, tocsin, tonics. | |
-4 letters: bents, besot, beton, bices, bines, binit. | |
| Words containing the letters "b-c-e-i-i-n-o-s-t" | |
+1 letter: bijections, bisections. | |
+2 letters: bisectional, iceboatings, obscenities, obstinacies, xenobiotics. | |
+3 letters: bacteriocins, benedictions, bioscientist, biosynthetic, brecciations, bronchitises, fibronectins, nondiabetics, obstetrician. | |
+4 letters: antiobscenity, biconcavities, biconvexities, bioenergetics, biometricians, bioscientific, bioscientists, bisectionally, endosymbiotic, incombustible, incompatibles, obstetricians. | |
+5 letters: abortifacients, antimetabolics, bacterizations, beatifications, beneficiations, binocularities, bioluminescent, bromocriptines, bronchiectasis, compensability, connubialities, countabilities, incombustibles, incorruptibles, noncelebrities, nonjusticiable, nonobjectivism, nonobjectivist, recalibrations, recombinations, relubrications, republications, subcommunities. | |
| 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)42 69 73 65 63 74 69 6F 6E |
| 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)01000010 01101001 01110011 01100101 01100011 01110100 01101001 01101111 01101110 |
HTML Code (1990) (references)B i s e c t i o n |
ISO 10646 (1991-1993) (references)0042 0069 0073 0065 0063 0074 0069 006F 006E |
| British Sign Language (Fingerspelling, BSL; 1992, British Deaf Association Dictionary of British Sign Language) (references)
|
Encryption (beginner's substitution cypher): (references)367585716986758180 |
| 1. Definition 2. Crosswords 3. Usage Frequency 4. Expressions: Internet | 5. Translations: Modern 6. Derivations 7. Rhymes 8. Anagrams | 9. Orthography 10. Bibliography |
Copyright © Philip M. Parker, INSEAD. Terms of Use.
