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Meaning of "radical axis" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF RADICAL AXIS

radical axis play
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GRAMMATICAL CATEGORY OF RADICAL AXIS

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Radical axis 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 RADICAL AXIS MEAN IN ENGLISH?

Radical axis

The radical axis of two circles is the locus of points at which tangents drawn to both circles have the same length. For any point P on the radical axis, there is a unique circle centered on P that intersects both circles at right angles; conversely, the center of any circle that cuts both circles orthogonally must lie on the radical axis. In technical language, each point P on the radical axis has the same power with respect to both circles where r1 and r2 are the radii of the two circles, d1 and d2 are distances from P to the centers of the two circles, and R is the radius of the unique orthogonal circle centered on P. The radical axis is always a straight line and always perpendicular to the line connecting the centers of the circles, albeit closer to the circumference of the larger circle. If the circles intersect, the radical axis is the line passing through the intersection points; similarly, if the circles are tangent, the radical axis is simply the common tangent.

Definition of radical axis in the English dictionary

The definition of radical axis in the dictionary is a line from any point of which tangents to two given circles are of equal length. It is the line joining the points of intersection of two circles.

WORDS THAT BEGIN LIKE RADICAL AXIS

radical
radical sign
radicalise
radicalism
radicalistic
radicalistically
radicality
radicalization
radicalize
radically
radicalness
radicand
radicant
radicate
radication
radicchio
radicel
radicellose
radices
radicicolous

WORDS THAT END LIKE RADICAL AXIS

anaphylaxis
axis
chemoprophylaxis
chemotaxis
epistaxis
major axis
minor axis
neutral axis
optic axis
phototaxis
polar axis
praxis
principal axis
prophylaxis
stereotaxis
tachyphylaxis
taxis
x-axis
y-axis
z-axis

Synonyms and antonyms of radical axis in the English dictionary of synonyms

SYNONYMS

Translation of «radical axis» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF RADICAL AXIS

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

Translator English - Chinese

激进的轴
1,325 millions of speakers

Translator English - Spanish

eje radical
570 millions of speakers

English

radical axis
510 millions of speakers

Translator English - Hindi

कट्टरपंथी धुरी
380 millions of speakers
ar

Translator English - Arabic

المحور الراديكالي
280 millions of speakers

Translator English - Russian

радикальная ось
278 millions of speakers

Translator English - Portuguese

eixo radical
270 millions of speakers

Translator English - Bengali

মৌলিক অক্ষ
260 millions of speakers

Translator English - French

axe radical
220 millions of speakers

Translator English - Malay

Paksi radikal
190 millions of speakers

Translator English - German

radikale Achse
180 millions of speakers

Translator English - Japanese

根軸
130 millions of speakers

Translator English - Korean

급진적 인 축
85 millions of speakers

Translator English - Javanese

Sumbu radikal
85 millions of speakers
vi

Translator English - Vietnamese

trục triệt để
80 millions of speakers

Translator English - Tamil

தீவிர அச்சு
75 millions of speakers

Translator English - Marathi

मूलगामी अक्ष
75 millions of speakers

Translator English - Turkish

Radikal eksen
70 millions of speakers

Translator English - Italian

asse radicale
65 millions of speakers

Translator English - Polish

oś radykalne
50 millions of speakers

Translator English - Ukrainian

радикальна вісь
40 millions of speakers

Translator English - Romanian

axa radical
30 millions of speakers
el

Translator English - Greek

ριζικό άξονα
15 millions of speakers
af

Translator English - Afrikaans

radikale as
14 millions of speakers
sv

Translator English - Swedish

radikal axel
10 millions of speakers
no

Translator English - Norwegian

radikal akse
5 millions of speakers

Trends of use of radical axis

TRENDS

TENDENCIES OF USE OF THE TERM «RADICAL AXIS»

The term «radical axis» is used very little and occupies the 183.127 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Rarely used
14
/100
The map shown above gives the frequency of use of the term «radical axis» in the different countries.
Principal search tendencies and common uses of radical axis
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «radical axis».

FREQUENCY OF USE OF THE TERM «RADICAL AXIS» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «radical axis» during the past 500 years. Its implementation is based on analysing how often the term «radical axis» 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 radical axis

EXAMPLES

10 ENGLISH BOOKS RELATING TO «RADICAL AXIS»

Discover the use of radical axis in the following bibliographical selection. Books relating to radical axis and brief extracts from same to provide context of its use in English literature.
1
A Course in Pure Mathematics
If the circles intersect in real points A and B, these points are on the radical axis since A and B have zero powers with respect to both circles. In this case the radical axis is AB, the common chord of the circles. If the circles touch, the radical axis ...
Margaret M. Gow, 1960
2
A Texbook Of Two Dimensional Geometry
RADICAL AXIS OF TWO CIRCLES Definition. The locus of a point tangents from which to two circles are equal in length, is called the radical axis of these circles. To find the radical axis of the circles given by x2 + y2 + 2g]x + 2/,y + c, = 0 and ...
Harbans Lal, Sat Pal, 1996
3
The Pearson Complete Guide To The Aieee, 4/E
RADICAL AXIS The radical axis of two circles is the locus of a point which moves in such a way that the lengths of the tangents drawn from it to the two circles are equal. The equation of radical axis of two circles S = x2 + y2 + 2gxx + 2fxy + c, ...
Khattar Dinesh, 2010
4
Objective Mathematics For Iit Entrance Examinations
C,C2= d Cos 9 _ 'i r, + r> - d- 2r,r2 Radical Axis Defination. The radical axis of the two circles is the locus of a point which moves in such a way that the lengths of tangents drawn from it to the two circles are equal. Suppose S, = x2 + y2 + 2gtx +  ...
B. S. Vatssa, 2002
5
The Pearson Guide To Mathematics For The Iit-Jee, 3/E
tt-xl)(x-x2) + (y-yl)(y-y2)+ A Radical Axis x y 1 *, 1| = o. (where A is a parameter) The radical axis of two circles is the locus of a point which moves such that the lengths of the tangents drawn from it to the two circles are equal. P Radical axis ...
Khattar Dinesh, 2010
6
Solutions of the Exercises in Tyler's Euclid
What is the radical axis of two circles which touch each other? In last Exercise let one of the circles be moved so that pts. B, C approach each other until the common secant becomes the common tangent. .-. the common tangent of two © s , ...
7
College Geometry
Prove that the radical axis of two circles having a common tangent bisects the segment on the common tangent determined by the points of contact. 5. Justify the following construction of the radical axis of two nonconcentric nonintersecting  ...
Howard Whitley Eves, 1995
8
Text Book Of Circles And Parabola
which is the equation of the radical axis. If we denote S = 0 and S' = 0 as the equation of two circles, then the equation of the radical axis can be written as S - S' = 0. Since S - S' = 0 represents a curve passing through the intersection of S = 0 ...
A.K. Sharma, 2005
9
Mathematical Olympiad Challenges
This line is called the radical axis. In this case, we need to work with directed segments, so the points on the locus are either simultaneously inside or simultaneously outside the circles. Let us prove that indeed the locus is a line. Denote by O1 ...
Titu Andreescu, Razvan Gelca, 2008
10
The Pearson Guide To Objective Mathematics For Engineering ...
RADICAL AXIS The radical axis of two circles is the locus of a point which moves in such a way that the lengths of the tangents drawn from it to the two circles are equal. The equation of radical axis of two circles S = x2 + y2 + 2g,x + 2fxy + c, ...
Sharma/khattar, 2010

10 NEWS ITEMS WHICH INCLUDE THE TERM «RADICAL AXIS»

Find out what the national and international press are talking about and how the term radical axis is used in the context of the following news items.
1
What does the 'Facebook spy' reveal about Israel's hand in Syria war?
The radical axis supporting Assad is making clear use of that for its own purposes by accusing Israel of cooperating with the most extreme Sunni elements near ... «Haaretz, Mar 15»
2
The next PM's multiple security challenges
The most serious military threat facing Israel is from the Shiite radical axis led by Iran. In addition to the Iranian military nuclear program, the more immediate and ... «i24news, Mar 15»
3
Apple Granted a Second Radical Axis Based Multidimensional …
In 2013 Apple acquired 18 patents from Canada-based Maya-Systems, Inc. related to "innovative axis-based user interface technology." Apple was granted their ... «Patently Apple, Feb 15»
4
Realities of war-torn Arab world seen in northern challenges, says …
“The radical axis of Iran, Syria and Hezbollah, which operated for many years to harm the State of Israel, may be joined by the threat of terror organizations that ... «Jerusalem Post, Nov 14»
5
Former Envoy Dennis Ross: US Must Stand Against Islamists, Both …
... dangerous and radical axis of Iran, Assad, and Hezbollah.” While Ross puts both the Iranian axis and the Muslim Brotherhood group into the same category, ... «TheTower.org, Sep 14»
6
Looking at Comedy Central's Weird and Hard-to-Categorize One …
It was animated and produced by Radical Axis, the studio behind Aqua Teen Hunger Force, Squidbillies, and Sealab 2021. It came from the minds and mouths ... «Splitsider, Sep 14»
7
Hamas tactics inflict heavy casualties on Israeli troops
A senior Israeli intelligence official briefing foreign reporters yesterday said “radical axis” countries - Iran, Syria or Hezbollah guerrillas in Lebanon - had ... «Gulf Times, Jul 14»
8
IDF chief: No matter who wins in Syria, Israel loses
“If [Syrian President Bashar] Assad survives he is beholden to the radical axis, to Iran and Hezbollah which bolster him,” he elaborated. “If Assad falls, he will be ... «The Times of Israel, Jan 14»
9
Middle East security in 2014 | Ehud Barak
As a result of American uncertainty, the radical axis of Iran, Syria, and Hezbollah feels emboldened, and will certainly try to leverage its achievements in the year ... «Livemint, Dec 13»
10
Egypt crisis pushes an unlikely axis: Israel-Saudi
For more than three decades since the signing of the Camp David Accords, Israel and Egypt have been tacit allies against the radical axis in the region which ... «Jewish Chronicle, Aug 13»

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