CONJUGATE AXIS Meaning and
Definition
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The term "conjugate axis" is a concept predominantly used in mathematics, specifically in geometry and algebra. In the field of geometry, the conjugate axis refers to the line segment that runs through the center of an ellipse or a hyperbola, and is perpendicular to the major axis. The conjugate axis is of particular significance in these shapes as it determines the properties and characteristics of the figure.
In the case of an ellipse, the conjugate axis influences the symmetry and dimensions of the figure. It is parallel to the minor axis, and its length is crucial in determining the eccentricity and flattening of the ellipse. Similarly, in a hyperbola, the conjugate axis is the line segment that connects two vertices, and it is perpendicular to the transverse axis. The conjugate axis helps determine the properties of the hyperbola, such as its asymptotic behavior and the shape of its branches.
In algebra, the term "conjugate axis" can also be applied to complex numbers. In this context, the conjugate axis is the imaginary part of the complex number, which allows for the complex number to be represented as a sum of its real and imaginary components. By manipulating the conjugate axis, various mathematical operations such as addition, subtraction, multiplication, and division can be performed on complex numbers.
Overall, the concept of the conjugate axis is crucial in both geometry and algebra, providing insights into the properties and behaviors of ellipses, hyperbolas, and complex numbers.
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A practical medical dictionary. By Stedman, Thomas Lathrop. Published 1920.
Common Misspellings for CONJUGATE AXIS
- conjugate axiq
- conjugate axir
- conjugateaxeis
- c onjugate axis
- co njugate axis
- con jugate axis
- conj ugate axis
- conju gate axis
- conjug ate axis
- conjuga te axis
- conjugat e axis
- conjugate a xis
- conjugate ax is
- conjugate axi s
Etymology of CONJUGATE AXIS
The word "conjugate" is derived from the Latin word "conjugare", which means "to join together". It is formed by combining the prefix "con-" meaning "together" and the verb "jugare" meaning "to yoke" or "to join". In mathematics, "conjugate" refers to elements that are paired or interconnected in some way.
The word "axis" has its origins in the Greek word "axis", meaning "axle" or "pivot". In mathematics, an axis is a straight line around which a geometric shape rotates or is symmetrical.
Therefore, the term "conjugate axis" is a combination of "conjugate" and "axis". In the context of mathematics, it refers to two axes that are interconnected or joined together in some way, often used in the context of ellipses and hyperbolas.
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