TANGENT CIRCLE Meaning and
Definition
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A tangent circle is a geometric concept in which a circle touches a straight line or another circle at only one point, without intersecting it. This point of contact is called the point of tangency. The tangent circle can either be internally or externally tangent depending on its position in relation to the line or circle.
When a circle is internally tangent to another circle, it lies within the other circle and the point of tangency occurs on the inside of the larger circle. Conversely, in the case of an external tangent circle, it lies outside the other circle with the point of tangency occurring on the outside of the larger circle.
The concept of tangent circles is widely used in various fields of mathematics, such as geometry, trigonometry, and calculus. It plays a crucial role in solving geometric problems, particularly those involving the properties and relationships between circles, lines, and angles.
Tangent circles exhibit several significant properties and properties. For example, the line joining the centers of two tangent circles is perpendicular to the common tangent at the point of tangency. Additionally, the radii of two tangent circles are parallel to each other, implying that their corresponding chord lengths are equal.
Overall, understanding the concept of tangent circles is essential for analyzing and solving complex geometric problems involving tangency, circles, and intersecting lines.
Common Misspellings for TANGENT CIRCLE
- rangent circle
- fangent circle
- gangent circle
- yangent circle
- 6angent circle
- 5angent circle
- tzngent circle
- tsngent circle
- twngent circle
- tqngent circle
- tabgent circle
- tamgent circle
- tajgent circle
- tahgent circle
- tanfent circle
- tanvent circle
- tanbent circle
- tanhent circle
- tanyent circle
- tantent circle
Etymology of TANGENT CIRCLE
The etymology of the word "tangent" can be traced back to the Latin word "tangens", which is the present participle form of the verb "tangere" meaning "to touch". In mathematics, a tangent is a line that touches a curve or a circle at exactly one point, without intersecting it.
The word "circle" comes from the Latin word "circulus", which means "a circular figure". It is derived from the Greek word "kirkos", which originally referred to a circular or curved object.
Therefore, the term "tangent circle" combines the Latin word "tangens" (touching) with the Latin word "circulus" (circle) to describe a circle that touches another curve or circle at exactly one point.
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