How Do You Spell SUBTANGENT?

Pronunciation: [sˈʌbtand͡ʒənt] (IPA)

Subtangent is a mathematical term that refers to the distance between a point on a curve and the x-axis. The correct spelling of this word is [sʌbtændʒənt], with the emphasis on the second syllable. The 'sub' prefix means 'beneath' or 'below', while 'tangent' refers to a straight line that touches a curve at a single point, forming a right angle with the x-axis. Therefore, the subtraction of the subtangent from the length of the tangent results in the height of a triangle formed by the curve and x-axis.

SUBTANGENT Meaning and Definition

1. Subtangent is a term commonly used in the field of calculus to describe a specific geometric property of a curve or function, particularly in relation to the graph of a function. It refers to a line segment that touches the curve at a single point and is parallel to the tangent of the curve at that particular point.

   More precisely, the subtangent is defined as the perpendicular distance between the x-axis and the tangent line at a given point on the curve. It represents the slope of the tangent line at that point and provides information about the rate of change of the function at that particular point.

   In mathematical terms, the subtangent can be calculated by finding the difference in y-coordinates between the point of tangency and the point where the tangent line intersects the x-axis. This measurement is made along a line that is perpendicular to the x-axis.

   The subtangent is an important concept in calculus as it helps in determining the instantaneous rate of change of a function, providing insights into the behavior of the curve at a specific point. It is used in various applications, such as optimization problems, finding points of inflection, and analyzing the concavity or convexity of a curve. By understanding and calculating the subtangent, mathematicians and scientists can better comprehend the behavior and characteristics of functions, enabling them to make more accurate predictions and solve complex mathematical problems.

2. In the conic sections, a straight line drawn from a tangent cutting the curve, and intercepted by a straight line drawn from the point of contact of the tangent.

   Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.

Common Misspellings for SUBTANGENT

• aubtangent
• zubtangent
• xubtangent
• dubtangent
• eubtangent
• wubtangent
• sybtangent
• shbtangent
• sjbtangent
• sibtangent
• s8btangent
• s7btangent
• suvtangent
• suntangent
• suhtangent
• sugtangent
• subrangent
• subfangent
• subgangent
• subyangent

Etymology of SUBTANGENT

The word "subtangent" is derived from the combination of two Latin words: "sub" meaning "under" or "below", and "tangens" meaning "touching". In mathematics, the term "subtangent" refers to a line segment drawn from a point on the curve of a function to the x-axis, making a right angle with the tangent line at that point. The "sub-" prefix signifies the line segment being below or under the tangent line.