Why is it called tangent?
The word tangent comes from Latin tangens meaning “touching”, since the line touches the circle of unit radius, whereas secant stems from Latin secans—”cutting”—since the line cuts the circle.
What is tangent of a line?
In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that “just touches” the curve at that point. Leibniz defined it as the line through a pair of infinitely close points on the curve.
What is a tangent point?
tangent, in geometry, the tangent line to a curve at a point is that straight line that best approximates (or “clings to”) the curve near that point. It may be considered the limiting position of straight lines passing through the given point and a nearby point of the curve as the second point approaches the first.
Who introduced tangents and secants?
AP Class 10 Maths Chapter 9 Tangents and Secants The word tangent was introduced by Danish mathematician Thomas Fineke in 1583 and it means to touch in Latin.
Who named tangent?
Although the concept of tangent was known much longer (for certain in Arabic/Islamic mathematics, first formal use by Abū al-Wafāʾ who lived from 940 to 998), the word “tangens” was at first introduced by Thomas Fincke in his book “Geometria rotundi” from 1583.
What is tangent circle?
A line that touches the circle at a single point is known as a tangent to a circle. The point where tangent meets the circle is called point of tangency. The tangent is perpendicular to the radius of the circle, with which it intersects.
What is tangent plane?
Definition of tangent plane : the plane through a point of a surface that contains the tangent lines to all the curves on the surface through the same point.
Which lines are secants?
A secant line is a line that intersects a circle at two points. Every secant line, therefore, contains a chord of the circle it intersects.
How many secants can be drawn to a circle?
infinite number
How many Secants Can a Circle Have? There can be an infinite number of secants drawn to a circle. Every secant intersects the circle at two points.
Who invented zero Indian?
Brahmagupta
“Zero and its operation are first defined by [Hindu astronomer and mathematician] Brahmagupta in 628,” said Gobets. He developed a symbol for zero: a dot underneath numbers.
What is tan triangle?
In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A). In a formula, it is written simply as ‘tan’. t a n θ = O A.
What is tangent graph?
The tan graph is a visual representation of the tangent function for a given range of angles. The horizontal axis of a trigonometric graph represents the angle, usually written as θ, and the y-axis is the tangent function of that angle.
What is equation of tangent plane?
The equation of the tangent plane to the surface z=f(x,y) at the point (a,b,f(a,b)) is. ∂f∂x(a,b)(x−a)+∂f∂y(a,b)(y−b)−z+f(a,b)=0.