MATH 140 Lecture Notes - Lecture 6: Macedonian Denar, Central Angle, The Tangent

• School: McGill University
• Department: Mathematics & Statistics (Sci)
• Course: MATH 140
• Professor: Ewa Duma

Document Summary

In this section we see how limits arise when we attempt to nd the tangent to a curve or the velocity of an object. The word tangent is derived from the latin word tangens, which means touching. thus. A tangent to a curve is a line that touches the curve. A tangent line should have the a tangent to a curve is a line that touches the curve. In other words, a tangent line should have the same direction as the curve at the point of contact. For a circle we could simply follow euclid and say that a tangent is a line that intersects. In most problems, you are given an equation and a point to nd the equation of the the circle once and only once as in figure 1(a). Typically, this is not enough information to solve the problem because you need tion is inadequate.