Did have a bit of a Monty Python moment in my Taxation tutorial today, tutor bloke was off at a bit of a tangent as per normal talking about careers in tax and regaled us with a tale about one of his mates who works for a big tax firm.
To understand this notion fully requires understanding tangent spaces, computing with vector fields, and working with bracket products of vector fields.
Many of them feature drawings and problems that concern tangent circles.
This highly successful subject deals with rates of change at instants of time by calculating the gradient of the tangent to a curve.
Look at that, we started with the opening credits and I went off on a tangent .
Let P be a point outside a circle, let PA be a tangent line, and let PBC be a secant line.
Construct two tangent circles 1 and 2 and the line L through their centers.
And yes you can have a tangent of a tangent , although it requires the first one to be a curve in the plane perpendicular to the original circle [although some people may argue about the maths of this].
This was estimated by taking the tangent of each point of the curve.
The maximum range velocity is derived graphically by drawing a tangent from the origin to the U-shaped power curve for flight.