| A planar map projection in which the point of tangency with the globe is at the north or south pole. |
| From the usual tangency can be read the consumption choices and present saving or dissaving. |
| Finishes are judged in terms of the cycle front-wheel tyre at the point of tangency with the vertical plane rising above the finish line. |
| If in addition the Mobius transformations are required to respect the points of tangency, the limit set becomes a simple closed curve. |
| By joining all the points of tangency we construct a line ABC, which is an output expansion path. |
| It is not certain, for instance, whether Euclid meant that the circles could not cut at some other point than that of tangency. |
