54 Lectures on Scientific Subjects
in the same plane by the coordinates ʃ and φ as indicated in
the figure. These are the usual line coordinates useful for
our purposes.
2. ONE-PARAMETER FAMILIES OF STRAIGHT LINES
Let us imagine now that a family of straight lines be
drawn which depends on a single parameter. We consider
first the following case: the straight lines envelop a regular
convex arc C with continuous curvature l∕p, along which
the points of tangency of the lines are distributed with an
assigned frequency/(ʃ), where ʃ designates arc length along
the curve C (see figure 3).
c

Fig. 3
This means that to get an approximation to the limiting
form of drawing we may distribute the tangent lines along
the curve C at points /(ʃ) ds apart, (ds, a small fixed in-
crement of arc). It is obvious that the function /(ʃ) is a
kind of distribution function, specifying the distribution of
the given one-parameter family of straight lines.
More intriguing information
1. CHANGING PRICES, CHANGING CIGARETTE CONSUMPTION2. Has Competition in the Japanese Banking Sector Improved?
3. Dual Inflation Under the Currency Board: The Challenges of Bulgarian EU Accession
4. EXECUTIVE SUMMARY
5. Federal Tax-Transfer Policy and Intergovernmental Pre-Commitment
6. Visual Artists Between Cultural Demand and Economic Subsistence. Empirical Findings From Berlin.
7. BUSINESS SUCCESS: WHAT FACTORS REALLY MATTER?
8. Education and Development: The Issues and the Evidence
9. Mortality study of 18 000 patients treated with omeprazole
10. An Interview with Thomas J. Sargent