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21st CENTURY

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laborforce, in terms of scientists and kindred professionals<br />

per hundred members of the labor force employed as operatives,<br />

and in terms of capital-goods producing to household-goods<br />

producing operatives; and (6) the general level<br />

and rate of advancement of technology in practice. These<br />

six factors define the true basis for measuring individual<br />

activity levels within the city as a whole.<br />

This is also affected in obvious ways by the second additional<br />

set of factors, the demographic factors centered<br />

around the birth rate per female of child-bearing age-intervals<br />

and life expectancies.<br />

All three sets of factors, taken together as part of a single<br />

function, are the primary determinants of the city's proper<br />

choice of maximum population levels.<br />

Source: ladislao Reti and Bern Dibner, Leonardo da Vinci—Technologist<br />

(Norwalk, Conn.: Bumdy Library, 1969), p. 69. (b)<br />

30 November-December 1988 21 st <strong>CENTURY</strong><br />

In all these considerations, the irreducible quantum of<br />

action is the activity scale required for the average individual.<br />

The individual person's level of activity, per unit of<br />

population density, becomes the definition of scale, with<br />

respect to which all other measurements are defined.<br />

A good design for a beautiful city is one which will be<br />

durable through a thousand years of technological progress.<br />

This presumes that the city is designed such that it<br />

easily adapts to the effects of technological progress.<br />

It adapts so, in terms of increasing of the energy-density<br />

per per-capita unit of population density. It adapts so, in<br />

terms of raising the level of effective energy-flux density<br />

per square centimeter cross section of target area of work.<br />

It adapts so, to related increases in mobility of persons. It<br />

Figure 2<br />

RENAISSANCE STUDIES OF THE<br />

PRINCIPLE OF LEAST ACTION<br />

Leonardo studied the principle of least action in the human body and in animals<br />

in order to design machines that would ha ve maximum work efficiency. In these<br />

sketches (a), he shows the estimated human muscular effort of the arm, with the<br />

help of a "dynamometer." This device measures force, representing the lifting<br />

capacity of the group of muscles under scrutiny.<br />

Albrecht Diirer's 1518 pen and ink study of motion (b) shows a young man, a<br />

journeyman joiner, leaning forward as he works with a large drill.

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