By Clifford Cumming (Eds.)

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The "set of conditions" is deemed to be altered if the span of the compass is changed to some other value. The libraries of the world could hardly contain tabulations that would be necessary to permit reasonably accurate interpolations of circumferences v e r sus radii of all circle sizes within the range of man's interest. We are apt to forget the genius of the unnamed ancient who discovered that all circles have the same shape and that he could choose "radius" instead of "inches" as a length unit and state that the circumference, in units of radius, is always equal to 2π.

33 M a r s h a l l , R. R . , 34 U r e y , H . C , J. Icarus, Icarus, L . , and Hoy l e , \ , 13, ( 1 9 6 2 ) . 1, 95 ( 1 9 6 2 ) . Geophys. R e s . , 65, 358 ( 1 9 6 0 ) . 35 C f . Baldwin, J. Ε . , Monthly N o t i c e s R o y . Astron. S o c , 122, 513 ( 1 9 6 1 ) . 36 Gold, T . , (private communication). 37 Salisbury, J. W . , A s t r o p h y s . , 134, 126 (1961). 38 Watson, Κ . , M u r r a y , Β . , and B r o w n , H . S . , J. G e o p h y s . R e s . , 66, 1958, 3033 ( 1 9 6 1 ) . 29 Fig.

Among the craters formed in the course of the author's experiments, one was carefully sectioned and measured, and found virtually identical in shape to the proportions of Kepler. To illustrate the use of the dimensionless parameters of crater formation, the dynamic inputs of this experiment will be used in estimating the strengths of the lunar rock. The data in conventional and dimensioniere forms are given in Table 4. The value of h/d for this model crater is 0. 094, and Kepler was chosen as the most representative crater both from the dimensions by Wilkins (17) and from Ebert's typical crater dimensions.

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