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Quote: the resistance of two cylinders to breakage has the same ratio as the cube of their diameters; why machines and trees can not be immense
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Topic:
the effect of scale
Quotation Skeleton
I wish now to make the problem still … [PROPOSITION IX] Given the cylinder AC … and given any length DE, to find the … [weight times distance] against its resistance shall have the same ratio as that … [resistance]. … [p. 169] then, by equidistance of ratios, the moment … [DE] … the cube of [DE's diameter] to the cube of … [AC's diameter] … You now see how, from the things demonstrated … increasing machines to immense size. … nor could nature make trees of immeasurable size, … Google-1 Google-2
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Topic: the effect of scale (15 items)