Titlebook: Swinging and Rolling; Unveiling Galileo‘s Jochen Büttner Book 2019 Springer Nature B.V. 2019 Broken Chord.Galileo.Accelerated motion.Incli

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Jochen Büttner is the relationship that exists between silicic acid and the life of the plant.” However, Sachs concluded that Si was insignificant for the nutritional process of maize when he found that water-cultured maize which contained 0.3% Si did not show any abnormality in growth compared to maize containin

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Jochen Büttnerrous and non-porous crystalline materials including silica-based zeolite materials. As well as crystalline silica and silicates, an extremely diverse range of amorphous materials exist, such as disordered precipitates, gels, glasses and shaped objects (spheres, screws,hollow tubes etc.; Stöer et al.

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nd indicates that they have evolved robust biochemical and cellular processes to maintain growth under these various conditions. Nevertheless, almost all diatoms show a strict dependence on silica for growth, which suggests that this metabolite occupies a central position in diatom metabolism.

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Squaring the Pendulum’s Arc: Motion Along Broken Chordsment that motion along a broken chord takes less time than motion along a single chord spanning the same upright arc subtending an angle of 90 degrees or less, a proof he mentioned in a letter to Guidobaldo del Monte in 1602. Based on manuscript evidence, Galileo’s extensive work on the problem is i

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Swinging and Rolling Revisited: Motion Along Broken Chords and the Pendulum Plane Experimente pendulum as Galileo would have expected but differed from it by about 20%. Galileo’s considerations had, moreover, yielded strong indications that this difference would not vanish if polygonal paths composed of an even higher number of sides were considered. The difference finds its explanation in

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Accumulating Insights: The Problem of Motion Along Broken Chords Driving Conceptual Developmention of spacial and temporal aspects of motion in just one single diagram. In this period Galileo, in particular, scrutinized the especially challenging problem of finding the geometrical configuration under which the time of motion along a path allowed to vary in a geometrically defined manner becam

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Toward a Foundation: The Ex Mechanicis Proof of the Law of Chordsle uniform, it is thus shown that the argument was constructed only after he had come to accept that falling motion was naturally accelerated. It is, moreover, demonstrated that Galileo was already aware of the law of chords when he first constructed a dynamical argument in support of it. The new pr

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