...Vincent S. Cronin Abstract The trajectory of a point on one plate as observed from another plate is generally a complex curve and not a small circle around a single axis of relative motion, as is commonly assumed. The shape of the relative-motion path is given the general name “spherical cycloid...

... Member (IVf4), late Maastrichtian, Belemnitella junior Zone, Cretaceous. K 1398: length = 4.8 mm; width = 4.2 mm K 1399: length = 3.6 mm; width = 3.0 mm 12 06 2002 The Paleontological Society 2003 Since the description of the first cycloid from the Carboniferous...

...GÜNTER SCHWEIGERT 13 09 2005 The Paleontological Society 2007 The cycloids represent an enigmatic arthropod group of probably crustacean affinity, occurring mostly in the younger Paleozoic, from the early Carboniferous up to the Late Triassic ( Schram et al., 1997...

.... Figure 1. Huygens then developed the theory of evolutes. The evolute of a curve is the locus of the centers of the osculating circles of the curve. In Moby Dick (1851), Herman Melville wrote: “I was first indirectly struck by the remarkable fact that all bodies gliding along a cycloid...

... as driftwood and bedload log ground as well as re-worked log ground from the basal part of the Ukra Hill Member. These Teredolite bearing horizons are underlain by coarse grained cross bedded sediment with monodominant Psilonichnus tubiformis , while abundant Gyrolithes cycloides along with Rhizocorallium...

... the first and last occurrences of Platyceramus undulatoplicatus , and the first occurrences of Platyceramus cycloides and Lucianorhabdus cayeuxii have been identified as potentially reliable bioevents. This has the undoubted advantage that magnetic reversals are global in extent and isochronous...

... distributions. Relative abundance data, in conjunction with chi-square test results and rank-order analysis, show that size, shape, abrasion, and taxonomic compositions vary significantly between assemblages. The fine-grained assemblage is dominated by tabular, low-density elements, such as cycloid scales...

...D. E. McAllister; C. R. Harington Abstract Eleven cycloid fish scales or scale fragments with scalloped anterior margins were obtained from a Pleistocene deposit in the Old Crow area, Yukon Territory. Shells from the same horizon as the scales were radiocarbon dated at 32 400 ± 770 yr B.P...

.... cycloides (middle Santonian). For each of these, synonymous forms described in the literature on north Africa, particularly Algeria, are listed. GeoRef, Copyright 2004, American Geological Institute. Reference includes data from Bibliography and Index of Geology Exclusive of North America, Geological...

...Figure 8. The raypath in a medium where the velocity increases linearly with one-way vertical traveltime is a cycloid generated by a circle rolling on the level of vanishing velocity as guideline. The centers of curvature lie on a cycloid generated by a circle of the same diameter rolling...

...Figure 1. Isaac Newton solved the brachistochrone problem one day in 1697. The solution is a cycloid curve which has the property that a bead traveling from rest between any two points under the influence of gravity will have minimum traveltime. ...

... structure; this may suggest that the dust devil made a slightly cycloidal path with multiple close approaches or that it had a multiple-core structure. This is, however, a second-order effect. The encounter was in the evening, with the sun to the west. The drop in sunlight requires that the optical...

... Eruditorum of May, 1697, pp. 206–211(Opera omnia, I, 187–193) under a title that can be translated as “The curvature of a ray in nonuniform media.” He showed that the required curve was the well known cycloid (tautochrone of Huygens). His approach uses Fermat's least time principle of light optics as analog...