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Cycloides

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Journal Article
Journal: Geology
Published: 01 November 1987
Geology (1987) 15 (11): 1006–1009.
...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...
Journal Article
Journal: Geology
Published: 01 May 1988
Geology (1988) 16 (5): 472–474.
Journal Article
Journal: Geology
Published: 01 May 1988
Geology (1988) 16 (5): 474.
Journal Article
Published: 01 March 2003
Journal of Paleontology (2003) 77 (2): 386–388.
... shields. Referring to the Maastrichtian horizon. Since the description of the first cycloid from the Carboniferous of Yorkshire, England ( Phillips, 1835 ) the Cycloidea have been placed in many different groups within the Arthropoda. These include agnostid trilobites ( Phillips, 1835...
FIGURES
Journal Article
Published: 01 January 2007
Journal of Paleontology (2007) 81 (1): 213–215.
...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...
FIGURES
Image
The raypath in a medium where the velocity increases linearly with one-way ...
Published: 14 September 2010
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
Journal Article
Journal: The Leading Edge
Published: 01 October 2006
The Leading Edge (2006) 25 (10): 1252–1255.
... indirectly struck by the remarkable fact that all bodies gliding along a cycloid will descend from any point in precisely the same time.” The Latinized word for same time is tautochrone and, in mathematics, the tautochrone problem consists of finding the curve along which a bead placed anywhere...
FIGURES | View All (6)
Image
Isaac Newton solved the brachistochrone problem one day in 1697. The soluti...
Published: 01 July 2005
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.
Image
Isaac Newton solved the brachistochrone problem one day in 1697. The soluti...
Published: 01 May 2005
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 travel time.
Journal Article
Published: 15 May 2009
Geological Magazine (2009) 146 (5): 625–637.
... 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. stratigraphic precision graphic correlation Cenomanian–Turonian boundary Coniacian–Santonian...
Journal Article
Journal: PALAIOS
Published: 01 May 2008
PALAIOS (2008) 23 (5): 289–297.
... 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...
FIGURES | View All (7)
Journal Article
Published: 01 October 1969
Canadian Journal of Earth Sciences (1969) 6 (5): 1185–1190.
...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...
Journal Article
Published: 01 January 1951
Bulletin de la Société Géologique de France (1951) S6-I (1-3): 23–30.
.... 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...
Image
Malyi Yaloman section.  A , Deformation structures in the top of silts and ...
Published: 01 September 2015
Fig. 9. Malyi Yaloman section. A , Deformation structures in the top of silts and sands in the lower third of bed 2; B , seismic convolute lamination level represented by cycloid folds in sands of the upper third bed 2; C – E , its fragments; F , frontal part of the mudlfow (bed 3
Journal Article
Journal: Geophysics
Published: 14 September 2010
Geophysics (2010) 75 (5): 75A121–75A128.
...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...
FIGURES | View All (13)
Journal Article
Journal: The Leading Edge
Published: 01 July 2005
The Leading Edge (2005) 24 (7): 712–713.
...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. ...
FIGURES
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(a) Conical spiral structure adopted in the solid solution Cr 2 O 3 -Fe 2 O...
Published: 01 January 2006
lines indicate the planes of ferromagnetically coupled spins (cf. dashed lines in Fig. 7b ). (b) Conical cycloid structure adopted in the solid solution Cr 2 O 3 -Fe 2 O 3 for compositions > 20% Fe 2 O 3 . The cone axes are oriented perpendicular to the z axis (equivalent to the orientation
Journal Article
Published: 10 November 2015
Bulletin of the Seismological Society of America (2015) 105 (6): 3015–3023.
... detections (e.g., Lorenz and Jackson, 2015 ). It should be noted that several of the pressure time series have a double-dip 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...
FIGURES | View All (6)
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Schematic illustrates the methodology used to calculate uplift. (A) General...
Published: 29 October 2020
) and paleobathymetric ( B ) corrections; blue—sea-level correction. (C) Fossil assemblage used to constrain age and paleoenvironment of Prairie Canyon Member of the Mancos Shale (see star in panel A) from Paleobiology Database: 1— Prognathodon [mosasaur], 2— Platyceramus cycloides [bivalve], 3— Baculites haresi
Journal Article
Journal: The Leading Edge
Published: 01 November 2006
The Leading Edge (2006) 25 (11): 1366–1369.
... 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...