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346:
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29:
49:
249:. Each two circles in the pencil are concentric, and have different radii. Every point in the plane, except for the shared center, belongs to exactly one of the circles in the pencil. Every two disjoint circles, and every hyperbolic pencil of circles, may be transformed into a set of concentric circles by a
137:, two circles that are concentric necessarily have different radii from each other. However, circles in three-dimensional space may be concentric, and have the same radius as each other, but nevertheless be different circles. For example, two different
301:, a type of mechanic sights commonly found on target rifles. They usually feature a large disk with a small-diameter hole near the shooter's eye, and a front globe sight (a circle contained inside another circle, called
326:
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is a type of electrical cable in which the combined neutral and earth core completely surrounds the live core(s) in system of concentric cylindrical shells.
265:
formed by dropping a small object into still water naturally form an expanding system of concentric circles. Evenly spaced circles on the targets used in
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American universal geography;: or, A view of the present state of all the kingdoms, states, and colonies in the known world, Volume 1
290:
Concentric circles have been used on firearms surfaces as means of holding lubrication or reducing friction on components, similar to
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591:, Dolciani Mathematical Expositions, vol. 47, Mathematical Association of America, p. 140,
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74:. Any pair of (possibly unalike) objects with well-defined centers can be concentric, including
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envisioned a cosmological system formed by concentric regular polyhedra and spheres.
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the radius of one is twice the radius of the other, in which case the triangle is
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199:-gon itself, are concentric. For the circumradius-to-inradius ratio for various
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of a triangle, two concentric circles (with that distance being zero) are the
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Kepler's cosmological model formed by concentric spheres and regular polyhedra
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or similar sports provide another familiar example of concentric circles.
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of the earth (approximated as a sphere). More generally, every two
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565:"Non-Euclidean versions of some classical triangle inequalities"
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153:
on a sphere are concentric with each other and with the sphere.
639:
Brannan, David A.; Esplen, Matthew F.; Gray, Jeremy J. (2011),
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The region of the plane between two concentric circles is an
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Concentric objects are often part of the broad category of
770:"Behind Enemy Lines: Sterling Hayden's Registered Magnum"
618:, MAA Spectrum, Cambridge University Press, p. 142,
675:, Society for Promoting Christian Knowledge, p. 20
90:, parallelograms, cones, conic sections, and quadrics.
418:
Alexander, Daniel C.; Koeberlein, Geralyn M. (2009),
417:
638:
798:
645:, Cambridge University Press, pp. 320–321,
551:(6th ed.), Thomas & Andrews, p. 19
109:, conic sections, and surfaces of revolution.
747:(2nd ed.), Academic Press, p. 436,
687:Haywood, Kathleen; Lewis, Catherine (2006),
686:
256:
241:in the plane, the set of all circles having
145:are concentric with each other and with the
518:Cole, George M.; Harbin, Andrew L. (2009),
517:
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339:, in a typical expanding circular pattern.
563:Dragutin Svrtan and Darko Veljan (2012),
40: circles that surround a "
421:Elementary Geometry for College Students
47:
27:
665:
581:
571:, Forum Geometricorum, pp. 197–209
458:
437:
187:The circumcircle and the incircle of a
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16:Geometric objects with a common centre
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297:Concentric circles are also found in
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524:, www.ppi2pass.com, §2, p. 6,
491:Spurk, Joseph; Aksel, Nuri (2008),
453:, The University Press, p. 107
13:
511:
205:Bicentric polygon#Regular polygons
14:
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693:, Human Kinetics, p. xxiii,
424:, Cengage Learning, p. 279,
791:Concentric circles demonstration
717:Fiber Optics Standard Dictionary
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351:Tree rings, as can be used for
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1:
744:Geometry and Its Applications
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615:Complex Numbers and Geometry
450:A Course of Pure Mathematics
207:. The same can be said of a
160:on the distance between the
7:
465:, Pergamon Press, pp.
459:Gillard, Robert D. (1987),
359:
158:Euler's theorem in geometry
23:Concentric (disambiguation)
10:
833:
793:With interactive animation
387:Magic circle (mathematics)
36:, featuring evenly spaced
20:
741:Meyer, Walter A. (2006),
720:, Springer, p. 124,
690:Archery: Steps to Success
667:Fleming, Sir John Ambrose
612:Hahn, Liang-shin (1994),
521:Surveyor Reference Manual
497:, Springer, p. 174,
257:Applications and examples
70:when they share the same
588:New Horizons in Geometry
545:Morse, Jedidiah (1812),
284:Mysterium Cosmographicum
245:as their center forms a
101:if they share the same
119:, which also includes
93:Geometric objects are
53:
45:
768:Elliot, Dave (2018),
714:Weik, Martin (1997),
445:Hardy, Godfrey Harold
251:Möbius transformation
51:
31:
807:Corrosion prevention
367:Centered cube number
129:Geometric properties
21:For other uses, see
774:American Handgunner
457:Regular polyhedra:
442:Regular polygons:
337:Pacinian corpuscle
237:For a given point
209:regular polyhedron
195:, and the regular
54:
46:
812:Geometric centers
569:forumgeom.fau.edu
392:Osculating circle
382:Circular symmetry
247:pencil of circles
141:of a terrestrial
88:regular polyhedra
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182:equilateral
801:Categories
789:Geometry:
404:References
67:concentric
38:concentric
436:Spheres:
416:Circles:
333:Histology
292:jewelling
217:midsphere
139:meridians
107:cylinders
669:(1902),
642:Geometry
585:(2013),
467:137, 139
447:(1908),
377:Focaloid
372:Homoeoid
360:See also
320:in water
213:insphere
189:regular
174:incircle
166:incenter
117:patterns
58:geometry
42:bullseye
318:Ripples
263:ripples
228:annulus
133:In the
122:spirals
115:whorled
97:coaxial
80:spheres
76:circles
62:objects
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397:Spiral
303:tunnel
203:, see
72:center
335:of a
147:globe
143:globe
749:ISBN
722:ISBN
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647:ISBN
620:ISBN
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526:ISBN
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471:ISBN
426:ISBN
261:The
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172:and
164:and
103:axis
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