Knowledge (XXG)

Concentric objects

Source 📝

338: 357: 323: 40: 260:. 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 60: 148:, 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 312:, 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 337: 286:
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.
356: 276:
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
559:
The American universal geography;: or, A view of the present state of all the kingdoms, states, and colonies in the known world, Volume 1
301:
Concentric circles have been used on firearms surfaces as means of holding lubrication or reducing friction on components, similar to
763: 736: 709: 683:
Waves and Ripples in Water, Air, and Æther: Being a Course of Christmas Lectures Delivered at the Royal Institution of Great Britain
661: 634: 607: 540: 513: 485: 440: 780: 168: 817: 116:(line of symmetry). Geometric objects with a well-defined axis include circles (any line through the center), spheres, 33: 822: 397: 322: 316:). When these sights are correctly aligned, the point of impact will be in the middle of the front sight circle. 294: 261: 827: 238: 677: 602:, Dolciani Mathematical Expositions, vol. 47, Mathematical Association of America, p. 140, 377: 192: 149: 117: 72: 347: 257: 219: 98: 530: 477: 471: 85:. Any pair of (possibly unalike) objects with well-defined centers can be concentric, including 759: 753: 732: 726: 705: 657: 651: 630: 624: 603: 597: 536: 509: 503: 481: 459: 436: 430: 402: 392: 215: 82: 52: 699: 681: 575: 557: 363: 136:(a curve which emanates from a point, moving farther away as it revolves around the point). 289: 242: 199: 145: 113: 94: 44: 39: 328: 302: 277: 273: 188: 59: 811: 309: 298:
envisioned a cosmological system formed by concentric regular polyhedra and spheres.
283: 231: 180: 172: 161: 191:
the radius of one is twice the radius of the other, in which case the triangle is
593: 455: 210:-gon itself, are concentric. For the circumradius-to-inradius ratio for various 179:
of a triangle, two concentric circles (with that distance being zero) are the
63:
Kepler's cosmological model formed by concentric spheres and regular polyhedra
801: 343: 227: 280:
or similar sports provide another familiar example of concentric circles.
241:, and analogously the region of space between two concentric spheres is a 17: 387: 382: 223: 184: 176: 68: 107: 86: 407: 132: 90: 160:
of the earth (approximated as a sphere). More generally, every two
157: 153: 125: 58: 38: 576:"Non-Euclidean versions of some classical triangle inequalities" 164:
on a sphere are concentric with each other and with the sphere.
650:
Brannan, David A.; Esplen, Matthew F.; Gray, Jeremy J. (2011),
473:
Comprehensive Coordination Chemistry: Theory & background
237:
The region of the plane between two concentric circles is an
123:
Concentric objects are often part of the broad category of
781:"Behind Enemy Lines: Sterling Hayden's Registered Magnum" 629:, MAA Spectrum, Cambridge University Press, p. 142, 686:, Society for Promoting Christian Knowledge, p. 20 101:, parallelograms, cones, conic sections, and quadrics. 429:
Alexander, Daniel C.; Koeberlein, Geralyn M. (2009),
656:, Cambridge University Press, pp. 320–321, 562:(6th ed.), Thomas & Andrews, p. 19 120:, conic sections, and surfaces of revolution. 758:(2nd ed.), Academic Press, p. 436, 8: 698:Haywood, Kathleen; Lewis, Catherine (2006), 252:in the plane, the set of all circles having 156:are concentric with each other and with the 529:Cole, George M.; Harbin, Andrew L. (2009), 350:, in a typical expanding circular pattern. 574:Dragutin Svrtan and Darko Veljan (2012), 51: circles that surround a " 432:Elementary Geometry for College Students 582:, Forum Geometricorum, pp. 197–209 448: 420: 318: 198:The circumcircle and the incircle of a 27:Geometric objects with a common centre 308:Concentric circles are also found in 7: 535:, www.ppi2pass.com, §2, p. 6, 502:Spurk, Joseph; Aksel, Nuri (2008), 464:, The University Press, p. 107 216:Bicentric polygon#Regular polygons 25: 704:, Human Kinetics, p. xxiii, 435:, Cengage Learning, p. 279, 802:Concentric circles demonstration 728:Fiber Optics Standard Dictionary 355: 336: 321: 362:Tree rings, as can be used for 1: 755:Geometry and Its Applications 626:Complex Numbers and Geometry 461:A Course of Pure Mathematics 218:. The same can be said of a 171:on the distance between the 476:, Pergamon Press, pp.  470:Gillard, Robert D. (1987), 169:Euler's theorem in geometry 34:Concentric (disambiguation) 844: 804:With interactive animation 398:Magic circle (mathematics) 47:, featuring evenly spaced 31: 752:Meyer, Walter A. (2006), 731:, Springer, p. 124, 701:Archery: Steps to Success 678:Fleming, Sir John Ambrose 623:Hahn, Liang-shin (1994), 532:Surveyor Reference Manual 508:, Springer, p. 174, 268:Applications and examples 81:when they share the same 599:New Horizons in Geometry 556:Morse, Jedidiah (1812), 295:Mysterium Cosmographicum 256:as their center forms a 112:if they share the same 130:, which also includes 104:Geometric objects are 64: 56: 779:Elliot, Dave (2018), 725:Weik, Martin (1997), 456:Hardy, Godfrey Harold 262:Möbius transformation 62: 42: 818:Corrosion prevention 378:Centered cube number 140:Geometric properties 32:For other uses, see 785:American Handgunner 468:Regular polyhedra: 453:Regular polygons: 348:Pacinian corpuscle 248:For a given point 220:regular polyhedron 206:, and the regular 65: 57: 823:Geometric centers 580:forumgeom.fau.edu 403:Osculating circle 393:Circular symmetry 258:pencil of circles 152:of a terrestrial 99:regular polyhedra 16:(Redirected from 835: 788: 787: 776: 770: 768: 749: 743: 741: 722: 716: 714: 695: 689: 687: 674: 668: 666: 647: 641: 639: 620: 614: 612: 590: 584: 583: 571: 565: 563: 553: 547: 545: 526: 520: 518: 499: 493: 490: 465: 445: 425: 364:tree-ring dating 359: 340: 325: 95:regular polygons 21: 843: 842: 838: 837: 836: 834: 833: 832: 808: 807: 797: 792: 791: 778: 777: 773: 766: 751: 750: 746: 739: 724: 723: 719: 712: 697: 696: 692: 676: 675: 671: 664: 649: 648: 644: 637: 622: 621: 617: 610: 592: 591: 587: 573: 572: 568: 555: 554: 550: 543: 528: 527: 523: 516: 505:Fluid Mechanics 501: 500: 496: 488: 469: 454: 443: 428: 426: 422: 417: 412: 373: 366: 360: 351: 341: 332: 326: 290:Johannes Kepler 270: 243:spherical shell 146:Euclidean plane 142: 75:are said to be 37: 28: 23: 22: 15: 12: 11: 5: 841: 839: 831: 830: 825: 820: 810: 809: 806: 805: 796: 795:External links 793: 790: 789: 771: 764: 744: 737: 717: 710: 690: 669: 662: 642: 635: 615: 608: 585: 566: 548: 541: 521: 514: 494: 486: 449:Apostol (2013) 441: 419: 418: 416: 413: 411: 410: 405: 400: 395: 390: 385: 380: 374: 372: 369: 368: 367: 361: 354: 352: 342: 335: 333: 327: 320: 310:diopter sights 278:target archery 269: 266: 189:if and only if 187:of a triangle 141: 138: 71:, two or more 45:archery target 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 840: 829: 828:Visual motifs 826: 824: 821: 819: 816: 815: 813: 803: 799: 798: 794: 786: 782: 775: 772: 767: 765:9780080478036 761: 757: 756: 748: 745: 740: 738:9780412122415 734: 730: 729: 721: 718: 713: 711:9780736055420 707: 703: 702: 694: 691: 685: 684: 679: 673: 670: 665: 663:9781139503709 659: 655: 654: 646: 643: 638: 636:9780883855102 632: 628: 627: 619: 616: 611: 609:9780883853542 605: 601: 600: 595: 589: 586: 581: 577: 570: 567: 561: 560: 552: 549: 544: 542:9781591261742 538: 534: 533: 525: 522: 517: 515:9783540735366 511: 507: 506: 498: 495: 492: 489: 487:9780080262321 483: 479: 475: 474: 466: 463: 462: 457: 451: 450: 444: 442:9781111788599 438: 434: 433: 424: 421: 414: 409: 406: 404: 401: 399: 396: 394: 391: 389: 386: 384: 381: 379: 376: 375: 370: 365: 358: 353: 349: 345: 339: 334: 330: 324: 319: 317: 315: 311: 306: 304: 299: 297: 296: 291: 287: 285: 284:Coaxial cable 281: 279: 275: 267: 265: 263: 259: 255: 251: 246: 244: 240: 235: 233: 229: 225: 221: 217: 213: 209: 205: 203: 196: 194: 190: 186: 182: 178: 174: 170: 165: 163: 162:great circles 159: 155: 151: 147: 139: 137: 135: 134: 129: 127: 121: 119: 115: 111: 110: 109: 102: 100: 96: 92: 88: 84: 80: 79: 74: 70: 61: 54: 50: 46: 41: 35: 30: 19: 784: 774: 754: 747: 727: 720: 700: 693: 682: 672: 652: 645: 625: 618: 598: 594:Apostol, Tom 588: 579: 569: 558: 551: 531: 524: 504: 497: 472: 467: 460: 452: 446: 431: 423: 313: 307: 300: 293: 288: 282: 271: 253: 249: 247: 236: 232:circumsphere 211: 207: 201: 197: 181:circumcircle 173:circumcenter 166: 143: 131: 124: 122: 106: 105: 103: 77: 76: 66: 48: 29: 193:equilateral 812:Categories 800:Geometry: 415:References 78:concentric 49:concentric 18:Concentric 447:Spheres: 427:Circles: 344:Histology 303:jewelling 228:midsphere 150:meridians 118:cylinders 680:(1902), 653:Geometry 596:(2013), 478:137, 139 458:(1908), 388:Focaloid 383:Homoeoid 371:See also 331:in water 224:insphere 200:regular 185:incircle 177:incenter 128:patterns 69:geometry 53:bullseye 329:Ripples 274:ripples 239:annulus 144:In the 133:spirals 126:whorled 108:coaxial 91:spheres 87:circles 73:objects 762:  735:  708:  660:  633:  606:  539:  512:  484:  439:  408:Spiral 314:tunnel 214:, see 83:center 346:of a 158:globe 154:globe 760:ISBN 733:ISBN 706:ISBN 658:ISBN 631:ISBN 604:ISBN 537:ISBN 510:ISBN 482:ISBN 437:ISBN 272:The 230:and 204:-gon 183:and 175:and 114:axis 292:'s 222:'s 167:By 67:In 43:An 814:: 783:, 578:, 480:, 305:. 264:. 245:. 234:. 226:, 195:. 97:, 93:, 89:, 55:". 769:. 742:. 715:. 688:. 667:. 640:. 613:. 564:. 546:. 519:. 491:. 254:c 250:c 212:n 208:n 202:n 36:. 20:)

Index

Concentric
Concentric (disambiguation)

archery target
bullseye

geometry
objects
center
circles
spheres
regular polygons
regular polyhedra
coaxial
axis
cylinders
whorled
spirals
Euclidean plane
meridians
globe
globe
great circles
Euler's theorem in geometry
circumcenter
incenter
circumcircle
incircle
if and only if
equilateral

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.