Knowledge (XXG)

Outline of geometry

Source šŸ“

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concerned with questions of shape, size, relative position of figures, and the properties of space. Geometry is one of the oldest mathematical sciences.
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Types, methodologies, and terminologies of geometry.
3446:is used in the design of some musical instruments. 3556: 1164: 8: 3563: 3549: 3541: 3322:History of the Cartesian coordinate system 3020:Fundamental theorem of projective geometry 1171: 1157: 886: 405: 40: 29: 27:Overview of and topical guide to geometry 3521:(4th ed.). New York: McGraw-Hill. 2137:Matrix representation of conic sections 1125: 1059: 1008: 937: 889: 651: 513: 490: 457: 429: 32: 2001:Compass and straightedge constructions 271:Straightedge and compass constructions 3452:for the design of mechanical linkages 7: 2053:Incircle and excircles of a triangle 1924:Coordinate rotations and reflections 1685:Vector spaces and complex dimensions 25: 3661:Outlines of mathematics and logic 3329:History of non-Euclidean geometry 1355:Noncommutative algebraic geometry 237:Noncommutative algebraic geometry 3495:List of basic mathematics topics 3483:List of trigonometric identities 2926:Other geometries (not Euclidean) 2467:3-dimensional Euclidean geometry 1799:Point groups in three dimensions 3640:Technology and applied sciences 2709:-dimensional Euclidean geometry 1825:Euclidean geometry foundations 1794:Point groups in two dimensions 630:- / other-dimensional 1: 3615:Natural and physical sciences 3505:Table of mathematical symbols 3339:History of algebraic geometry 2407:List of triangle inequalities 2176:Interactive geometry software 3519:Schaum's Outline of Geometry 3500:List of mathematics articles 3317:History of analytic geometry 3113:Non-Euclidean plane geometry 2078:Circle points segments proof 1489:Infinitesimal transformation 3635:Society and social sciences 3630:Religion and belief systems 3463:List of mathematical shapes 3406:Connections to other fields 2454:List of trigonometry topics 2265:Orthodiagonal quadrilateral 1748:Symmetry, shape and pattern 1240:Constructive solid geometry 3692: 3412:Mathematics and fiber arts 2929: 2470: 2370:Acute and obtuse triangles 2255:Equidiagonal quadrilateral 1967: 1828: 1639: 3676:Mathematics-related lists 3578: 3025:Projective transformation 2943:Arc (projective geometry) 2551:Pappus's centroid theorem 2489:Binary space partitioning 1946:Similarity transformation 1660:(also known as magnitude) 1479:Coordinate-free treatment 1446:General geometry concepts 3572:Knowledge (XXG) outlines 3052:Pappus's hexagon theorem 3015:Complex projective plane 2695:Stereographic projection 2623:Kepler-Poinsot polyhedra 2289:Tangential quadrilateral 2223:Ponceletā€“Steiner theorem 1964:Euclidean plane geometry 126:Non-Archimedean geometry 3625:Philosophy and thinking 3385:Euclidean shortest path 3362:Noncommutative geometry 3292:Measurement of a Circle 3269:Ancient Greek geometry 3223:Euclidean shortest path 3047:Homogeneous coordinates 3010:Complex projective line 2993:Oval (projective plane) 2643:Hilbert's third problem 2412:List of triangle topics 2245:Bicentric quadrilateral 2149:Curve of constant width 1996:Bretschneider's formula 1716:Polar coordinate system 1592:Trigonometric functions 1435:Transformation geometry 1360:Noncommutative geometry 1335:Inversive ring geometry 232:Noncommutative geometry 3517:Rich, Barnett (2009). 2978:Hyperplane at infinity 2932:Non-Euclidean Geometry 2816:Delaunay triangulation 2789:Kissing number problem 2218:Bolyaiā€“Gerwien theorem 2083:Mrs. Miniver's problem 1814:Translational symmetry 1598:Trigonometric function 1484:Four-dimensional space 1350:Non-Euclidean geometry 1230:Computational geometry 200:Discrete/Combinatorial 3610:Mathematics and logic 3478:List of curves topics 3157:Thurston's conjecture 3091:Differential geometry 3079:Affine transformation 3030:Mƶbius transformation 2801:Andreini tessellation 2511:Cavalieri's principle 2228:Polygon triangulation 2088:Isoperimetric theorem 2033:List of circle topics 1991:Brahmagupta's formula 1669:Scalar multiplication 1494:Geometric progression 1260:Differential geometry 183:Discrete differential 3595:Geography and places 3590:Culture and the arts 3444:StrƤhle construction 3373:Geometric algorithms 3307:Bakhshali manuscript 3255:Timeline of geometry 3211:Geometric algorithms 2811:Voronoi tessellation 2806:Uniform tessellation 2673:Parabolic microphone 2606:Heronian tetrahedron 2484:3D computer graphics 2432:Pythagorean triangle 2375:Equilateral triangle 2250:Cyclic quadrilateral 2186:Goat grazing problem 1976:2D computer graphics 1897:Supplementary angles 1882:Complementary angles 1701:Linear interpolation 1320:Information geometry 1285:Enumerative geometry 1255:Descriptive geometry 3400:Hidden line removal 3334:History of topology 3278:Pythagorean theorem 3260:Babylonian geometry 3249:History of geometry 3244:History of geometry 3238:Hidden line removal 3123:Hyperbolic geometry 3106:Symplectic geometry 3101:Riemannian geometry 2938:Projective geometry 2767:Minkowski's theorem 2678:Parabolic reflector 2638:Polyhedral compound 2546:Napkin ring problem 2536:Right circular cone 2442:Triangle inequality 2427:Pythagorean theorem 2358:Isosceles trapezoid 2299:Isosceles trapezoid 2098:Ptolemaios' theorem 2058:Orthocentric system 2006:Squaring the circle 1519:De Moivre's theorem 1410:Symplectic geometry 1390:Riemannian geometry 1380:Projective geometry 1345:Lie sphere geometry 1310:Hyperbolic geometry 1305:Geometry of numbers 1220:Birational geometry 450:Pythagorean theorem 3605:History and events 3600:Health and fitness 3450:Burmester's theory 3302:Indian mathematics 3273:Euclidean geometry 3205:Parametric surface 3163:Numerical geometry 3145:Spherical geometry 2958:Desarguesian plane 2948:Desargues' theorem 2757:Ehrhart polynomial 2737:Euclidean distance 2633:Uniform polyhedron 2531:Desargues' theorem 2422:Pedoe's inequality 2402:Isosceles triangle 2193:Parallel postulate 2171:Holditch's theorem 1981:2D geometric model 1831:Euclidean geometry 1658:Norm (mathematics) 1642:Vector (geometric) 1613:Periodic functions 1608:Circular functions 1467:Relative direction 1415:Synthetic geometry 1405:Spherical geometry 1395:Ruppeiner geometry 1370:Parabolic geometry 1330:Inversive geometry 1315:Incidence geometry 1235:Conformal geometry 1210:Algebraic geometry 3648: 3647: 3583:General reference 3528:978-0-07-154412-2 3468:List of geometers 3428:Computer graphics 3265:Egyptian geometry 3140:Elliptic geometry 2973:Plane at infinity 2968:Point at infinity 2851:Regular Polytopes 2830:Parallelogram law 2784:Kepler conjecture 2742:Homothetic center 2618:Archimedean solid 2395:Heronian triangle 2154:Reuleaux triangle 2073:Nine-point circle 1524:Similar triangles 1440:Tropical geometry 1420:Systolic geometry 1325:Integral geometry 1290:Epipolar geometry 1280:Elliptic geometry 1275:Distance geometry 1270:Discrete geometry 1215:Analytic geometry 1200:Absolute geometry 1181: 1180: 1146: 1145: 869:List of geometers 552:Three-dimensional 541: 540: 16:(Redirected from 3683: 3565: 3558: 3551: 3542: 3532: 3390:Point in polygon 3344:Erlangen program 3313:Modern geometry 3228:Point in polygon 3169:Parametric curve 3096:Contact geometry 3062:Pascal's theorem 3005:Projective space 2988:Projective plane 2963:Line at infinity 2953:Girard Desargues 2845:Regular polytope 2390:Integer triangle 2333:Aperiodic tiling 2213:Shape dissection 2142:Dandelin spheres 2013:Complex geometry 1934:Glide reflection 1902:Angle trisection 1867:Concurrent lines 1837:Hilbert's axioms 1509:Angular velocity 1451:General concepts 1425:Taxicab geometry 1385:Quantum geometry 1365:Ordered geometry 1300:Fractal geometry 1265:Digital geometry 1245:Contact geometry 1225:Complex geometry 1173: 1166: 1159: 887: 406: 339:Zero-dimensional 44: 30: 21: 3691: 3690: 3686: 3685: 3684: 3682: 3681: 3680: 3651: 3650: 3649: 3644: 3620:People and self 3574: 3569: 3539: 3529: 3516: 3513: 3511:Further reading 3491: 3459: 3417:Van Hiele model 3408: 3375: 3358: 3356:Generalizations 3246: 3213: 3165: 3152:Minkowski space 3086:Finite geometry 3069:Affine geometry 2983:Projective line 2934: 2928: 2840:SchlƤfli symbol 2711: 2526:Cuisenaire rods 2506:Borromean rings 2475: 2469: 2461:Wallpaper group 2385:Heron's formula 2260:Kite (geometry) 2120:Semi-major axis 2063:Monge's theorem 2038:Thales' theorem 1972: 1966: 1887:Inscribed angle 1872:Adjacent angles 1833: 1827: 1819:Wallpaper group 1750: 1736:Circular sector 1687: 1674:Vector addition 1664:Position vector 1644: 1638: 1594: 1552: 1514:Linear velocity 1499:Geometric shape 1453: 1448: 1295:Finite geometry 1250:Convex geometry 1205:Affine geometry 1196: 1186:is a branch of 1177: 1148: 1147: 884: 883: 874: 873: 664: 663: 647: 646: 632: 631: 619: 618: 555: 554: 543: 542: 403: 402: 400:Two-dimensional 391: 390: 364: 363: 361:One-dimensional 352: 351: 342: 341: 330: 329: 263: 262: 261: 244: 243: 92: 91: 80: 57: 28: 23: 22: 15: 12: 11: 5: 3689: 3687: 3679: 3678: 3673: 3668: 3663: 3653: 3652: 3646: 3645: 3643: 3642: 3637: 3632: 3627: 3622: 3617: 3612: 3607: 3602: 3597: 3592: 3586: 3585: 3579: 3576: 3575: 3570: 3568: 3567: 3560: 3553: 3545: 3538: 3537:External links 3535: 3534: 3533: 3527: 3512: 3509: 3508: 3507: 3502: 3497: 3490: 3487: 3486: 3485: 3480: 3475: 3473:List of curves 3470: 3465: 3458: 3455: 3454: 3453: 3447: 3440: 3435: 3433:Image analysis 3430: 3425: 3420: 3414: 3407: 3404: 3403: 3402: 3397: 3395:Point location 3392: 3387: 3382: 3374: 3371: 3370: 3369: 3364: 3357: 3354: 3353: 3352: 3349: 3348: 3347: 3346: 3341: 3336: 3331: 3326: 3325: 3324: 3311: 3310: 3309: 3299: 3298: 3297: 3296: 3295: 3288: 3280: 3267: 3262: 3257: 3245: 3242: 3241: 3240: 3235: 3233:Point location 3230: 3225: 3220: 3212: 3209: 3208: 3207: 3202: 3201: 3200: 3199: 3198: 3193: 3192: 3191: 3184:Hermite spline 3176: 3164: 3161: 3160: 3159: 3154: 3149: 3148: 3147: 3137: 3136: 3135: 3130: 3120: 3115: 3110: 3109: 3108: 3103: 3098: 3088: 3083: 3082: 3081: 3076: 3066: 3065: 3064: 3059: 3054: 3049: 3044: 3039: 3034: 3033: 3032: 3022: 3017: 3012: 3007: 3002: 3001: 3000: 2995: 2985: 2980: 2975: 2970: 2965: 2960: 2955: 2950: 2945: 2930:Main article: 2927: 2924: 2923: 2922: 2917: 2912: 2907: 2902: 2901: 2900: 2895: 2890: 2885: 2880: 2875: 2861: 2856: 2855: 2854: 2847: 2842: 2832: 2827: 2826: 2825: 2824: 2823: 2818: 2813: 2808: 2803: 2793: 2792: 2791: 2786: 2779:Sphere packing 2771: 2770: 2769: 2764: 2759: 2749: 2744: 2739: 2734: 2729: 2728: 2727: 2717: 2710: 2704: 2703: 2702: 2697: 2692: 2687: 2685:Soddy's hexlet 2682: 2681: 2680: 2675: 2657: 2656: 2655: 2653:Surface normal 2650: 2645: 2640: 2635: 2630: 2625: 2620: 2615: 2613:Platonic solid 2610: 2609: 2608: 2598: 2596:Parallelepiped 2593: 2588: 2583: 2578: 2573: 2571:Dihedral angle 2568: 2558: 2553: 2548: 2543: 2538: 2533: 2528: 2523: 2518: 2513: 2508: 2503: 2502: 2501: 2496: 2491: 2481: 2473:Solid geometry 2471:Main article: 2468: 2465: 2464: 2463: 2458: 2457: 2456: 2446: 2445: 2444: 2439: 2437:Right triangle 2434: 2429: 2424: 2419: 2417:Pedal triangle 2414: 2409: 2404: 2399: 2398: 2397: 2387: 2382: 2377: 2372: 2362: 2361: 2360: 2349: 2348: 2347: 2346: 2345: 2343:Penrose tiling 2340: 2330: 2320: 2315: 2310: 2305: 2304: 2303: 2302: 2301: 2291: 2286: 2285: 2284: 2274: 2273: 2272: 2262: 2257: 2252: 2247: 2237: 2232: 2231: 2230: 2225: 2220: 2215: 2210: 2208:Pick's theorem 2205: 2195: 2190: 2189: 2188: 2178: 2173: 2168: 2163: 2158: 2157: 2156: 2146: 2145: 2144: 2139: 2134: 2129: 2124: 2123: 2122: 2112: 2107: 2106: 2105: 2100: 2095: 2090: 2085: 2080: 2075: 2070: 2065: 2060: 2055: 2050: 2045: 2040: 2035: 2025: 2015: 2010: 2009: 2008: 1998: 1993: 1988: 1983: 1978: 1970:Plane geometry 1968:Main article: 1965: 1962: 1961: 1960: 1955: 1954: 1953: 1948: 1938: 1937: 1936: 1931: 1926: 1921: 1916: 1906: 1905: 1904: 1899: 1894: 1892:Internal angle 1889: 1884: 1879: 1874: 1869: 1859: 1854: 1849: 1844: 1839: 1829:Main article: 1826: 1823: 1822: 1821: 1816: 1811: 1809:Symmetry group 1806: 1801: 1796: 1791: 1786: 1781: 1776: 1771: 1769:Crystal system 1766: 1761: 1756: 1749: 1746: 1745: 1744: 1739: 1733: 1728: 1723: 1718: 1713: 1708: 1703: 1698: 1696:Imaginary axis 1693: 1686: 1683: 1682: 1681: 1676: 1671: 1666: 1661: 1655: 1650: 1640:Main article: 1637: 1634: 1633: 1632: 1631: 1630: 1625: 1620: 1618:Law of cosines 1615: 1610: 1605: 1593: 1590: 1589: 1588: 1583: 1578: 1573: 1568: 1563: 1558: 1551: 1548: 1547: 1546: 1541: 1536: 1531: 1526: 1521: 1516: 1511: 1506: 1501: 1496: 1491: 1486: 1481: 1476: 1475: 1474: 1469: 1464: 1452: 1449: 1447: 1444: 1443: 1442: 1437: 1432: 1430:Toric geometry 1427: 1422: 1417: 1412: 1407: 1402: 1400:Solid geometry 1397: 1392: 1387: 1382: 1377: 1375:Plane geometry 1372: 1367: 1362: 1357: 1352: 1347: 1342: 1340:Klein geometry 1337: 1332: 1327: 1322: 1317: 1312: 1307: 1302: 1297: 1292: 1287: 1282: 1277: 1272: 1267: 1262: 1257: 1252: 1247: 1242: 1237: 1232: 1227: 1222: 1217: 1212: 1207: 1202: 1195: 1192: 1179: 1178: 1176: 1175: 1168: 1161: 1153: 1150: 1149: 1144: 1143: 1142: 1141: 1136: 1128: 1127: 1123: 1122: 1121: 1120: 1115: 1110: 1105: 1100: 1095: 1090: 1085: 1080: 1075: 1070: 1062: 1061: 1057: 1056: 1055: 1054: 1049: 1044: 1039: 1034: 1029: 1024: 1019: 1011: 1010: 1006: 1005: 1004: 1003: 998: 993: 988: 983: 978: 973: 968: 963: 958: 953: 948: 940: 939: 935: 934: 933: 932: 927: 922: 917: 912: 907: 902: 894: 893: 885: 881: 880: 879: 876: 875: 872: 871: 866: 861: 856: 851: 846: 841: 836: 831: 826: 821: 816: 811: 806: 801: 796: 791: 786: 781: 776: 771: 766: 761: 756: 751: 746: 741: 736: 731: 726: 721: 716: 711: 706: 701: 696: 691: 686: 681: 676: 671: 665: 661: 660: 659: 656: 655: 649: 648: 645: 644: 639: 633: 626: 625: 624: 621: 620: 617: 616: 611: 606: 604:Platonic Solid 601: 596: 591: 586: 581: 576: 575: 574: 563: 562: 556: 550: 549: 548: 545: 544: 539: 538: 537: 536: 531: 526: 518: 517: 511: 510: 509: 508: 503: 495: 494: 488: 487: 486: 485: 480: 475: 470: 462: 461: 455: 454: 453: 452: 447: 442: 434: 433: 427: 426: 425: 424: 419: 414: 404: 398: 397: 396: 393: 392: 389: 388: 383: 382: 381: 376: 365: 359: 358: 357: 354: 353: 350: 349: 343: 337: 336: 335: 332: 331: 328: 327: 322: 317: 311: 310: 305: 300: 290: 285: 280: 274: 273: 264: 260: 259: 256: 252: 251: 250: 249: 246: 245: 242: 241: 240: 239: 229: 224: 219: 214: 209: 208: 207: 197: 192: 187: 186: 185: 180: 175: 165: 164: 163: 158: 148: 143: 138: 133: 128: 123: 122: 121: 116: 115: 114: 99: 93: 87: 86: 85: 82: 81: 79: 78: 68: 62: 59: 58: 45: 37: 36: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 3688: 3677: 3674: 3672: 3669: 3667: 3664: 3662: 3659: 3658: 3656: 3641: 3638: 3636: 3633: 3631: 3628: 3626: 3623: 3621: 3618: 3616: 3613: 3611: 3608: 3606: 3603: 3601: 3598: 3596: 3593: 3591: 3588: 3587: 3584: 3581: 3580: 3577: 3573: 3566: 3561: 3559: 3554: 3552: 3547: 3546: 3543: 3536: 3530: 3524: 3520: 3515: 3514: 3510: 3506: 3503: 3501: 3498: 3496: 3493: 3492: 3488: 3484: 3481: 3479: 3476: 3474: 3471: 3469: 3466: 3464: 3461: 3460: 3456: 3451: 3448: 3445: 3441: 3439: 3438:Robot control 3436: 3434: 3431: 3429: 3426: 3424: 3421: 3418: 3415: 3413: 3410: 3409: 3405: 3401: 3398: 3396: 3393: 3391: 3388: 3386: 3383: 3380: 3377: 3376: 3372: 3368: 3365: 3363: 3360: 3359: 3355: 3351: 3350: 3345: 3342: 3340: 3337: 3335: 3332: 3330: 3327: 3323: 3320: 3319: 3318: 3315: 3314: 3312: 3308: 3305: 3304: 3303: 3300: 3294: 3293: 3289: 3287: 3286: 3281: 3279: 3276: 3275: 3274: 3271: 3270: 3268: 3266: 3263: 3261: 3258: 3256: 3253: 3252: 3251: 3250: 3243: 3239: 3236: 3234: 3231: 3229: 3226: 3224: 3221: 3218: 3215: 3214: 3210: 3206: 3203: 3197: 3194: 3190: 3187: 3186: 3185: 3182: 3181: 3180: 3177: 3175: 3172: 3171: 3170: 3167: 3166: 3162: 3158: 3155: 3153: 3150: 3146: 3143: 3142: 3141: 3138: 3134: 3131: 3129: 3126: 3125: 3124: 3121: 3119: 3116: 3114: 3111: 3107: 3104: 3102: 3099: 3097: 3094: 3093: 3092: 3089: 3087: 3084: 3080: 3077: 3075: 3072: 3071: 3070: 3067: 3063: 3060: 3058: 3055: 3053: 3050: 3048: 3045: 3043: 3040: 3038: 3035: 3031: 3028: 3027: 3026: 3023: 3021: 3018: 3016: 3013: 3011: 3008: 3006: 3003: 2999: 2998:Roman surface 2996: 2994: 2991: 2990: 2989: 2986: 2984: 2981: 2979: 2976: 2974: 2971: 2969: 2966: 2964: 2961: 2959: 2956: 2954: 2951: 2949: 2946: 2944: 2941: 2940: 2939: 2936: 2935: 2933: 2925: 2921: 2918: 2916: 2913: 2911: 2908: 2906: 2903: 2899: 2896: 2894: 2891: 2889: 2886: 2884: 2881: 2879: 2876: 2874: 2870: 2867: 2866: 2865: 2862: 2860: 2857: 2853: 2852: 2848: 2846: 2843: 2841: 2838: 2837: 2836: 2833: 2831: 2828: 2822: 2819: 2817: 2814: 2812: 2809: 2807: 2804: 2802: 2799: 2798: 2797: 2794: 2790: 2787: 2785: 2782: 2781: 2780: 2777: 2776: 2775: 2772: 2768: 2765: 2763: 2762:Leech lattice 2760: 2758: 2755: 2754: 2753: 2750: 2748: 2745: 2743: 2740: 2738: 2735: 2733: 2732:Coxeter group 2730: 2726: 2723: 2722: 2721: 2718: 2716: 2713: 2712: 2708: 2705: 2701: 2698: 2696: 2693: 2691: 2688: 2686: 2683: 2679: 2676: 2674: 2671: 2670: 2669: 2665: 2661: 2658: 2654: 2651: 2649: 2646: 2644: 2641: 2639: 2636: 2634: 2631: 2629: 2628:Johnson solid 2626: 2624: 2621: 2619: 2616: 2614: 2611: 2607: 2604: 2603: 2602: 2599: 2597: 2594: 2592: 2589: 2587: 2584: 2582: 2579: 2577: 2574: 2572: 2569: 2567: 2564: 2563: 2562: 2559: 2557: 2554: 2552: 2549: 2547: 2544: 2542: 2539: 2537: 2534: 2532: 2529: 2527: 2524: 2522: 2519: 2517: 2516:Cross section 2514: 2512: 2509: 2507: 2504: 2500: 2497: 2495: 2492: 2490: 2487: 2486: 2485: 2482: 2480: 2479:3D projection 2477: 2476: 2474: 2466: 2462: 2459: 2455: 2452: 2451: 2450: 2447: 2443: 2440: 2438: 2435: 2433: 2430: 2428: 2425: 2423: 2420: 2418: 2415: 2413: 2410: 2408: 2405: 2403: 2400: 2396: 2393: 2392: 2391: 2388: 2386: 2383: 2381: 2378: 2376: 2373: 2371: 2368: 2367: 2366: 2363: 2359: 2356: 2355: 2353: 2350: 2344: 2341: 2339: 2336: 2335: 2334: 2331: 2329: 2326: 2325: 2324: 2321: 2319: 2316: 2314: 2311: 2309: 2306: 2300: 2297: 2296: 2295: 2292: 2290: 2287: 2283: 2280: 2279: 2278: 2275: 2271: 2268: 2267: 2266: 2263: 2261: 2258: 2256: 2253: 2251: 2248: 2246: 2243: 2242: 2241: 2240:Quadrilateral 2238: 2236: 2235:Pons asinorum 2233: 2229: 2226: 2224: 2221: 2219: 2216: 2214: 2211: 2209: 2206: 2204: 2201: 2200: 2199: 2196: 2194: 2191: 2187: 2184: 2183: 2182: 2179: 2177: 2174: 2172: 2169: 2167: 2164: 2162: 2159: 2155: 2152: 2151: 2150: 2147: 2143: 2140: 2138: 2135: 2133: 2130: 2128: 2125: 2121: 2118: 2117: 2116: 2113: 2111: 2108: 2104: 2103:Steiner chain 2101: 2099: 2096: 2094: 2091: 2089: 2086: 2084: 2081: 2079: 2076: 2074: 2071: 2069: 2066: 2064: 2061: 2059: 2056: 2054: 2051: 2049: 2046: 2044: 2041: 2039: 2036: 2034: 2031: 2030: 2029: 2026: 2024: 2021: 2020: 2019: 2018:Conic section 2016: 2014: 2011: 2007: 2004: 2003: 2002: 1999: 1997: 1994: 1992: 1989: 1987: 1984: 1982: 1979: 1977: 1974: 1973: 1971: 1963: 1959: 1958:Shear mapping 1956: 1952: 1949: 1947: 1944: 1943: 1942: 1939: 1935: 1932: 1930: 1927: 1925: 1922: 1920: 1917: 1915: 1912: 1911: 1910: 1907: 1903: 1900: 1898: 1895: 1893: 1890: 1888: 1885: 1883: 1880: 1878: 1877:Central angle 1875: 1873: 1870: 1868: 1865: 1864: 1863: 1860: 1858: 1855: 1853: 1850: 1848: 1845: 1843: 1840: 1838: 1835: 1834: 1832: 1824: 1820: 1817: 1815: 1812: 1810: 1807: 1805: 1802: 1800: 1797: 1795: 1792: 1790: 1787: 1785: 1782: 1780: 1777: 1775: 1772: 1770: 1767: 1765: 1762: 1760: 1757: 1755: 1752: 1751: 1747: 1743: 1742:Semiperimeter 1740: 1737: 1734: 1732: 1729: 1727: 1724: 1722: 1719: 1717: 1714: 1712: 1709: 1707: 1704: 1702: 1699: 1697: 1694: 1692: 1691:Complex plane 1689: 1688: 1684: 1680: 1677: 1675: 1672: 1670: 1667: 1665: 1662: 1659: 1656: 1654: 1651: 1649: 1646: 1645: 1643: 1635: 1629: 1626: 1624: 1621: 1619: 1616: 1614: 1611: 1609: 1606: 1604: 1601: 1600: 1599: 1596: 1595: 1591: 1587: 1584: 1582: 1581:Circumference 1579: 1577: 1574: 1572: 1569: 1567: 1564: 1562: 1559: 1557: 1554: 1553: 1549: 1545: 1542: 1540: 1537: 1535: 1532: 1530: 1527: 1525: 1522: 1520: 1517: 1515: 1512: 1510: 1507: 1505: 1502: 1500: 1497: 1495: 1492: 1490: 1487: 1485: 1482: 1480: 1477: 1473: 1470: 1468: 1465: 1463: 1460: 1459: 1458: 1455: 1454: 1450: 1445: 1441: 1438: 1436: 1433: 1431: 1428: 1426: 1423: 1421: 1418: 1416: 1413: 1411: 1408: 1406: 1403: 1401: 1398: 1396: 1393: 1391: 1388: 1386: 1383: 1381: 1378: 1376: 1373: 1371: 1368: 1366: 1363: 1361: 1358: 1356: 1353: 1351: 1348: 1346: 1343: 1341: 1338: 1336: 1333: 1331: 1328: 1326: 1323: 1321: 1318: 1316: 1313: 1311: 1308: 1306: 1303: 1301: 1298: 1296: 1293: 1291: 1288: 1286: 1283: 1281: 1278: 1276: 1273: 1271: 1268: 1266: 1263: 1261: 1258: 1256: 1253: 1251: 1248: 1246: 1243: 1241: 1238: 1236: 1233: 1231: 1228: 1226: 1223: 1221: 1218: 1216: 1213: 1211: 1208: 1206: 1203: 1201: 1198: 1197: 1193: 1191: 1189: 1185: 1174: 1169: 1167: 1162: 1160: 1155: 1154: 1152: 1151: 1140: 1137: 1135: 1132: 1131: 1130: 1129: 1124: 1119: 1116: 1114: 1111: 1109: 1106: 1104: 1101: 1099: 1096: 1094: 1091: 1089: 1086: 1084: 1081: 1079: 1076: 1074: 1071: 1069: 1066: 1065: 1064: 1063: 1058: 1053: 1050: 1048: 1045: 1043: 1040: 1038: 1035: 1033: 1030: 1028: 1025: 1023: 1020: 1018: 1015: 1014: 1013: 1012: 1007: 1002: 999: 997: 994: 992: 989: 987: 984: 982: 979: 977: 974: 972: 969: 967: 964: 962: 959: 957: 954: 952: 949: 947: 944: 943: 942: 941: 936: 931: 928: 926: 923: 921: 918: 916: 913: 911: 908: 906: 903: 901: 898: 897: 896: 895: 892: 888: 878: 877: 870: 867: 865: 862: 860: 857: 855: 852: 850: 847: 845: 842: 840: 837: 835: 832: 830: 827: 825: 822: 820: 817: 815: 812: 810: 807: 805: 802: 800: 797: 795: 792: 790: 787: 785: 782: 780: 777: 775: 772: 770: 767: 765: 762: 760: 757: 755: 752: 750: 747: 745: 742: 740: 737: 735: 732: 730: 727: 725: 722: 720: 717: 715: 712: 710: 707: 705: 702: 700: 697: 695: 692: 690: 687: 685: 682: 680: 677: 675: 672: 670: 667: 666: 658: 657: 654: 650: 643: 640: 638: 635: 634: 629: 623: 622: 615: 612: 610: 607: 605: 602: 600: 597: 595: 592: 590: 587: 585: 582: 580: 577: 573: 570: 569: 568: 565: 564: 561: 558: 557: 553: 547: 546: 535: 532: 530: 529:Circumference 527: 525: 522: 521: 520: 519: 516: 512: 507: 504: 502: 499: 498: 497: 496: 493: 492:Quadrilateral 489: 484: 481: 479: 476: 474: 471: 469: 466: 465: 464: 463: 460: 459:Parallelogram 456: 451: 448: 446: 443: 441: 438: 437: 436: 435: 432: 428: 423: 420: 418: 415: 413: 410: 409: 408: 407: 401: 395: 394: 387: 384: 380: 377: 375: 372: 371: 370: 367: 366: 362: 356: 355: 348: 345: 344: 340: 334: 333: 326: 323: 321: 318: 316: 313: 312: 309: 306: 304: 301: 298: 297:Perpendicular 294: 293:Orthogonality 291: 289: 286: 284: 281: 279: 276: 275: 272: 269: 268: 267: 257: 254: 253: 248: 247: 238: 235: 234: 233: 230: 228: 225: 223: 220: 218: 217:Computational 215: 213: 210: 206: 203: 202: 201: 198: 196: 193: 191: 188: 184: 181: 179: 176: 174: 171: 170: 169: 166: 162: 159: 157: 154: 153: 152: 149: 147: 144: 142: 139: 137: 134: 132: 129: 127: 124: 120: 117: 113: 110: 109: 108: 105: 104: 103: 102:Non-Euclidean 100: 98: 95: 94: 90: 84: 83: 76: 72: 69: 67: 64: 63: 61: 60: 56: 52: 48: 43: 39: 38: 35: 31: 19: 3518: 3381:construction 3290: 3284: 3247: 3219:construction 3174:BĆ©zier curve 3128:Pseudosphere 3118:Angle excess 3074:Affine space 2849: 2821:Quasicrystal 2706: 2449:Trigonometry 2380:Euler's line 2354:(trapezium) 2323:Tessellation 2313:Straightedge 2203:Star polygon 2166:Golden angle 2161:Frieze group 2110:Eccentricity 2068:Power center 2043:Circumcircle 1852:Line segment 1774:Frieze group 1623:Law of sines 1550:Measurements 1472:Mirror image 1182: 1001:Parameshvara 814:Parameshvara 584:Dodecahedron 168:Differential 65: 3379:Convex hull 3217:Convex hull 3133:Tractricoid 3037:Cross-ratio 2910:Root system 2888:Hyperboloid 2869:Hypersphere 2725:Convex hull 2700:Stereometry 2648:Deltahedron 2601:Tetrahedron 2541:Hyperboloid 2499:Graham scan 2494:Ray tracing 1929:Translation 1804:Space group 1789:Point group 1738:or "sector" 1731:Secant line 1679:Zero vector 1653:Dot product 1529:Unit circle 1188:mathematics 1126:Present day 1073:Lobachevsky 1060:1700sā€“1900s 1017:Jyeį¹£į¹­hadeva 1009:1400sā€“1700s 961:Brahmagupta 784:Lobachevsky 764:Jyeį¹£į¹­hadeva 714:Brahmagupta 642:Hypersphere 614:Tetrahedron 589:Icosahedron 161:Diophantine 3655:Categories 2915:Similarity 2893:Paraboloid 2747:Hyperplane 2581:Prismatoid 2561:Polyhedron 2556:Paraboloid 1941:Similarity 1914:Reflection 1909:Congruence 1711:Orthogonal 1706:One-to-one 1628:Polar sine 1603:Asymptotes 1462:Handedness 986:al-Yasamin 930:Apollonius 925:Archimedes 915:Pythagoras 905:Baudhayana 859:al-Yasamin 809:Pythagoras 704:Baudhayana 694:Archimedes 689:Apollonius 594:Octahedron 445:Hypotenuse 320:Similarity 315:Congruence 227:Incidence 178:Symplectic 173:Riemannian 156:Arithmetic 131:Projective 119:Hyperbolic 47:Projecting 18:Geometries 3423:Astronomy 3283:Euclid's 3057:Incidence 2883:Ellipsoid 2796:Honeycomb 2690:Sphericon 2668:ellipsoid 2586:Honeycomb 2352:Trapezoid 2338:Wang tile 2328:Prototile 2318:Symmedian 2294:Trapezoid 2277:Rectangle 2181:Involutes 2127:Hyperbola 2048:Concyclic 1951:Homothety 1726:Real axis 1648:Amplitude 1457:Chirality 1103:Minkowski 1022:Descartes 956:Aryabhata 951:Kātyāyana 882:by period 794:Minkowski 769:Kātyāyana 729:Descartes 674:Aryabhata 653:Geometers 637:Tesseract 501:Trapezoid 473:Rectangle 266:Dimension 151:Algebraic 141:Synthetic 112:Spherical 97:Euclidean 3671:Geometry 3666:Outlines 3489:See also 3367:Topology 3285:Elements 3189:B-spline 2920:Zonotope 2878:Spheroid 2835:Polytope 2664:spheroid 2660:3-sphere 2365:Triangle 2132:Parabola 1986:Altitude 1919:Rotation 1857:Parallel 1779:Isometry 1754:Symmetry 1586:Diameter 1184:Geometry 1093:PoincarĆ© 1037:Minggatu 996:Yang Hui 966:Virasena 854:Yang Hui 849:Virasena 819:PoincarĆ© 799:Minggatu 579:Cylinder 524:Diameter 483:Rhomboid 440:Altitude 431:Triangle 325:Symmetry 303:Parallel 288:Diagonal 258:Features 255:Concepts 146:Analytic 107:Elliptic 89:Branches 75:Timeline 34:Geometry 3042:Duality 2864:Quadric 2774:Packing 2752:Lattice 2591:Pyramid 2521:Crystal 2308:Sangaku 2270:Rhombus 2198:Polygon 2115:Ellipse 2093:Annulus 1784:Lattice 1764:Pattern 1636:Vectors 1556:Bearing 1118:Coxeter 1098:Hilbert 1083:Riemann 1032:Huygens 991:al-Tusi 981:KhayyĆ”m 971:Alhazen 938:1ā€“1400s 839:al-Tusi 824:Riemann 774:KhayyĆ”m 759:Huygens 754:Hilbert 724:Coxeter 684:Alhazen 662:by name 599:Pyramid 478:Rhombus 422:Polygon 374:segment 222:Fractal 205:Digital 190:Complex 71:History 66:Outline 3525:  3179:Spline 2873:sphere 2859:Sphere 2720:Convex 2566:Defect 2282:Square 2028:Circle 1576:Radian 1571:Minute 1566:Degree 1139:Gromov 1134:Atiyah 1113:Veblen 1108:Cartan 1078:Bolyai 1047:Sakabe 1027:Pascal 920:Euclid 910:Manava 844:Veblen 829:Sakabe 804:Pascal 789:Manava 749:Gromov 734:Euclid 719:Cartan 709:Bolyai 699:Atiyah 609:Sphere 572:cuboid 560:Volume 515:Circle 468:Square 386:Length 308:Vertex 212:Convex 195:Finite 136:Affine 51:sphere 3457:Lists 3196:NURBS 2905:Torus 2576:Prism 2023:Focus 1862:Angle 1842:Locus 1759:Shape 1561:Angle 1544:Plane 1534:Point 1088:Klein 1068:Gauss 1042:Euler 976:Sijzi 946:Zhang 900:Ahmes 864:Zhang 834:Sijzi 779:Klein 744:Gauss 739:Euler 679:Ahmes 412:Plane 347:Point 283:Curve 278:Angle 55:plane 53:to a 3523:ISBN 3442:The 2898:Cone 2715:Ball 1847:Line 1721:Pole 1052:Aida 669:Aida 628:Four 567:Cube 534:Area 506:Kite 417:Area 369:Line 1539:Ray 891:BCE 379:ray 3657:: 2871:, 2666:, 2662:, 1504:Pi 49:a 3564:e 3557:t 3550:v 3531:. 2707:n 1172:e 1165:t 1158:v 299:) 295:( 77:) 73:( 20:)

Index

Geometries
Geometry
Stereographic projection from the top of a sphere onto a plane beneath it
Projecting
sphere
plane
Outline
History
Timeline
Branches
Euclidean
Non-Euclidean
Elliptic
Spherical
Hyperbolic
Non-Archimedean geometry
Projective
Affine
Synthetic
Analytic
Algebraic
Arithmetic
Diophantine
Differential
Riemannian
Symplectic
Discrete differential
Complex
Finite
Discrete/Combinatorial

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