Knowledge (XXG)

Lamé's special quartic

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17: 271: 170: 92: 312: 121: 148: 305: 336: 249: 298: 178: 331: 44: 32: 278: 166: 16: 245: 239: 124: 282: 162: 100: 241:
The Words of Mathematics: An Etymological Dictionary of Mathematical Terms Used in English
186: 28: 130: 325: 155: 270: 151: 36: 226:, College Outline Series, vol. 108, Barnes & Noble, p. 171 244:, MAA Spectrum, Mathematical Association of America, p. 212, 15: 286: 154:
centered on the origin, and it is a special case of a
133: 103: 47: 197:) on this curve (that is, no point for which both 142: 115: 86: 306: 150:and centered on the origin. This curve is a 8: 313: 299: 132: 102: 78: 65: 52: 46: 189:there is no non-trivial rational point ( 214: 20:Lamé's special quartic with "radius" 1. 7: 267: 265: 285:. You can help Knowledge (XXG) by 14: 87:{\displaystyle x^{4}+y^{4}=r^{4}} 269: 205:are non-zero rational numbers). 1: 238:Schwartzman, Steven (1994), 222:Oakley, Cletus Odia (1958), 123:. It looks like a rounded 353: 264: 224:Analytic Geometry Problems 337:Algebraic geometry stubs 127:with "sides" of length 281:–related article is a 144: 117: 116:{\displaystyle r>0} 88: 25:Lamé's special quartic 21: 179:Fermat's Last Theorem 145: 118: 89: 19: 131: 101: 45: 279:algebraic geometry 165:'s only surviving 143:{\displaystyle 2r} 140: 113: 84: 22: 294: 293: 344: 315: 308: 301: 273: 266: 256: 254: 235: 229: 227: 219: 163:Pierre de Fermat 149: 147: 146: 141: 122: 120: 119: 114: 93: 91: 90: 85: 83: 82: 70: 69: 57: 56: 352: 351: 347: 346: 345: 343: 342: 341: 322: 321: 320: 319: 262: 260: 259: 252: 237: 236: 232: 221: 220: 216: 211: 129: 128: 99: 98: 74: 61: 48: 43: 42: 12: 11: 5: 350: 348: 340: 339: 334: 332:Quartic curves 324: 323: 318: 317: 310: 303: 295: 292: 291: 274: 258: 257: 250: 230: 213: 212: 210: 207: 139: 136: 112: 109: 106: 95: 94: 81: 77: 73: 68: 64: 60: 55: 51: 27:, named after 13: 10: 9: 6: 4: 3: 2: 349: 338: 335: 333: 330: 329: 327: 316: 311: 309: 304: 302: 297: 296: 290: 288: 284: 280: 275: 272: 268: 263: 253: 251:9780883855119 247: 243: 242: 234: 231: 225: 218: 215: 208: 206: 204: 200: 196: 192: 188: 184: 180: 176: 174: 168: 164: 159: 157: 153: 137: 134: 126: 110: 107: 104: 79: 75: 71: 66: 62: 58: 53: 49: 41: 40: 39: 38: 34: 30: 26: 18: 287:expanding it 276: 261: 240: 233: 223: 217: 202: 198: 194: 190: 182: 172: 160: 156:superellipse 96: 29:Gabriel Lamé 24: 23: 161:Because of 326:Categories 209:References 169:, that of 31:, is the 187:rational 175:= 4 case 152:squircle 37:equation 35:of the 248:  125:square 97:where 277:This 181:, if 167:proof 33:graph 283:stub 246:ISBN 201:and 171:the 108:> 185:is 177:of 328:: 193:, 158:. 314:e 307:t 300:v 289:. 255:. 228:. 203:y 199:x 195:y 191:x 183:r 173:n 138:r 135:2 111:0 105:r 80:4 76:r 72:= 67:4 63:y 59:+ 54:4 50:x

Index


Gabriel Lamé
graph
equation
square
squircle
superellipse
Pierre de Fermat
proof
the n = 4 case
Fermat's Last Theorem
rational
The Words of Mathematics: An Etymological Dictionary of Mathematical Terms Used in English
ISBN
9780883855119
Stub icon
algebraic geometry
stub
expanding it
v
t
e
Categories
Quartic curves
Algebraic geometry stubs

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