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Osculating plane

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The osculating plane in the geometry of Euclidean space curves can be described in terms of the
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Differential geometry of curves § Special Frenet vectors and generalized curvatures
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at a point in such a way as to have a second order of
46:. Unsourced material may be challenged and removed. 8: 245:Differential Geometry of Curves and Surfaces 106:Learn how and when to remove this message 235: 126:, and the osculating plane (spanned by 7: 44:adding citations to reliable sources 204:of the tangent and normal vectors. 14: 20: 31:needs additional citations for 1: 247:(2nd ed.). p. 18. 291: 170:at the point. The word 214:Normal plane (geometry) 198:Frenet-Serret formulas 135: 275:Differential geometry 144:differential geometry 121: 243:Do Carmo, Manfredo. 40:improve this article 124:Frenet–Serret frame 142:, particularly in 136: 55:"Osculating plane" 219:Osculating circle 116: 115: 108: 90: 282: 259: 258: 240: 148:osculating plane 111: 104: 100: 97: 91: 89: 48: 24: 16: 290: 289: 285: 284: 283: 281: 280: 279: 265: 264: 263: 262: 255: 242: 241: 237: 232: 210: 183:past participle 156:Euclidean space 122:A space curve, 112: 101: 95: 92: 49: 47: 37: 25: 12: 11: 5: 288: 286: 278: 277: 267: 266: 261: 260: 254:978-0486806990 253: 234: 233: 231: 228: 227: 226: 221: 216: 209: 206: 162:which meets a 114: 113: 28: 26: 19: 13: 10: 9: 6: 4: 3: 2: 287: 276: 273: 272: 270: 256: 250: 246: 239: 236: 229: 225: 222: 220: 217: 215: 212: 211: 207: 205: 203: 199: 194: 192: 188: 184: 180: 177: 173: 169: 165: 161: 157: 153: 149: 145: 141: 133: 129: 125: 120: 110: 107: 99: 88: 85: 81: 78: 74: 71: 67: 64: 60: 57: â€“  56: 52: 51:Find sources: 45: 41: 35: 34: 29:This article 27: 23: 18: 17: 244: 238: 195: 190: 186: 178: 174:is from the 171: 160:affine space 147: 137: 131: 127: 102: 96:January 2023 93: 83: 76: 69: 62: 50: 38:Please help 33:verification 30: 202:linear span 181:which is a 164:submanifold 140:mathematics 230:References 189:, meaning 66:newspapers 179:osculatus 269:Category 208:See also 187:osculari 172:osculate 200:as the 191:to kiss 168:contact 80:scholar 251:  82:  75:  68:  61:  53:  176:Latin 154:in a 152:plane 150:is a 146:, an 87:JSTOR 73:books 249:ISBN 130:and 59:news 185:of 158:or 138:In 42:by 271:: 134:). 257:. 132:N 128:T 109:) 103:( 98:) 94:( 84:· 77:· 70:· 63:· 36:.

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"Osculating plane"
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Frenet–Serret frame
mathematics
differential geometry
plane
Euclidean space
affine space
submanifold
contact
Latin
past participle
Frenet-Serret formulas
linear span
Normal plane (geometry)
Osculating circle
Differential geometry of curves § Special Frenet vectors and generalized curvatures
ISBN
978-0486806990
Category

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