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Steinhaus longimeter

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208: 17: 52:. The measurement is done by counting crossings of the curve with grid lines. The number of crossings is the approximate length of the curve in millimetres. 249: 109: 59:, according to which the length of a curve equals the expected number of times it is crossed by a random line. 268: 278: 44:
It is a transparent sheet of three grids, turned against each other by 30 degrees, each consisting of
193: 242: 223: 99: 273: 8: 71:, a mechanical device for measuring curve length by rolling a small wheel along the curve 45: 235: 187: 105: 78: 162: 56: 219: 177: 74: 29: 262: 55:
The design of the Steinhaus longimeter can be seen as an application of the
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Hugo Steinhaus: Zur Praxis der Rectification und zum Längenbegriff,
77:, a similar transparency-based device for estimating area, based on 207: 150: 16: 101:
Measurements from Maps: Principles and Methods of Cartometry
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Comptes Rendus Soc. des Sciences et des Lettres de Wrocław
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Berichte der Sächsischen Akademie der Wissenschaften
166:, 3rd ed. New York: Dover, pp. 105–110, 1999. 260: 243: 194:Download a PDF recreation of the Longimeter 250: 236: 15: 32:, is an instrument used to measure the 261: 97: 104:, Butterworth-Heinemann, p. 48, 48:lines spaced at equal distances 3.82 202: 13: 14: 290: 171: 206: 178:Weisstein, Eric W. "Longimeter." 184:— A Wolfram Web Resource. 121: 91: 39: 1: 84: 222:. You can help Knowledge by 28:, patented by the professor 7: 62: 10: 295: 201: 188:Information about patent 132:82, 120–130, 1930. 155:Colloquium Mathematicum 218:-related article is a 163:Mathematical Snapshots 151:Length, shape and area 98:Maling, D. H. (2016), 21: 19: 26:Steinhaus longimeter 20:Steinhaus longimeter 269:Mathematical tools 22: 279:Mathematics stubs 231: 230: 157:3(1), 1–13, 1954. 34:lengths of curves 286: 252: 245: 238: 210: 203: 160:Hugo Steinhaus: 149:Hugo Steinhaus: 142:Hugo Steinhaus: 135:Hugo Steinhaus: 115: 114: 95: 294: 293: 289: 288: 287: 285: 284: 283: 259: 258: 257: 256: 199: 174: 169: 146:, SĂ©r. B, 1949. 137:Przeglad Geogr. 124: 119: 118: 112: 96: 92: 87: 65: 57:Crofton formula 42: 12: 11: 5: 292: 282: 281: 276: 271: 255: 254: 247: 240: 232: 229: 228: 211: 197: 196: 191: 190:(DRGM 1241513) 185: 173: 172:External links 170: 168: 167: 158: 147: 140: 133: 125: 123: 120: 117: 116: 110: 89: 88: 86: 83: 82: 81: 79:Pick's theorem 75:Dot planimeter 72: 64: 61: 41: 38: 30:Hugo Steinhaus 9: 6: 4: 3: 2: 291: 280: 277: 275: 272: 270: 267: 266: 264: 253: 248: 246: 241: 239: 234: 233: 227: 225: 221: 217: 212: 209: 205: 204: 200: 195: 192: 189: 186: 183: 179: 176: 175: 165: 164: 159: 156: 152: 148: 145: 141: 138: 134: 131: 127: 126: 113: 111:9780080984124 107: 103: 102: 94: 90: 80: 76: 73: 70: 67: 66: 60: 58: 53: 51: 47: 37: 35: 31: 27: 18: 224:expanding it 213: 198: 161: 154: 143: 136: 129: 122:Bibliography 100: 93: 54: 43: 25: 23: 274:Cartography 216:mathematics 40:Description 263:Categories 85:References 69:Opisometer 182:MathWorld 139:21, 1947. 36:on maps. 63:See also 46:parallel 108:  214:This 180:From 220:stub 106:ISBN 24:The 265:: 153:, 50:mm 251:e 244:t 237:v 226:.

Index


Hugo Steinhaus
lengths of curves
parallel
mm
Crofton formula
Opisometer
Dot planimeter
Pick's theorem
Measurements from Maps: Principles and Methods of Cartometry
ISBN
9780080984124
Length, shape and area
Mathematical Snapshots
Weisstein, Eric W. "Longimeter."
MathWorld
Information about patent
Download a PDF recreation of the Longimeter
Stub icon
mathematics
stub
expanding it
v
t
e
Categories
Mathematical tools
Cartography
Mathematics stubs

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