Knowledge (XXG)

Euclides Danicus

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languished in obscurity, possibly caused by its choice of language, until its rediscovery in 1928 in a bookshop in Copenhagen. Until then, the Mohr–Mascheroni theorem had been credited to
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Only eight copies of the original publication of the book are known to survive. In 2005, one of these original copies was sold at auction, to
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using a compass alone. In the second part, he includes some other specific constructions, including some related to the mathematics of the
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The book is divided into two parts. In the first part, Mohr shows how to perform all of the constructions of
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made its existence much more widely known. The Danish version was republished in facsimile in 1928 by the
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Andersen, Kirsti (1980), "An Impression of Mathematics in Denmark in the Period 1600–1800",
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Andersen, Kirsti; Meyer, Henrik (1985), "Georg Mohr's three books and the
177:(July 2014), "About the cover: Two theorems on geometric constructions", 335: 63: 405:
https://commons.wikimedia.org/File:Georg_Mohr%27s_Euclides_Danicus.pdf
392: 53: 296: 21:(the Danish Euclid) is one of three books of mathematics written by 384: 365:, Amsterdam 1672 by Georg Mohr; Johannes Hjelmslev; 41:respectively. It contains the first proof of the 321:(1930), "Literaturberichte: Euclides Danicus", 367:Beiträge zur Lebensbeschreibung von Georg Mohr 107:calls a "ridiculously low price": US$ 13,000. 243:Bulletin of the American Mathematical Society 179:Bulletin of the American Mathematical Society 25:. It was published in 1672 simultaneously in 8: 86:Royal Danish Academy of Sciences and Letters 422:Mathematisch-Physikalische Semesterberichte 126:GegenĂĽbung auf Compendium Euclidis Curiosi 334: 254: 241:(1930), "Book Review: Euclides Danicus", 190: 403:Wikicommons has a copy of the original: 416:ZĂĽhlke, P. (1956), "Auf den Spuren des 116: 281:(1929), "A Forerunner of Mascheroni", 323:Monatshefte fĂĽr Mathematik und Physik 233: 231: 229: 169: 167: 165: 163: 161: 159: 49:can also be done with compass alone. 7: 369:(1640-1697) by Johannes Hjelmslev", 96:translation was published in 1929. 220:10.1111/j.1600-0498.1980.tb00381.x 142:10.1111/j.1600-0498.1985.tb00833.x 14: 256:10.1090/S0002-9904-1930-04976-9 192:10.1090/S0273-0979-2014-01458-2 1: 284:American Mathematical Monthly 482: 456:Danish non-fiction books 47:compass and straightedge 461:Dutch non-fiction books 175:Alexanderson, Gerald L. 82:Nathan Altshiller Court 43:Mohr–Mascheroni theorem 105:Gerald L. Alexanderson 88:, with a foreword by 336:10.1007/BF01696783 90:Johannes Hjelmslev 74:Lorenzo Mascheroni 466:Mathematics books 101:Fry's Electronics 473: 436: 418:Euclides Danicus 397: 395: 363:Euclides danicus 355: 349: 347: 338: 315: 309: 307: 275: 269: 267: 258: 235: 224: 222: 203: 197: 195: 194: 171: 154: 152: 121: 70:Euclides Danicus 18:Euclides Danicus 481: 480: 476: 475: 474: 472: 471: 470: 441: 440: 415: 412: 410:Further reading 401: 400: 357: 356: 352: 317: 316: 312: 297:10.2307/2298942 279:Cajori, Florian 277: 276: 272: 237: 236: 227: 205: 204: 200: 173: 172: 157: 123: 122: 118: 113: 12: 11: 5: 479: 477: 469: 468: 463: 458: 453: 443: 442: 439: 438: 411: 408: 399: 398: 385:10.1086/347140 379:(1): 167–170, 359:Sarton, George 350: 310: 291:(7): 364–365, 270: 225: 214:(1): 316–334, 198: 185:(3): 463–467, 155: 136:(2): 139–144, 115: 114: 112: 109: 78:Florian Cajori 13: 10: 9: 6: 4: 3: 2: 478: 467: 464: 462: 459: 457: 454: 452: 449: 448: 446: 435: 431: 427: 423: 419: 414: 413: 409: 407: 406: 394: 390: 386: 382: 378: 374: 373: 368: 364: 360: 354: 351: 346: 342: 337: 332: 328: 325:(in German), 324: 320: 314: 311: 306: 302: 298: 294: 290: 286: 285: 280: 274: 271: 266: 262: 257: 252: 248: 244: 240: 234: 232: 230: 226: 221: 217: 213: 209: 202: 199: 193: 188: 184: 180: 176: 170: 168: 166: 164: 162: 160: 156: 151: 147: 143: 139: 135: 131: 127: 120: 117: 110: 108: 106: 102: 97: 95: 91: 87: 83: 79: 75: 71: 67: 65: 61: 60: 55: 50: 48: 44: 40: 36: 32: 28: 24: 20: 19: 425: 421: 417: 402: 376: 370: 366: 362: 353: 326: 322: 313: 288: 282: 273: 246: 242: 239:Court, N. A. 211: 207: 201: 182: 178: 133: 129: 125: 119: 98: 69: 68: 58: 51: 17: 16: 15: 428:: 118–119, 103:, for what 451:1672 books 445:Categories 249:(7): 471, 111:References 27:Copenhagen 23:Georg Mohr 361:(1936), " 329:(1): A3, 208:Centaurus 130:Centaurus 31:Amsterdam 92:, and a 59:Elements 434:0082435 345:1549801 305:1521787 265:1561975 150:0825846 64:sundial 432:  393:225067 391:  343:  319:Menger 303:  263:  148:  94:German 54:Euclid 35:Danish 389:JSTOR 39:Dutch 33:, in 372:Isis 80:and 37:and 29:and 420:", 381:doi 331:doi 293:doi 251:doi 216:doi 187:doi 138:doi 128:", 56:'s 447:: 430:MR 424:, 387:, 377:26 375:, 341:MR 339:, 327:37 301:MR 299:, 289:36 287:, 261:MR 259:, 247:36 245:, 228:^ 212:24 210:, 183:51 181:, 158:^ 146:MR 144:, 134:28 132:, 66:. 437:. 426:5 396:. 383:: 348:. 333:: 308:. 295:: 268:. 253:: 223:. 218:: 196:. 189:: 153:. 140::

Index

Georg Mohr
Copenhagen
Amsterdam
Danish
Dutch
Mohr–Mascheroni theorem
compass and straightedge
Euclid
Elements
sundial
Lorenzo Mascheroni
Florian Cajori
Nathan Altshiller Court
Royal Danish Academy of Sciences and Letters
Johannes Hjelmslev
German
Fry's Electronics
Gerald L. Alexanderson
doi
10.1111/j.1600-0498.1985.tb00833.x
MR
0825846






Alexanderson, Gerald L.
doi

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