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Mathematics in Ethiopia

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475:(church calendar). According to expert Yared Fenta, there are 28 stars for the 28 days, and 91 stars in one season that are dominant groups than billion stars that can be seen in naked eye, and 13 stars dominate the scene. Stars were also used in ancient times to determine the timing of the harvest season or human behavior. 551:
language. The six epagomenal days are added every four years on 29 August of Julian calendar, six months before the Julian leap day. Therefore, 1 Mäskäräm is the first day of the years between 1901 and 2099 inclusively, and falls on 11 September of Gregorian calendar (or 12 September before Gregorian
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fixed the Alexandria Era, which determines Anno Mundi (the year of world) starting from 29 August 5493 BC. After 6th century, the era was used by Egyptian and Ethiopian chronologists. The twelfth 532-year-cycle of this era began on 29 August 360 AD, which is 76 (4×19) years after the Era of Martyrs.
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holiday of Ethiopia and Eritrea. It occurs from 11 September – 12 September except for Gregorian leap years. The date correspondence applies from the Gregorian years 1900 to 2099. The Ethiopian calendar has a leap year every four years, without exception, while the Gregorian calendar has a leap year
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Hand measurements were used in many parts of the country to purchase market goods, such as butter. The concepts of load and capacity were often used in lieu of weight when measuring cheap, bulk commodities, such as grain. More sophisticated and accurate techniques were only used for valuable goods
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based on a single tray subtended from a level with unequal arms, the longer arm counteracting the tray. As the more sensitive of the two instruments, steelyards were used to measure the weight of precious metals and other valuable goods. The use of the steelyard was first mentioned in Johnston's
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The concept of load—a rough measurement based on the average weight carried by a human porter, donkey, mule, or camel—has long been a widely used unit of weight in traditional Ethiopia, due to its natural emergence from traditional transport. Portuguese Jesuit missionary
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Since measurements of weight often require accurate units or standardized scales, they were used less frequently than measurements of capacity (volume) in the past in Ethiopia. Still, there are three basic ways in which weight has been traditionally determined.
651:", also known as Diocletian Era, is mostly used by Eastern Churches and the Coptic Church, and began on 29 August 284. Three months later then the Gregorian and Julian calendars, the difference between the Era of Martyrs and 559:
was developed in 300 BC. Based on lunar-stellar composition, the calendar relies on astronomical observation of the moon in conjunction with seven particular stars of constellations. The Oromo months (based on stars and
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in 525 AD, which placed the Annunciation eight years earlier than had Annianus. This places the Ethiopian calendar about 7–8 years behind the Gregorian calendar, depending on which part of the year is being compared.
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to the existing Diocletian Era (15×19 + 13×19 = 532) to obtain the 532-year medieval Easter cycle, whose first cycle ended with the Era of Martyrs year 247 (13×19), equal to year DXXXI. 532 years is a product of
219:), which are used to measure bars of salt or cotton. This type of scale had three notches for weighing different objects. The first, near the end of piece of wood, was used to weigh heavy objects (also known as 75:
First, an object's lightness or heaviness could be simply assessed by feel (holding in one's hand) or sight (visual approximation). Second, a basic estimation of weight (such as of a load carried by a
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centennial years not divisible by 400. Thus, the date difference between the two calendars increases by about one day per century (or more precisely, one day per non-quadcentennial century).
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Distance from the tip of the middle finger to the tip of the thumb while hand is fully extended. Depending on the size of the hand, it could be anywhere from six to twelve inches.
826: 627:. Thus, the first civil year began seven months earlier, on 29 August 8 AD. This calendar differs from European calendars due to the adoption of subsequent calculation by 763: 919: 104:
noted in the 17th century that "the Emperor 'raises ten or twelve thousand loads of provisions' from State lands", while the chronicle of Emperor
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Distance from the back of the heel to the tip of the big toe. Depending on the size of foot, it could be either a few inches or a dozen or more.
543:, and Lutheran Evangelical Church of Eritrea. Like the Coptic calendar, the Ethiopian calendar has a thirteenth month composed of five or six 892: 351:
Distance from the tip of the elbow to the tip of the middle finger. Depending on the size of the arm, it could be between one and two
536: 289:. The modern type of steelyard balance was introduced by Italians during their second occupation of Ethiopia, and are still used by 91:
such as medicine, gold, and silver. In fact, in the case of gold and silver, weight was essentially considered a concept of value.
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Ethiopians and Eritreans follow Incarnation Era starting from Annulation or Incarnation of Jesus on 25 March 9 AD, calculated by
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or draft animal) might be compared to a fundamentally different but familiar unit of another measure, such as the length of a
914: 750:"Application of Linear Body Measurements for Live Body Weight Estimation of Highland Sheep in Tigray Region, North-Ethiopia" 116:
The balance has been the most renowned instrument within Ethiopian society. It has various terms in native languages: the
516:, the Ethiopian calendar employs leap years, beginning on 29 August or 30 August. The calendar is distinguished from the 544: 617: 168:
of gold for purchase of books. However, the text may be a mistake by a French editor, and actually refer to 10,000
540: 400:
Volume for grain of approximately 50 kg. Depends on the size of the animal (goat or sheep) from which the
249:), was used to measure smaller articles including salt, pepper, flour, coffee, and butter; the third, known as 673: 552:
leap year). For example, the year 2012 is 2005 in the Ethiopian calendar, which began on 11 September 2012.
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which differ from fundamental law; traditionally, scaling and counting values have been described using
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Mathematics is often associated with astrology in traditional Ethiopia. Ethiopian astrology, known as
193:: one to hold the object to be weighted and the other to hold a comparison weight. The second was a 156: 108:(r. 1682–1706) "reveals that taxes on trade were likewise largely based on mule and donkey loads". 83:
or the volume held in a hand. Third, more accurate comparisons of relative weights were done using
51: 730: 648: 520:
by a gap of 7–8 years which results from alternative calculations in determining the date of the
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The following lists are traditional Ethiopian measurements of length and volume.
844: 777: 652: 561: 352: 18: 547:. Months begin on the same days as in the Coptic calendar but are named in the 764:"The counter-balance weight for a steelyard. Drawing by T. Erwin and S. Pulak" 596: 569: 203: 159: 726: 711:"A Preliminary History of Ethiopian Measures, Weights and Values - (Part 3)" 585: 472: 27: 655:
is 285 (15×19) years, caused in 525 AD. Dionysus Exiguus decided to add 15
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Two types of weighting instruments were used. The first was a conventional
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such as goats, mules, sheep, or camels, and in modern times, steelyards.
47: 31: 22: 734: 710: 532: 105: 479: 43: 39: 504:, also known as Ge'ez calendar, was adapted from the Alexandrian or 199: 328: 190: 434:
is anywhere from two to several gallons (depending on size); a
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Distance from the tip of the index finger to the first joint (
80: 452:
Unit of volume that changes based on item being measure.
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Distance of about a yard. Used to measure woven fabrics.
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Traditional scales are known by various names, such as
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Ethiopia: The Land, Its People, History and Culture
827:"Ethiopia: Talisman Zodiac With Visual Performance" 189:consisting of two equal-length lever arms with two 635:In the past, numbering era was widely used in the 426:Containers of liquids used to measure volume. A 144: 206:, where he recorded "a rude kind of balance". 268: 256: 162:(1540–1559), in which the ruler spent 10,000 8: 471:, which is known as Ethiopian astrology and 234: 382:Traditional Ethiopian volume measurements 305:Traditional Ethiopian length measurements 748:Tadesse Tassew Alemayehu (17 July 2022). 672:Around 400 AD, an Alexandrian monk named 527:The Ethiopian calendar is also used as a 664:of 19 years and Solar cycle of 28 days. 380: 303: 686: 155:) is first mentioned by the chronicle 7: 881:Mekonnen, Yohannes K. (April 2013). 876: 874: 872: 870: 868: 866: 864: 704: 702: 700: 698: 696: 694: 692: 690: 293:merchants for fruit and vegetables. 26:have related to various aspects of 920:Science and technology in Ethiopia 14: 668:Anno Mundi according to Panodoros 537:Eritrean Orthodox Tewahedo Church 16:Since ancient times, traditional 778:"Systems of Measure in Ethiopia" 508:which in turn derived from the 478:Aside from this, Ethiopia used 297:Length and volume measurements 198:early-19th century account of 1: 621: 802:"Ethiopian Astronomy/Zodiac" 715:Journal of Ethiopian Studies 535:Christians belonging to the 164: 151: 139: 122: 50:. Ethiopians used alternate 709:PANKHURST, RICHARD (1970). 284: 276: 263: 251: 228: 221: 211: 170: 936: 489: 273:), was equal to half of a 145: 131: 438:is about 20–30 litres; a 269: 257: 216: 179: 225:); the second, known as 541:Eastern Catholic Church 34:, and measurements of 915:Education in Ethiopia 490:Further information: 430:is about a litre; an 112:Scales and steelyards 887:. New Africa Press. 806:An Ethiopian Journal 782:abyssiniagateway.net 482:as fortune telling. 442:is several gallons. 281:and a quarter of an 87:or other apparatus. 52:units of measurement 591: 529:liturgical calendar 383: 306: 36:physical properties 649:Era of the Martyrs 643:Era of the Martyrs 518:Gregorian calendar 502:Ethiopian calendar 492:Ethiopian calendar 381: 304: 894:978-9987-16-024-2 604:every four years 510:Egyptian calendar 456: 455: 379: 378: 195:steelyard balance 137: 102:Manuel de Almeida 927: 899: 898: 878: 859: 858: 856: 855: 841: 835: 834: 823: 817: 816: 814: 813: 798: 792: 791: 789: 788: 774: 768: 767: 760: 754: 753: 745: 739: 738: 706: 637:Aksumite Kingdom 629:Dionysus Exiguus 626: 623: 465:hasabe kewakibit 384: 307: 287: 279: 272: 271: 266: 260: 259: 254: 248: 245: 242: 239: 236: 231: 224: 218: 214: 181: 173: 167: 154: 148: 147: 142: 136:romanized:  135: 133: 125: 935: 934: 930: 929: 928: 926: 925: 924: 905: 904: 903: 902: 895: 880: 879: 862: 853: 851: 843: 842: 838: 833:. 17 July 2022. 825: 824: 820: 811: 809: 800: 799: 795: 786: 784: 776: 775: 771: 766:. 17 July 2022. 762: 761: 757: 747: 746: 742: 708: 707: 688: 683: 670: 645: 624: 614: 594: 545:epagomenal days 514:Julian calendar 506:Coptic calendar 498: 488: 461: 299: 246: 243: 240: 237: 114: 97: 69: 64: 12: 11: 5: 933: 931: 923: 922: 917: 907: 906: 901: 900: 893: 860: 836: 818: 793: 769: 755: 740: 685: 684: 682: 679: 669: 666: 657:Metonic cycles 644: 641: 620:of Alexandria 613: 610: 593: 592:New Year's Day 590: 557:Oromo calendar 496:Oromo calendar 487: 484: 460: 457: 454: 453: 450: 444: 443: 424: 406: 405: 398: 392: 391: 388: 377: 376: 373: 367: 366: 363: 357: 356: 349: 343: 342: 339: 333: 332: 321: 315: 314: 311: 298: 295: 113: 110: 96: 93: 68: 65: 63: 60: 13: 10: 9: 6: 4: 3: 2: 932: 921: 918: 916: 913: 912: 910: 896: 890: 886: 885: 877: 875: 873: 871: 869: 867: 865: 861: 850: 846: 840: 837: 832: 828: 822: 819: 807: 803: 797: 794: 783: 779: 773: 770: 765: 759: 756: 751: 744: 741: 736: 732: 728: 724: 720: 716: 712: 705: 703: 701: 699: 697: 695: 693: 691: 687: 680: 678: 675: 667: 665: 663: 662:Metonic cycle 658: 654: 650: 642: 640: 638: 633: 630: 625: 400 AD 619: 611: 609: 607: 602: 598: 589: 587: 583: 579: 575: 571: 567: 563: 558: 553: 550: 546: 542: 538: 534: 530: 525: 523: 519: 515: 511: 507: 503: 497: 493: 485: 483: 481: 480:zodiac system 476: 474: 470: 467:, is part of 466: 458: 451: 449: 446: 445: 441: 437: 433: 429: 425: 423: 419: 415: 411: 408: 407: 403: 399: 397: 394: 393: 389: 386: 385: 374: 372: 369: 368: 364: 362: 359: 358: 354: 350: 348: 345: 344: 340: 338: 335: 334: 330: 327:). About one 326: 322: 320: 317: 316: 312: 309: 308: 302: 296: 294: 292: 288: 286: 280: 278: 265: 253: 232: 230: 223: 213: 207: 205: 201: 196: 192: 188: 183: 177: 172: 166: 161: 158: 153: 141: 129: 124: 119: 111: 109: 107: 103: 94: 92: 88: 86: 82: 78: 73: 66: 61: 59: 57: 56:draft animals 53: 49: 45: 41: 37: 33: 29: 25: 24: 20: 883: 852:. Retrieved 849:www.geez.org 848: 845:"Numerology" 839: 830: 821: 810:. Retrieved 808:. 2008-09-14 805: 796: 785:. Retrieved 781: 772: 758: 743: 721:(1): 45–85. 718: 714: 671: 646: 634: 615: 605: 595: 581: 573: 565: 562:lunar phases 554: 526: 522:Annunciation 499: 477: 469:bahire hasab 468: 464: 462: 447: 439: 435: 431: 427: 421: 417: 413: 409: 401: 395: 370: 360: 346: 336: 324: 318: 300: 282: 274: 226: 208: 184: 115: 98: 89: 74: 70: 62:Measurements 17: 15: 653:Anno Domini 566:Bittottessa 512:. Like the 19:mathematics 909:Categories 854:2022-07-17 812:2022-07-17 787:2022-07-17 681:References 597:Enkutatash 570:Triangulum 524:of Jesus. 404:was made. 285:amole masa 222:amole mass 215:(Amharic: 212:amole masa 204:Aliyu Amba 202:market in 160:Gelawdewos 143:; plural: 831:allafrica 727:0304-2243 674:Panodorus 586:Aldebaran 459:Astrology 448:Feresulla 81:human arm 28:astrology 735:41965801 618:Annianus 601:New Year 578:Pleiades 533:Eritrean 486:Calendar 473:computus 436:gerwoina 418:Gerwoina 48:distance 38:such as 32:calendar 23:Ethiopia 599:is the 580:), and 402:dawulla 396:Dawulla 238:  187:balance 176:Amharic 165:madalew 157:Emperor 152:madalew 140:madelot 123:madalew 106:Iyasu I 891:  733:  725:  606:except 564:) are 432:ensira 420:, and 414:Ensira 390:Notes 387:Units 371:Chamma 337:Sinzir 313:Notes 310:Units 291:Gurage 277:senbet 229:senbet 217:አሞሌ ማሳ 200:Shewan 85:scales 77:porter 67:Weight 46:, and 44:weight 40:length 30:, the 731:JSTOR 574:Camsa 549:Ge'ez 428:tassa 410:Tassa 325:Angua 261:) or 252:bäkus 244:notch 191:trays 171:waqet 128:Ge'ez 120:word 118:Ge'ez 889:ISBN 723:ISSN 612:Eras 582:Bufa 555:The 531:for 500:The 494:and 361:Aarb 353:feet 347:Kend 329:inch 264:just 235:lit. 146:መዳልው 132:መድሎት 95:Load 588:). 572:), 440:gan 422:Gan 319:Azq 258:በኩሽ 182:). 180:ወቄት 21:in 911:: 863:^ 847:. 829:. 804:. 780:. 729:. 717:. 713:. 689:^ 639:. 622:c. 539:, 416:, 412:, 355:. 331:. 270:ኩሽ 178:: 149:, 134:, 130:: 42:, 897:. 857:. 815:. 790:. 752:. 737:. 719:8 647:" 584:( 576:( 568:( 267:( 255:( 247:' 241:' 233:( 174:( 126:(

Index

mathematics
Ethiopia
astrology
calendar
physical properties
length
weight
distance
units of measurement
draft animals
porter
human arm
scales
Manuel de Almeida
Iyasu I
Ge'ez
Ge'ez
Emperor
Gelawdewos
Amharic
balance
trays
steelyard balance
Shewan
Aliyu Amba
Gurage
inch
feet
computus
zodiac system

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