Hekat
This article includes a improve this article by introducing more precise citations. (August 2017) ) |
The hekat or heqat (transcribed HqA.t) was an
Overview
Until the New Kingdom the hekat was one tenth of a khar, later one sixteenth; while the New Kingdom oipe (transcribed ip.t) contained 4 hekat. It was sub-divided into other units – some for medical prescriptions – the hin (1/10), dja (1/64) and ro (1/320). The dja was recently evaluated by Tanja Pommerening in 2002 to 1/64 of a hekat (75 cc) in the MK, and 1/64 of an oipe (1/16 of a hekat, or 300 cc) in the NK, meaning that the dja was denoted by Horus-Eye imagery. It has been suggested by Pommerening that the NK change came about related to the oipe replacing the hekat as the Pharaonic volume control unit in official lists.
Hana Vymazalova evaluated the hekat unit in 2002 within the
The hekat measurement unit, and its
However that may be at least a sphere that has a circumference 523.5 millimeters will actually have a metric volume about 2.42269 liters or roughly half of a hekat or about one sixtieth of a royal cubic cubit to two parts in a hundred. A modern schoolbook formula has volume=4/3 pi r3 for example. In the case of a land where pi=256/81 or about 3.1604938 a similar result can be obtained with the different formula that has been suggested by Zapassky and others where over there the volume of a sphere is given by the quotient of the cube of the circumference divided by six pi2 (V=c3/6π2)[2] and in that case the ancient Egyptian volume should come to about 2.386954 liters or about 98.5% of its true volume.
References
- ^ "Ancient jugs hold the secret to practical mathematics in Biblical times". EurekAlert!. retrieved March 22, 2020 at about 7:00 AM EST.
- ^ Zapassky E, Gadot Y, Finkelstein I, Benenson I (2012) An Ancient Relation between Units of Length and Volume Based on a Sphere. PLoS ONE 7(3): e33895. https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0033895 retrieved March 22, 2020 at about 7:38 AM EST
External links
- http://www.eurekalert.org/pub_releases/2012-06/afot-ajh060412.php
- Gillings, Richard. Mathematics in the Time of the Pharaohs Dover, reprint from Cambridge, Mass, MIT Press 1972, ISBN 0-486-24315-X.
- Pommerening, Tanja, "Altagyptische Holmasse Metrologish neu Interpretiert" and relevant pharmaceutical and medical knowledge, an abstract, Philipps-Universität, Marburg, 8-11-2004, taken from "Die Altagyptschen Hohlmass" in studien zur Altagyptischen Kulture, Beiheft, 10, Hamburg, Buske-Verlag, 2005
- Vymazalova, H. "The Wooden Tablets from Cairo: The Use of the Grain Unit HK3T in Ancient Egypt." Archiv Orientalai, Charles U., Prague, pp. 27–42, 2002.
- eurekalert.org
- Hekat units in the RMP Archived 2010-06-20 at the Wayback Machine
- Egyptian geometry: Determining the value of π
- Benenson, Itzahk. Some short paper in Hebrew about the noted 2012 pottery volumes studies that looks like it could not possibly have much particulars in it at https://tauweb.tau.ac.il/news/new-method-discovery-ancient-world retrieved March 21, 2020 at about 11:20 PM EST