eprintid: 564
rev_number: 3
eprint_status: archive
userid: 2
dir: disk0/00/00/05/64
datestamp: 2010-04-19 16:24:19
lastmod: 2023-02-03 14:30:11
status_changed: 2010-04-19 16:24:19
type: bookPart
metadata_visibility: show
creators_name: Vodolazhskaya, Larisa
title: Reconstruction of Heron's formulas for calculating the volume of vessels
ispublished: pub
subjects: 730
divisions: 209
cterms_swd: Archäologie
cterms_swd: Informatik
cterms_swd: Computerunterstütztes Verfahren
cterms_swd: Computervisualistik
cterms_swd: Interdisziplinäre Forschung
cterms_swd: Keramik
cterms_swd: Amphora
abstract: Heron’s formulas for “pithoid” and “spheroid” pithos, as formulas of volume of the truncated paraboloid and 3/4 of ellipsoid of revolution, have been reconstructed in the present study. Research has proven that the ovoid body of Roman narrow-necked light-clay D-type amphorae is a special case of “pithoid”. With the help of geometrical approximation by conic sections of the profile of these amphorae, it is shown that in antiquity there really were amphorae projected on the basis of conic sections. Their volumes could be calculated with the help of ancient mathematical formulas. The results obtained testify to the influence of antique mathematics on morphology and technology of amphorae design. Formulas for the volume of simple solids of revolution defined by conic sections can be applied in modern calculations of volumes of some types of antique amphorae and in reconstructing their profiles.
abstract_translated_lang: eng
date: 2008
date_type: published
ubhd_kollation: 376 (Abstract)
id_scheme: DOI
id_number: 10.11588/propylaeumdok.00000564
portal_cluster_id: p-caa2007
portal_order: 0125
ppn_swb: 1392993318
own_urn: urn:nbn:de:bsz:16-propylaeumdok-5645
language: eng
bibsort: VODOLAZHSKRECONSTRUC2008
full_text_status: public
place_of_pub: Bonn
book_title: Layers of Perception. Proceedings of the 35th International Conference on Computer Applications and Quantitative Methods in Archaeology (CAA), Berlin, 2.-6. April, 2007 (Koll. Vor- u. Frühgesch. 10)
editors_name: Posluschny, A.
editors_name: Lambers, K.
editors_name: Herzog, I.
themen: T730
oa_type: green
faecher: FKA
faecher: FVFG
citation:   Vodolazhskaya, Larisa  (2008) Reconstruction of Heron's formulas for calculating the volume of vessels.   In: Posluschny, A. ; Lambers, K. ; Herzog, I. (Hrsgg.):  Layers of Perception. Proceedings of the 35th International Conference on Computer Applications and Quantitative Methods in Archaeology (CAA), Berlin, 2.-6. April, 2007 (Koll. Vor- u. Frühgesch. 10).   Bonn 2008 376 (Abstract)        
document_url: https://archiv.ub.uni-heidelberg.de/propylaeumdok/564/1/11_14_vodolazhskaya_calculation.pdf