Est Pas Research Articles

Remarks on Anthimus De observatione ciborum

Previous articleNext article No AccessRemarks on Anthimus De observatione ciborumGordon M. MessingGordon M. Messing Search for more articles by this author PDFPDF PLUS Add to favoritesDownload CitationTrack CitationsPermissionsReprints Share onFacebookTwitterLinkedInRedditEmail SectionsMoreDetailsFiguresReferencesCited by Classical Philology Volume 37, Number 2Apr., 1942 Article DOIhttps://doi.org/10.1086/362595 Views: 1Total views on this site Citations: 4Citations are reported from Crossref PDF download Crossref reports the following articles citing this article:Maciej Kokoszko Kilka słów o pewnym słodkim sosie, czyli o dietetyce i materia medica w De observatione ciborum Antimusa, Prace Historyczne 148, no.33 (Jan 2021): 437–461.https://doi.org/10.4467/20844069PH.21.032.14008Maciej Kokoszko, Jolanta Dybała, Krzysztof Jagusiak, Zofia Rzeźnicka Dieta monastyczna w świetle nauki medycznej. Teodoret z Cyru i medycy o soczewicy, Vox Patrum 62 (Sep 2014): 297–329.https://doi.org/10.31743/vp.3588Maciej Kokoszko, Krzysztof Jagusiak, Zofia Rzeźnicka Rice as a Foodstuff in Ancient and Byzantine "Materia Medica", Studia Ceranea 3 (Dec 2013): 47–68.https://doi.org/10.18778/2084-140X.03.04Bonnie Effros Food as a Source of Healing and Power, (Jun 2019): 55–67.https://doi.org/10.1007/978-1-349-62577-2_5

Note on the Division of Space into Infinitesimal Cubes

The proposition that “the only series of surfaces which, together, divide space into cubes are planes and their electric images” presented itself to me twenty years ago, in the course of a quaternion investigation of a class of Orthogonal Isothermal Surfaces (Trans. R.S.E., Jan. 1872). I gave a second version of my investigation in vol. ix., p. 527, of our Proceedings. Prof. Cayley has since referred me to Note vi., appended by Liouville to his edition of Monge's Application de l'Analyse á, la Géométrie (1850), in which the proposition occurs, probably for the first time. The proof which is there given is very circuitous; occupying some eight quarto pages of small type, although the reader is referred to a Memoir by Lamé for the justification of some of the steps. But Liouville concludes by saying :—“l'analyse précédente qui établit ce fait important 'est pas indigne, ce me semble, de l'attention des géométres.” He had previously stated that he had obtained the result “en profitant d'une sorte de hasard.” As Liouville attached so much importance to the theorem, and specially to his proof of it, it may not be uninteresting if I give other modes of investigation.