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The integrant molecules reduce to three forms, the simplest of their kinds: the tetrahedron, the triangular prism and the parallelepiped, with four, five and six faces.
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Formalization: several. As a classification of cleavage solids partly descriptive; as a theory of the building unit refuted (every lattice has a parallelepiped primitive cell).
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There are three kinds of integrant molecule: tetrahedron, triangular prism, parallelepiped
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Haüy RJ, “Traité de minéralogie, tome premier”, Conseil des Mines, Paris (Chez Louis) (1801); Formes primitives, p. 51. Scope: The building unit of crystals.
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Haüy RJ. Traité de minéralogie, tome premier. Conseil des Mines, Paris (Chez Louis) (1801)
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René Just Haüy
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1801
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Volume 1 holds the general theory of crystal structure: integrant molecules, the primitive form, and the laws of decrement first published in the 1784 Essai. The 1784 Essai (archive.org bub_gb_HbJDAAAAcAAJ) was fetched but its eighteenth-century OCR (long s) is too corrupt to quote; see SEARCHES.md. French.
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Public domain (1801).
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Traité de minéralogie, tome premier
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Reading copy of Traité de minéralogie, tome premier
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Page 51 of the reading copy; paragraph 350 of the normalised text 1801-hauy.txt (sha256 75e8725eafc33d75d3da5d556fa40bdfeaf55bd1fcb6fddfa8cdb23a59082d19), produced by build/fetch.py and checked by build/check-quotes.mjs. The text itself is not committed.
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le tétraèdre ou la plus simple des pyramides; le pvisme triangulaire ou le plus simple de tous les prismes, et le parallèlipipède ou le plus simple des solides qui aient leurs faces parallèles deux à deux
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René Just Haüy 1801 claim: There are three kinds of integrant molecule: tetrahedron, triangular prism, parallelepiped
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