These included Justin Winsor, a historical scholar, Charles Eliot Norton, a Harvard professor, William H. Whitmore, author of Elements of Heraldry, John Denison Chaplin, Jr., an expert on engraving and associate editor of American Cyclopædia, the sculptor Augustus Saint-Gaudens, and even the botanist Asa Gray to help with the olive branch.

* Peach wood branch or peach wood sword: The Jingchu Suishi Ji ( 荊楚歲時記 ) mentioned, " Peach is the essence of the Five Elements.

* Section Eight ( Artemis Fowl ), an elite branch of the fictional Lower Elements Police

Also in 1857, Jackson endorsed Elements of Algebra as " superior to any other work with which I am acquainted on the same branch of science.

Elements: Gules shield ; crossed eagle ; the shield on the eagle's chest: party per fess gules-azure, wearing a golden aurochs, a golden eight-pointed star, a rose, and a moon ( crescent ); in the eagle's claws: a sword ( dexter ) and a mace ( sinister ); in the eagle's beak: an Orthodox cross

Hegel, in his Elements of the Philosophy of Right ( 1820 ), gave it a philosophical justification that concurred with evolving contemporary political theory and the Protestant Christian view of natural law.

The Elements of Classical Architecture ( Classical America Series in Art and Architecture ), W. W. Norton & Co., 2001, ISBN 0-393-73051-4

Antoine Lavoisier, in his famed 1789 Traité Élémentaire de Chimie ( Elements of Chemistry ), refers to Bergmann ’ s work and discusses the concept of elective affinities or attractions.

* Heath, Thomas L. ( 1908 ), " Euclid and the Traditions About Him ", in Euclid, Elements ( Thomas L. Heath, ed.

* Elements ( band ), 1980s – 90s American jazz ensemble

* Elements ( Roger Glover album ), 1978

* The Elements ( Second Person album ), 2007

* The Elements ( Joe Henderson album ), 1973

* " The Elements " ( song ), by Tom Lehrer

* Elements – The Best of Mike Oldfield ( video ), video / DVD edition

The earliest surviving description of the Euclidean algorithm is in Euclid's Elements ( c. 300 BC ), making it one of the oldest numerical algorithms still in common use.

Euclid ( c. 325-265 BC ), of Alexandria, probably a student of one of Plato ’ s students, wrote a treatise in 13 books ( chapters ), titled The Elements of Geometry, in which he presented geometry in an ideal axiomatic form, which came to be known as Euclidean geometry.

The Elements began with definitions of terms, fundamental geometric principles ( called axioms or postulates ), and general quantitative principles ( called common notions ) from which all the rest of geometry could be logically deduced.

In London, in a used bookstore, he came across Gustav Fechner's book Elemente der Psychophysik ( Elements of Psychophysics ), which spurred him to conduct his famous memory experiments.

Leslie did propose a hollow Earth in his 1829 Elements of Natural Philosophy ( pp. 449 – 453 ), but does not mention interior suns.

Marion Zimmer Bradley's The Mists of Avalon has the grail as one of four objects symbolizing the four Elements: the Grail itself ( water ), the sword Excalibur ( fire ), a dish ( earth ), and a spear or wand ( air ).

Following the French committee's findings, in his Elements of the Philosophy of the Human Mind ( 1818 ), Dugald Stewart, an influential academic philosopher of the " Scottish School of Common Sense ", encouraged physicians to salvage elements of Mesmerism by replacing the supernatural theory of " animal magnetism " with a new interpretation based upon " common sense " laws of physiology and psychology.

Newman wrote Elements of the topology of plane sets of points ( 1939 ), a definitive work on general topology, and still highly recommended as an undergraduate text.

Neoclassical economics is frequently dated from William Stanley Jevons's Theory of Political Economy ( 1871 ), Carl Menger's Principles of Economics ( 1871 ), and Léon Walras's Elements of Pure Economics ( 1874 – 1877 ).

Elements of classic screwball comedy often found in more recent films which might otherwise simply be classified as romantic comedies include the " battle of the sexes " ( Down with Love, How to Lose a Guy in 10 Days ), witty repartee ( Down with Love ), and the contrast between the wealthy and the middle class ( You've Got Mail, Two Weeks Notice ).

Elements of the style enjoyed a brief revival in the 1890s with, particularly, chests of drawers and vanities or dressing tables, usually executed in oak and oak veneers.

Elements may include the government's sinister operative from Men in Black, the military bases known as Area 51, RAF Rudloe Manor or Porton Down, a supposed crash site in Roswell, New Mexico, the Rendlesham Forest Incident, a political committee dubbed the " Majestic 12 " or successor of the UK Ministry of Defence's Flying Saucer Working Party ( FSWP ).

*" The Elements ", a mnemonic song of the periodic table by Tom Lehrer

* IPR Toolkit – An Overview, Key Issues and Toolkit Elements ( September 2009 ) by Professor Charles Oppenheim and Naomi Korn at the Strategic Content Alliance

Elements heavier in atomic number than iron, as heavy as uranium and plutonium, are produced by explosive nucleosynthesis in supernovas and other cataclysmic cosmic events.

* The Four Elements In the Western Tradition Essay on Golden Dawn elemental tradition by V. N.

* The Elements: Air Neo-pagan version of " The Ancient Greek Esoteric Doctrine of the Elements " by John Opsopaus.

Elements of the Oral Torah were committed to writing and edited by Judah HaNasi in the Mishnah in 200 CE ; much more of the Oral Torah were committed to writing in the Babylonian and Jerusalem Talmuds, which were edited around 600 CE and 450 CE, respectively.

Proclus introduces Euclid only briefly in his fifth-century Commentary on the Elements, as the author of Elements, that he was mentioned by Archimedes, and that when King Ptolemy asked if there was a shorter path to learning geometry than Euclid's Elements, " Euclid replied there is no royal road to geometry.

There is no mention of Euclid in the earliest remaining copies of the Elements, and most of the copies say they are " from the edition of Theon " or the " lectures of Theon ", while the text considered to be primary, held by the Vatican, mentions no author.

* Proclus, A commentary on the First Book of Euclid's Elements, translated by Glenn Raymond Morrow, Princeton University Press, 1992.

Near the beginning of the first book of the Elements, Euclid gives five postulates ( axioms ) for plane geometry, stated in terms of constructions ( as translated by Thomas Heath ):

Euclid himself seems to have considered it as being qualitatively different from the others, as evidenced by the organization of the Elements: the first 28 propositions he presents are those that can be proved without it.

The very first geometric proof in the Elements, shown in the figure above, is that any line segment is part of a triangle ; Euclid constructs this in the usual way, by drawing circles around both endpoints and taking their intersection as the third vertex.

* The Elements trilogy, three films by Indian film-maker Deepa Mehta

* The Lower Elements, a fictional underground city in the Artemis Fowl world, created by Eoin Colfer

* " The Elements: Fire ", a 1966 song by The Beach Boys

* Elements Box, by Mike Oldfield, four CD edition

Elements inside embedded sequences are referenced by additional bracked index values, thus X refers to the second element contained in the sequence that is the third element of X.

William Maccall, another Unitarian preacher, and probably an acquaintance of Smith, came somewhat later, although influenced by John Stuart Mill, Thomas Carlyle, and German Romanticism, to the same positive conclusions, in his 1847 work " Elements of Individualism ".

( 3 ) The Elements of Astronomy, by Al-Fargani ( Alfraganus ); possibly translated from a Latin version.

( Book X of Euclid's Elements is described by Pappus as being largely based on Theaetetus's work.