στοιχεῖον, τό:
I) in a form of sun-dial,
the shadow of the gnomon, the length of which in feet indicated the time of day, ὅταν ᾖ δεκάπουν τὸ σ. when the
shadow is ten feet long, [
Refs 5th c.BC+], see [
Refs 4th c.BC+]
II)
element,
II.1) a
simple sound of speech, as the
first component of the syllable, [
Refs 5th c.BC+]; τὸ ῥῶ τὸ σ[
Refs 4th c.BC+] —στοιχεῖα therefore, strictly, were different from
letters (γράμματα), [
Refs 2nd c.BC+], but are frequently not clearly distinguished from them, as by [
Refs 5th c.BC+]; σ. ε ¯
letter ε (in a filing-system), [
Refs 2nd c.AD+]; ἀκουόμενα σ.
letters which are pronounced, [
Refs 2nd c.AD+]; γράμματα and ς. are expressly identified by [
Refs 2nd c.BC+]; the ς. and its name are confused by [
Refs 2nd c.BC+] — κατὰ στοιχεῖον
in the order of the letters, alphabetically, [
Refs 1st c.AD+]
II.2) in Physics, στοιχεῖα were the
components into which matter is ultimately divisible, elements, reduced to four by Empedocles, who called them ῥιζὤματα, the word στοιχεῖα being first used (
accusative to [
Refs 5th c.BC+], τὰ πρῶτα οἱονπερεὶ σ, ἐξ ὧν ἡμεῖς τε συγκείμεθα καὶ τἄλλα [
Refs]; τὰ τῶν πάντων σ. [
Refs 4th c.BC+]; ἄτομα σ. [
Refs 4th c.BC+]; equivalent to ἀρχαί, Thales cited in [
Refs 6th c.BC+] also distinguishes ς. from ἀρχή as less comprehensive, [
Refs]; τὰ σ. ὕλη τῆς οὐσίας [
Refs]; τρία τὰ σ. [
Refs]; distinguished from ἀρχή on other grounds by [
Refs]; ς. used in three senses by Chrysipp, [
Refs]; in Medicine, [
Refs 2nd c.AD+]; ἀνηλεὲς σ, of the sea, [
Refs 2nd c.AD+]; τὸ σ, of the sea, [
Refs 1st c.AD+]; ἄμφω τὰ σ, i.e. land and sea,[
Refs 2nd c.AD+]
II.3) the
elements of proof, e.g. in general reasoning the πρῶτοι συλλογισμοί, [
Refs 4th c.BC+]; in Geometry, the propositions whose proof is involved in the proof of other propositions,[
Refs]; title of geometrical works by Hippocrates of Chios, Leon, Theudios, and Euclid, [
Refs 5th c.AD+]: hence applied to whatever is one, small, and capable of many uses, [
Refs 4th c.BC+]; to whatever is most universal, e.g. the unit and the point,[
Refs]; the line and the circle, [
Refs]; τὸ νόμισμα σ. καὶ πέρας τῆς ἀλλαγῆς coin is the
unit. of exchange, [
Refs]; in Grammar, σ. τῆς λέξεως
parts of speech, [
Refs 1st c.BC+]; but also, the
letters composing a word, [
Refs 2nd c.AD+];
letters of the alphabet, [
Refs 4th c.BC+]; σ. τοῦ λόγου the
elements of speech,
i.e. words, or the
kinds of words, parts of speech, [
Refs 4th c.BC+]
II.4) generally,
elementary or
fundamental principle, ἀρξάμενοι ἀπὸ τῶν σ. [
Refs 5th c.BC+]; τὸ πολλάκις εἰρημένον μέγιστον σ. [
Refs 4th c.BC+]
II.5) ἄστρων στοιχεῖα the
stars, [
NT+4th c.AD+]; especially
planets, στοιχείῳ Διός [
Refs 1st c.AD+]; so perhaps in [
NT]; especially a
sign of the Zodiac, [
Refs 3rd c.AD+]; of the Great Bear, [
Refs]
II.6) σ. ={ἀριθμός}, as
etymology of Στοιχαδεύς, Scholia 2nd c.BC: Dionysius Thrax Grammaticus p.192 H.