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περιστροφή (ἡ)

ΠΕΡΙΣΤΡΟΦΗ

LEXARITHMOS 1373

Peristrophē (περιστροφή), a fundamental concept in ancient Greek cosmology and science, describes the circular motion of celestial bodies around a center. From the astronomical observations of Plato and Aristotle to the geometrical analyses of Euclid, rotation was central to understanding the universe. Its lexarithmos, 1373, suggests a complex harmony and order, linking motion with the perfection of the circle.

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Definition

According to the Liddell-Scott-Jones Lexicon, peristrophē (περιστροφή, ἡ) primarily means "the act of turning round, rotation, circular motion." The word is a compound, derived from the preposition "peri" (περί, around) and the verb "strephō" (στρέφω, to turn, to twist). In classical antiquity, the concept of rotation was central to understanding the cosmos, particularly in astronomy and natural philosophy.

Ancient Greek philosophers and scientists, such as Plato and Aristotle, considered circular motion to be the most perfect and divine form of movement, attributing it to celestial bodies. The rotation of planets and fixed stars around the Earth (in the geocentric model) was a core principle that explained the order and harmony of the universe. This perception profoundly influenced scientific thought for many centuries.

Beyond literal physical motion, peristrophē could also refer to more abstract concepts, such as the "rotation of discourse" (the circular structure of a phrase) or the "rotation of fortune" (the change of events). However, its dominant usage remained in the natural sciences, where it described the motion of spheres and orbits.

Etymology

peristrophē ← peri (preposition) + strephō (verb) ← streph- (Ancient Greek root belonging to the oldest stratum of the language)
The word "peristrophē" is clearly a compound, formed from the preposition "peri" (περί) and the verb "strephō" (στρέφω). The preposition "peri" denotes motion "around" or "concerning," while the verb "strephō" means "to turn, to twist, to change direction." The combination of these two elements creates the concept of motion executed in a circle or around an axis. The root streph- is an Ancient Greek root belonging to the oldest stratum of the language, with broad productivity in words denoting turning, bending, or changing.

Many words in the Greek language are derived from the root streph-, such as the verb strephō, the noun strophē, the adjective streptos, and compound verbs and nouns like anastrophē, epistrophē, diastrophē, and apostrephō. All these words retain the basic meaning of movement, change of direction, or alteration, whether on a physical or metaphorical level.

Main Meanings

  1. Circular motion, rotation — The primary meaning, referring to the movement of a body around a center or axis.
  2. Celestial motion, astronomical orbit — Specifically, the movement of planets and stars, as described in ancient Greek astronomy.
  3. Change, alteration — Metaphorical use for the alteration of states or events, such as the "rotation of fortune."
  4. Circular arrangement, sequence — The arrangement of objects in a circle or the order in which something occurs.
  5. Geometric rotation — The act of rotating a geometric figure around a point.
  6. Rhetorical turn, period — In rhetoric, the circular structure of a phrase or period that returns to its initial idea.
  7. Reversal, return — In certain contexts, it can imply a return to a previous state or position.

Word Family

streph- (root of the verb strephō, meaning "to turn, to change direction")

The Ancient Greek root streph- is exceptionally productive and fundamental for describing movement, change, and direction. It literally means "to turn, to twist, to bend." From this root derive words describing both physical motions (such as rotation) and metaphorical changes (such as a change of mind). The addition of prepositions, such as "peri-", enriches the meaning, imparting the sense of movement "around" or "back/forth." This word family reveals Greek thought on the dynamic nature of the world.

στρέφω verb · lex. 1905
The basic verb of the root, meaning "to turn, to twist, to bend." It forms the basis for all concepts related to movement and change of direction, both literally and metaphorically. It is widely used from Homer onwards.
στροφή ἡ · noun · lex. 1178
The action or result of turning, i.e., "a turn, a bend, a change." In rhetoric, it refers to a "turn of phrase," while in poetry it can be a strophe (stanza).
περιστρέφω verb · lex. 2100
The verb from which peristrophē is derived, meaning "to turn around, to rotate." It describes circular motion around an axis or center, such as the movement of celestial bodies.
ἀναστροφή ἡ · noun · lex. 1230
Means "a turning back, reversal" or "way of life, conduct." The preposition "ana-" suggests upward or backward motion, or repetition. In the New Testament, it often refers to a person's "conduct" or "manner of life."
ἐπιστροφή ἡ · noun · lex. 1273
Means "a turning towards, return, conversion." The preposition "epi-" suggests motion towards or upon something. In philosophy and religion, it is the "conversion" to a new faith or way of life.
διαστροφή ἡ · noun · lex. 1193
Means "perversion, distortion, alteration." The preposition "dia-" suggests separation or change for the worse, i.e., a "turning" away from what is right or normal.
στρεπτός adjective · lex. 1255
Means "that which can be twisted, pliable, flexible" or "twisted, plaited." It describes the quality of being able to change direction or form.
στρόφος ὁ · noun · lex. 1440
Means "a twisting, a cord," often referring to a rope or to pain (e.g., "stomach cramp"). It retains the sense of an intense, often painful, turning or twisting.

Philosophical Journey

The concept of peristrophē, though simple in its description, played a central role in the evolution of ancient Greek science and philosophy, influencing cosmology and physics.

6th-5th C. BCE
Presocratic Philosophers
Early philosophers, such as Anaximander and Heraclitus, began to seek explanations for the circular motions of celestial bodies, laying the groundwork for astronomical thought.
4th C. BCE
Plato and Aristotle
Plato, in his "Republic" and "Timaeus," describes circular motion as the most perfect, attributing it to the world-soul. Aristotle, in "On the Heavens," develops the geocentric model with concentric spheres that rotate, explaining planetary motions.
3rd C. BCE
Euclid
In his "Elements," Euclid lays the geometric foundations for understanding circles and spheres, which are essential for describing rotation. Although not directly referring to astronomy, his work was fundamental.
2nd C. BCE
Hipparchus
The great astronomer Hipparchus developed detailed models for the movements of celestial bodies, using circles and epicycles to explain the apparent rotations of the planets.
2nd C. CE
Ptolemy
In his "Mathematical Syntaxis" ("Almagest"), Ptolemy codified the geocentric system, which relied entirely on the concept of the rotation of celestial spheres around the Earth, and remained the dominant model for 14 centuries.

In Ancient Texts

The concept of peristrophē, particularly in cosmology, is found in significant ancient texts:

«τὴν δὲ τοῦ παντὸς ψυχὴν ὁ θεὸς ἔνειλε μέσῃ τῷ παντὶ καὶ διὰ παντὸς ἔτεινεν, καὶ ἔτι ἔξωθεν αὐτὸν περιέλαβεν, καὶ κύκλῳ δὴ πάντα περιελάσας, μίαν οὐρανίαν καὶ ἔρημον αὐτὸν ἀποφήνας, εἰς ἑαυτὸν στρέφεσθαι διέταξεν.»
«And the soul of the universe the god placed in the middle of the universe and stretched it throughout the universe, and moreover encompassed it from outside, and having driven it all around in a circle, and having declared it to be a single and solitary heaven, he ordered it to turn upon itself.»
Plato, Timaeus 34b
«τῶν δ' ἄλλων ἕκαστον ἕνα κύκλον φέρεται, ὥσπερ καὶ τῶν πλανήτων ἕκαστος, οὐχ ἁπλῶς ἀλλὰ διὰ τῆς τοῦ παντὸς περιστροφῆς.»
«Each of the other bodies moves in a single circle, just like each of the planets, not simply but through the rotation of the whole.»
Aristotle, On the Heavens II.10, 291b.10-12
«ὅτι μὲν οὖν σφαιροειδὴς ὁ οὐρανὸς καὶ περιστρέφεται ὡς σφαῖρα περὶ τὸν διὰ τῶν πόλων αὐτῆς ἄξονα, σχεδὸν ἐκ τῶν πρώτων θεωρημάτων δῆλον.»
«That the heaven is spherical and revolves as a sphere about the axis passing through its poles, is evident almost from the first theorems.»
Ptolemy, Almagest I.3

Lexarithmic Analysis

The lexarithmos of the word ΠΕΡΙΣΤΡΟΦΗ is 1373, from the sum of its letter values:

Π = 80
Pi
Ε = 5
Epsilon
Ρ = 100
Rho
Ι = 10
Iota
Σ = 200
Sigma
Τ = 300
Tau
Ρ = 100
Rho
Ο = 70
Omicron
Φ = 500
Phi
Η = 8
Eta
= 1373
Total
80 + 5 + 100 + 10 + 200 + 300 + 100 + 70 + 500 + 8 = 1373

1373 is a prime number — indivisible, a quality the Pythagoreans considered the mark of pure essence.

The 18 Methods

Applying the 18 traditional lexarithmic methods to the word ΠΕΡΙΣΤΡΟΦΗ:

MethodResultMeaning
Isopsephy1373Prime number
Decade Numerology51+3+7+3 = 14 → 1+4 = 5 — The Pentad, the number of harmony, balance, and movement towards perfection, akin to the circular motion of celestial bodies.
Letter Count1010 letters — The Decad, the number of completeness and totality, reflecting the perfect and perpetual circular motion of the cosmos.
Cumulative3/70/1300Units 3 · Tens 70 · Hundreds 1300
Odd/EvenOddMasculine force
Left/Right HandRightDivine (≥100)
QuotientComparative method
NotarikonΠ-Ε-Ρ-Ι-Σ-Τ-Ρ-Ο-Φ-ΗPanta Eperchetai Rhoe Isorropēmenē Strephei Tēn Rhoe Ouraniōn Phainomenōn Ēthikēn (An interpretative approach connecting motion with cosmic order).
Grammatical Groups4V · 6C4 vowels and 6 consonants. The ratio 2:3 suggests a dynamic balance, characteristic of continuous and harmonious rotation.
PalindromesNo
OnomancyComparative
Sphere of DemocritusDivination with lunar day
Zodiacal IsopsephyMercury ☿ / Virgo ♍1373 mod 7 = 1 · 1373 mod 12 = 5

Isopsephic Words (1373)

Words from the Liddell-Scott-Jones Lexicon with the same lexarithmos (1373) as "peristrophē," but from different roots, offer interesting connections:

γνώρισις
Gnōrisis (recognition, knowledge) connects with peristrophē through the idea of understanding the circular motions of the cosmos. Knowledge of celestial rotations was fundamental to ancient science.
θαυματούργημα
Thaumatourgēma (miracle, wondrous deed) can be associated with peristrophē in terms of the wonder of the order and harmony of celestial movements, often considered a divine work.
συναναφορά
Synanaphorā (reference, relation) can imply the relationship between rotating bodies or the reference to cyclical processes.
τέχνησις
Technēsis (craftsmanship, art) can allude to the "art" with which the Creator set the world in rotation, or to the technical precision required for describing rotations.
φιλοτράπεζος
Philotrapezoz (fond of the table, feasts) offers an interesting contrast, as it refers to an earthly, everyday activity, far removed from celestial rotations.
ὑποδείδω
Hypodeidō (to fear a little, to be timid) can be linked to peristrophē in terms of the sense of awe or fear before the eternal and ceaseless motion of the universe.

The LSJ lexicon contains a total of 59 words with lexarithmos 1373. For the full catalog and AI semantic filtering, see the interactive tool.

Sources & Bibliography

  • Liddell, H. G., Scott, R., Jones, H. S.A Greek-English Lexicon, 9th ed. with revised supplement. Oxford: Clarendon Press, 1996.
  • PlatoTimaeus. Edited by John Burnet, Oxford University Press, 1903.
  • AristotleOn the Heavens. Edited by W. K. C. Guthrie, Loeb Classical Library, Harvard University Press, 1939.
  • PtolemyAlmagest (Mathematical Syntaxis). Translated and annotated by G. J. Toomer, Springer, 1984.
  • Heath, Sir Thomas L.A History of Greek Mathematics, Vol. I & II. Oxford: Clarendon Press, 1921.
  • Dreyer, J. L. E.A History of Astronomy from Thales to Kepler. Dover Publications, 1953.
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