sebar-e sé-pahlu-barâbar (#)
Fr.: triangle équilatéral
A triangle having three equal sides.
From L. æquilibrium, from æquus, → equal + libra "a balance, scale."
Tarâzmandi, noun of tarâzmand "in equilibrium," from tarâz "level; a level" + possession suffix -mand. The first component from tarâzu "balance, scales," Mid.Pers. tarâzên-, taraênidan "to weigh;" Proto-Iranian *tarāz-, from *tarā- "balance, scale" (cf. Skt. tulā- "scales, balance, weight," from tul- "to weigh, make equal in weight, equal," tolayati "weighs, balances;" L. tollere "to raise;" Gk. talanton "balance, weight," Atlas "the Bearer" of Heaven;" Lith. tiltas "bridge;" PIE base telə- "to lift, weigh") + Av. az- "to convey, conduct, drive," azaiti drives" (cf. Skt. aj- "to dive, sling," ájati "drives," ajirá- "agile, quick;" Gk. agein "to lead, guide, drive, carry off;" L. agere "to do, set in motion, drive," from PIE root *ag- "to drive, move," → act).
naheš-e tarâzmandi (#)
Fr.: position d'équilibre
The position of an oscillating body at which no net force acts on it.
estât-e tarâzmandi, hâlat-e ~
Fr.: état d'équilibre
Of or relating to an equinox or to the equality of day and night.
Adjective of → equinox.
Fr.: colure d'équinoxe
The great circle of the celestial sphere through the celestial poles and equinoxes; the hour circle of the vernal equinox. → colure.
Fr.: points équinoxiaux
One of the two points of intersection of the ecliptic and the celestial equator. Same as equinox.
1) One of the two points on the → celestial sphere
where the → celestial equator intersects the
→ ecliptic, that is when the apparent
→ ecliptic longitude of the Sun is 0° or 180°.
M.E., from O.Fr. équinoxe, from M.L. equinoxium "equality of night (and day)," from L. æquinoctium, from æquus, "→ equal" + nox "→ night" (gen. noctis). In Gk. isimeria "equal day," from isos "equal," → iso-, + hemera "day."
From hamug, → equal, + -ân suffix denoting time and place.
equipartition of energy
Fr.: équipartition de l'énergie
1) General: Equal sharing of the → total energy among all
→ components of a → system.
Fr.: surface équipotentielle
An imaginary surface surrounding a body, or group of bodies, over which the gravitational field is of constant strength and, at all points, is directed perpendicular to the surface. For a single star the surface is spherical. In a close binary system the equipotential surface of the components interact to become hourglass-shaped. → Roche lobe; → Lagrangian points.
The state or fact of being equivalent; equality in value, force, significance, etc. → covalence.
From M.F. from M.L. æquivalentia, from L. æquivalent-, → equivalent.
Hamug-arzi, noun of hamug-arz, → equivalent.
Fr.: principe d'équivalence
A fundamental concept of physics, put forward by A. Einstein, that states that gravitational and inertial forces are of a similar nature and indistinguishable. In other words, acceleration due to gravity is equivalent to acceleration due to other forces, and gravitational mass is the same as inertial mass. Same as the → principle of equivalence.
Equal in value, measure, force, effect, significance, etc.
From L.L. æquivalentem (nominative æquivalens) "equivalent," p.p. of æquivalere "be equivalent," from L. æquus, → equal + valere "to be worth; be strong."
Hamug-arz, from hamug-, → equi-, + arz stem of arzidan "to be worth," arzân "worthy; of small value, cheap," arj "esteem, honour, price, worth;" Mid.Pers. arz "value, worth," arzidan "be worth," arzân "valuable;" Av. arəjaiti "is worth," arəja- "valuable," arəg- "to be worth;" cf. Skt. arh- "to be worth, to earn," árhant- "worthy person;" Gk. alphanein "to bring in as profit," alphein "to ear, obtain;" Lith. algà "salary, pay;" PIE base *algwh- "to earn; price, value."
Fr.: profondeur équivalente
A measure of the number of particles passing a given point in a → planetary ring per unit time. It is obtained by multiplying the physical width of the ring by its average → optical depth. For the variable-width eccentric rings of → Uranus, equivalent depth remains almost constant around a given ring (Ellis et al., 2007, Planetary Ring Systems, Springer).
Complete set of points in any given space group which are obtained by performing the symmetry operations of the space group on a single point (x, y, z).
Fr.: largeur équivalente
1) A measure of the → strength of a
→ spectral line. The equivalent width is the width of a
→ rectangle centered on a spectral line that, on a plot of
→ intensity against → wavelength,
has the same → area as the line.
Pâré asb (#), Korré Asb
Fr.: Petit Cheval
The Foal. A small, faint constellation in the northern hemisphere, lying between → Delphinus and → Pegasus, at 21h 10m right ascension, 5° north declination. Its brightest star, Kitalpha, has a visual magnitude of 3.9. Abbreviation: Equ; Genitive: Equulei.
L. Equuleus "little horse," diminutive of equus "horse," from PIE base *ekwos "horse" (cf. Pers. asb; Av. aspa- "horse;" Skt. áśva-; Gk. hippos; O.E. eoh; Arm. ēš). The origin of Equuleus is not clear. It is not mentioned in any classical Gk. or Roman myths. The first mention of the constellation was in Ptolemy's catalog, where it is referred to as Hippou Protome "the bust or upper part of an animal figure." Some mythologists have associated Equuleus with the foal Celeris, the brother of the winged horse Pegasus, given to Castor by Mercury.
Pâré asb "part of a horse," from
pâré "piece, part, portion, fragment" (Mid.Pers. pârag
"piece, part, portion; gift, offering, bribe;" Av. pāra- "debt," from
par- "to remunerate, equalize; to condemn;"
PIE *per- "to sell, hand over, distribute; to assign;" cf. L. pars
"part, piece, side, share," portio "share, portion;" Gk. peprotai
"it has been granted;" Skt. purti- "reward;" Hitt. pars-, parsiya-
"to break, crumble") + asb "horse," Mid.Pers. asb;
O.Pers. asa- "horse;" Av. aspa-
"horse," aspā- "mare," āsu.aspa- "unbound horse;"
Skt. áśvā- "mare;" cognate with L. equus, as above.
General: A period of time marked by a distinctive character,
From L.L. æra, era "fixed date, era, epoch from which time is reckoned," probably identical with L. æra "counters used for calculation," plural of aes "brass, money," from PIE *aus- "gold" (cf. Av. aiiah- "metal," aiianhaēna- "made of metal;" Skt. áyas- "metal;" O.H.G. ēr "ore;" O.E. ora "ore, unworked metal;" Ger. ehern "brazen").
Dowrân, from Ar. daur "age, time; revolution."
Fr.: méthode d'Eratosthène
A simple way of calculating the Earth's → circumference using two sticks and two theorems of the → Euclidean geometry. Eratosthenes calculated the length of a → meridian arc by measuring the shadow cast by a vertical → gnomon at noon on the → summer solstice. In Cyene (→ tropic of Cancer), no shadow is cast whereas in Alexandria, further north, the shadow is cast at an angle of 1/50 of 360° (measured using a → scaphe), or 7.2°, from the vertical. The circumference is therefore equal to 50 times the distance between the two cities. The distance from Syene to Alexandria was 5,000 stadia, which when multiplied by 50 gives the measure for the Earth's circumference, 250,000 stadia. Estimating the accuracy of this result is not easy because the unit of stadium is not uniquely defined in the ancient world. The most likely reconstruction puts Eratosthenes' stadium in the range 155-185m, implying an error of about 3% below or 15% above the true value. The modern value for the equatorial circumference of the Earth is 40,075 km. As scholars have pointed out, Eratosthenes' experiment was marred by several errors: Syene is not on the Tropic of cancer, it is not on the same meridian as Alexandria, and the distance between the two cities is less than he estimated. But the errors tended to cancel each other out, so his estimate was relatively accurate. See also: → Mamun's method, → Biruni's method.
Eratosthenes (c. 276-194 B.C.), Gk. mathematician, astronomer, and geographer. He studied in Athens and later became a librarian in Alexandria. His treatise On the Measuring of the Earth is lost. The account of his experiment has been preserved in Cleomedes (probably first century A.D.). See also → sieve of Eratosthenes; → experiment.
From Gk. ergon "work," from PIE base *werg- "to work" (cf. Av. varəz- "to work, do, perform, exercise;" Mod.Pers. varz-, varzidan "to labor, exercise, practise;" Arm. gorc "work;" Lith. verziu "tie, fasten, squeeze," vargas "need, distress;" Goth. waurkjan; O.E. wyrcan "work," wrecan "to drive, hunt, pursue").