ConseggioLigure/seed-instruct-lij-eng huggingface dataset:
Ti peu tradue sto testo in ingleise?
I ebrëi an comensou à deuviâ un scistema scimile (numeri ebrëi) e i exempi ciù antighi che se conosce en de monæe do 100 a.C. ca.
A traduçion in ingleise do testo a l’é:
Jews began using a similar system (Hebrew numerals), with the oldest examples known being coins from around 100 BC.
Traduxi da-o zeneise à l’ingleise:
I Maya de l’America do çentro deuviavan un sistema mesccio de base 18 e base 20, che probabilmente o l’ea stæto ereditou da-i olmechi e che comprendeivan de caratteristiche avansæ comme a nottaçion poxiçionale e un zero.
A traduçion in ingleise do testo a l’é:
The Maya of Central America used a mixed base 18 and base 20 system, possibly inherited from the Olmec, including advanced features such as positional notation and a zero.
Traduxi sto testo da-o ligure à l’ingleise:
A conoscensa de codifiche di groppi e di coî a l’ea stæta soppressa da-i conquistadores spagnòlli do secolo XVI e a no l’é visciua ciù avanti, ben che di senci dispoxitivi de registraçion che s’assomeggian a-i quipu en deuviæ inta region andiña ancon a-a giornâ d’ancheu.
A traduçion in ingleise do testo a l’é:
Knowledge of the encodings of the knots and colors was suppressed by the Spanish conquistadors in the 16th century, and has not survived although simple quipu-like recording devices are still used in the Andean region.
Quæ a l’é a traduçion ingleise de sto testo?
O zero o l’é stæto deuviou pe-a primma vòtta in India do secolo VII d.C. da Brahmagupta.
A traduçion in ingleise do testo a l’é:
Zero was first used in India in the 7th century CE by Brahmagupta.
Comm’à l’é a traduçion ingleise de sto testo?
I studioxi de matematica arabi an esteiso o scitemo fin à comprende e fraçioin deçimæ, e Muḥammad ibn Mūsā al-Ḵwārizmī o l’à scrito unn’importante travaggio à sto propòxito do secolo IX.
A traduçion in ingleise do testo a l’é:
Arabic mathematicians extended the system to include decimal fractions, and Muḥammad ibn Mūsā al-Ḵwārizmī wrote an important work about it in the 9th century.
Ti peu tradue sto testo in ingleise?
O scistema binäio (base 2) o l’é stæto diffuso do secolo XVII da Gottfred Leibniz.
A traduçion in ingleise do testo a l’é:
The binary system (base 2), was propagated in the 17th century by Gottfried Leibniz.
Traduxi sto testo da-o ligure à l’ingleise:
E variabile pe-e quæ l’equaçion a l’à da ëse soluçionâ piggian o nomme de incògnite, e i valoî de incògnite che satisfan l’egualiansa en ciammæ soluçion de l’equaçion.
A traduçion in ingleise do testo a l’é:
The variables for which the equation has to be solved are also called unknowns, and the values of the unknowns that satisfy the equality are called solutions of the equation.
Traduxi sto testo da-o zeneise à l’ingleise:
Unn’equaçion condiçionâ a l’é vea solo che pe di valoî determinæ de variabile.
A traduçion in ingleise do testo a l’é:
A conditional equation is only true for particular values of the variables.
Traduxi in lengua ingleise:
Ben ben de spesso a parte de drita de unn’equaçion a l’é tegnua pe-o zero.
A traduçion in ingleise do testo a l’é:
Very often the right-hand side of an equation is assumed to be zero.
Traduxi in ingleise:
Unn’equaçion a l’é analoga à unna bansa con de peise.
A traduçion in ingleise do testo a l’é:
An equation is analogous to a scale into which weights are placed.
Traduxi in ingleise:
Sta chì a l’é l’idea a-a base da geometrica algebrica, unna ramma importante da matematica.
A traduçion in ingleise do testo a l’é:
This is the starting idea of algebraic geometry, an important area of mathematics.
Traduxi da-o zeneise à l’ingleise:
Pe resòlve de equaçioin de tutte doe e famigge se deuvia de tecniche algoritmiche ò geometriche che ne vëgnan da l’algebra lineare ò da l’analixi matematica.
A traduçion in ingleise do testo a l’é:
To solve equations from either family, one uses algorithmic or geometric techniques that originate from linear algebra or mathematical analysis.
Quæ a l’é a traduçion ingleise de sto testo?
Inta figua, x, y e z en tutte quantitæ despæge (inte sto caxo numeri reali) representæ comme peise rionde, e ciascheduña de x, y e z a l’à un peiso despægio.
A traduçion in ingleise do testo a l’é:
In the illustration, x, y and z are all different quantities (in this case real numbers) represented as circular weights, and each of x, y, and z has a different weight.
Traduxi sto testo da-o zeneise à l’ingleise:
Donca, l’equaçion con R no speçificâ a l’é l’equaçion generale pe-o çercio.
A traduçion in ingleise do testo a l’é:
Hence, the equation with R unspecified is the general equation for the circle.
Traduxi sto testo da-o zeneise à l’ingleise:
O processo pe mezo do quæ che çerca d’attrovâ a soluçion ò, into caxo di parametri, d’esprimme e incògnite pe mezo di parametri, a l’é a resoluçion de l’equaçion.
A traduçion in ingleise do testo a l’é:
The process of finding the solutions, or, in case of parameters, expressing the unknowns in terms of the parameters, is called solving the equation.
Traduxi da-o ligure à l’ingleise:
Co-o moltiplicâ ò dividde tutti doî i loei de unn’equaçion pe unna quantitæ ch’a no segge pægia a-o zero.
A traduçion in ingleise do testo a l’é:
Multiplying or dividing both sides of an equation by a non-zero quantity.
Traduxi in ingleise:
Unn’equaçion algebrica a l’é univariabile s’a comprende solo che unna variabile.
A traduçion in ingleise do testo a l’é:
An algebraic equation is univariate if it involves only one variable.
Traduxi sto testo da-o zeneise à l’ingleise:
Sto formalismo o permette a determinaçion de poxiçioin e de propietæ di feughi de unna cònica.
A traduçion in ingleise do testo a l’é:
This formalism allows one to determine the positions and the properties of the focuses of a conic.
Ti peu tradue sto testo in ingleise?
Sto ponto de vista, deliniou da-o Cartexio, o l’inricchisce e o modifica o tipo de geometria stæta conçepia da-i antighi matematichi greghi.
A traduçion in ingleise do testo a l’é:
This point of view, outlined by Descartes, enriches and modifies the type of geometry conceived of by the ancient Greek mathematicians.
Traduxi da-o ligure à l’ingleise:
Unn’equaçion diofantiña esponençiale a l’é unn’equaçion pe-a quæ i esponenti di termini de l’equaçion peuan ëse de incògnite.
A traduçion in ingleise do testo a l’é:
An exponential Diophantine equation is one for which exponents of the terms of the equation can be unknowns.
Traduxi da-o ligure à l’ingleise:
A geometria algebrica moderna a se basa in sce de tecniche ciù astræte de l’algebra astræta, mascime l’algebra commutativa, co-o lenguaggio e i problemi da geometria.
A traduçion in ingleise do testo a l’é:
Modern algebraic geometry is based on more abstract techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry.
Traduxi sto testo da-o zeneise à l’ingleise:
Un ponto de un cian o l’appartëgne à unna curva algebrica se e seu coordinæ satisfan unn’equaçion polinomiale determinâ.
A traduçion in ingleise do testo a l’é:
A point of the plane belongs to an algebraic curve if its coordinates satisfy a given polynomial equation.
Traduxi sto testo da-o ligure à l’ingleise:
Inta matematica pua, e equaçioin differensiæ vëgnan studiæ da tante prospettive, interessæ pe-o ciù a-e seu soluçioin (l’insemme de fonçioin che satisfan l’equaçion).
A traduçion in ingleise do testo a l’é:
In pure mathematics, differential equations are studied from several different perspectives, mostly concerned with their solutions — the set of functions that satisfy the equation.
Traduxi in ingleise:
E equaçioin differençiale lineare, che an de soluçioin che peuan vegnî sommæ e moltiplicæ pe-i coeffiçenti, en ben definie e compreise, e s’ottëgne de soluçioin esatte de forma serrâ.
A traduçion in ingleise do testo a l’é:
Linear differential equations, which have solutions that can be added and multiplied by coefficients, are well-defined and understood, and exact closed-form solutions are obtained.
Traduxi sto testo da-o ligure à l’ingleise:
E PDE peuan vegnî deuviæ pe descrive unna larga varietæ de fenòmeni comme o son, o cado, l’elettrostatica, l’elettrodinamica, o flusso de fluidi, l’elastiçitæ e a mecanica quantistica.
A traduçion in ingleise do testo a l’é:
PDEs can be used to describe a wide variety of phenomena such as sound, heat, electrostatics, electrodynamics, fluid flow, elasticity, or quantum mechanics.
Comm’à l’é a traduçion ingleise de sto testo?
Unna soluçion a l’é l’assegnaçion de valoî a-e variabile desconosciue ch’a l’assegua a veitæ de l’egualiansa inte l’equaçion.
A traduçion in ingleise do testo a l’é:
A solution is an assignment of values to the unknown variables that makes the equality in the equation true.
Comm’à l’é a traduçion ingleise de sto testo?
L’insemme de tutte e soluçioin de unn’equaçion o l’é dito insemme de soluçioin.
A traduçion in ingleise do testo a l’é:
The set of all solutions of an equation is its solution set.
Comm’à l’é a traduçion ingleise de sto testo?
A varietæ inta qualitæ d’equaçioin a l’é grande, coscì comme i metodi correspondenti.
A traduçion in ingleise do testo a l’é:
The variety in types of equations is large, and so are the corresponding methods.
Traduxi in lengua ingleise:
Sto fæto o peu ëse dovuo a-a mancansa de conoscense matematiche; çerti problemi an attrovou unna soluçion dòppo di sfòrsci duæ pe de çentanæa d’anni.
A traduçion in ingleise do testo a l’é:
This may be due to a lack of mathematical knowledge; some problems were only solved after centuries of effort.
Quæ a l’é a traduçion ingleise de sto testo?
I polinòmmi s’attreuvan inte tante aree da matematica e de sciense.
A traduçion in ingleise do testo a l’é:
Polynomials appear in many areas of mathematics and science.
Ti peu tradue sto testo in ingleise?
Tanti autoî an deuviou ste doe paròlle sensa distinçion.
A traduçion in ingleise do testo a l’é:
Many authors use these two words interchangeably.
Traduxi in lengua ingleise:
In sciô cian formale, o nomme do polinòmio o l’é P, e no P(x), e l’utilizzaçion da nottaçion fonçionale P(x) a remonta à unn’epoca donde a distinçion tra un polinòmio e a fonçion assoçiâ a no l’ea ancon ciæa.
A traduçion in ingleise do testo a l’é:
Formally, the name of the polynomial is P, not P(x), but the use of the functional notation P(x) dates from a time when the distinction between a polynomial and the associated function was unclear.
Comm’à l’é a traduçion ingleise de sto testo?
À tutti i mòddi, o se peu deuviâ inte tutti i dominni donde l’addiçion e a moltiplicaçion en definie (saieiva à dî, un anello chesesegge).
A traduçion in ingleise do testo a l’é:
However, one may use it over any domain where addition and multiplication are defined (that is, any ring).
Traduxi da-o ligure à l’ingleise:
A-i polinòmmi d’entitæ picciña l’é stæto dæto di nommi speçifichi.
A traduçion in ingleise do testo a l’é:
Polynomials of small degree have been given specific names.
Traduxi in ingleise:
O polinòmio 0, ch’o se peu considerâ sensa termini, o piggia o nomme de polinòmio zero.
A traduçion in ingleise do testo a l’é:
The polynomial 0, which may be considered to have no terms at all, is called the zero polynomial.
Quæ a l’é a traduçion ingleise de sto testo?
Da-o momento che o graddo de un polinòmio ch’o no l’à valô de zero o l’é o graddo ciù grande de un atro termine chesesegge, sto polinòmio o l’é de graddo doî.
A traduçion in ingleise do testo a l’é:
Because the degree of a non-zero polynomial is the largest degree of any one term, this polynomial has degree two.
Traduxi in lengua ingleise:
Quande se deuvia pe definî unna fonçion, o dominio o no l’é coscì restreito.
A traduçion in ingleise do testo a l’é:
When it is used to define a function, the domain is not so restricted.
Traduxi in lengua ingleise:
Un polinòmio inte un indeterminou o piggia o nomme de polinòmio univariou; un polinòmio in de ciù de un indeterminou o piggia o nomme de polinòmio moltivariou.
A traduçion in ingleise do testo a l’é:
A polynomial in one indeterminate is called a univariate polynomial, a polynomial in more than one indeterminate is called a multivariate polynomial.
Ti peu tradue sto testo in ingleise?
Into caxo do campo di numeri complesci, i fattoî irreduçibili en lineari.
A traduçion in ingleise do testo a l’é:
In the case of the field of complex numbers, the irreducible factors are linear.
Traduxi in lengua ingleise:
Se o graddo o l’é ciù grande de un, o grafico o no l’à d’ascindoti.
A traduçion in ingleise do testo a l’é:
If the degree is higher than one, the graph does not have any asymptote.
Traduxi in lengua ingleise:
Inte l’algebra elementare se mostra di metodi comme a formola quaddratica pe resòlve tutte e equaçion polinomiale de primmo e segondo graddo inte unna variabile.
A traduçion in ingleise do testo a l’é:
In elementary algebra, methods such as the quadratic formula are taught for solving all first degree and second degree polynomial equations in one variable.
Traduxi da-o ligure à l’ingleise:
À tutti i mòddi, i algoritmi de root-finding peuan vegnî deuviæ pe trovâ de approscimaçioin numeriche de reixe de unn’esprescion polinomiale de un graddo chesesegge.
A traduçion in ingleise do testo a l’é:
However, root-finding algorithms may be used to find numerical approximations of the roots of a polynomial expression of any degree.
Traduxi sto testo in ingleise:
Da-o secolo XVI se conosce de formole pæge (che deuvian de reixe cubbiche in azzonta à quelle quaddræ), ma ben ben ciù complicæ pe de equaçioin de graddo trei e quattro (s’ammie equaçion cubbica e equaçioin quartica).
A traduçion in ingleise do testo a l’é:
Since the 16th century, similar formulas (using cube roots in addition to square roots), but much more complicated are known for equations of degree three and four (see cubic equation and quartic equation).
Traduxi sto testo da-o ligure à l’ingleise:
Do 1830 Évariste Galois o l’à demostrou che a ciù parte de equaçioin de graddo ciù erto che o quattro no se peuan resòlve co-i radicali e o l’à demostrou che pe ògni equaçion se peu deçidde s’a se peu resòlve co-i radicali e, s’a l’é coscì, resòlvila.
A traduçion in ingleise do testo a l’é:
In 1830, Évariste Galois proved that most equations of degree higher than four cannot be solved by radicals, and showed that for each equation, one may decide whether it is solvable by radicals, and, if it is, solve it.
Traduxi in lengua ingleise:
Segge comm’a segge, l’é stæto pubricou de fòrmole pe de equaçioin che se peuan resòlve de graddo 5 ò 6 (s’ammie fonçion quintica e equaçion sessica).
A traduçion in ingleise do testo a l’é:
Nevertheless, formulas for solvable equations of degrees 5 and 6 have been published (see quintic function and sextic equation).
Traduxi da-o zeneise à l’ingleise:
I algoritmi ciù effiçenti permettan de risòlve de lengê (in sce un computer) de equaçioin polinomiali de graddo ciù erto che 1000 (vedde algoritmo de reçerca de reixe).
A traduçion in ingleise do testo a l’é:
The most efficient algorithms allow solving easily (on a computer) polynomial equations of degree higher than 1,000 (see Root-finding algorithm).
Traduxi sto testo da-o ligure à l’ingleise:
Pe un insemme d’equaçioin polinomiale inte varie incògnite l’existe di algoritmi pe stabilî s’aggian un numeo de soluçioin complesse e, se sto numeo o l’é finio, pe carcolâ e soluçioin.
A traduçion in ingleise do testo a l’é:
For a set of polynomial equations in several unknowns, there are algorithms to decide whether they have a finite number of complex solutions, and, if this number is finite, for computing the solutions.
Traduxi da-o ligure à l’ingleise:
Un’equaçion polinomiale pe-a quæ s’é interessæ solo che a-e soluçioin intreghe a piggia o nomme d’equaçion diafantiña.
A traduçion in ingleise do testo a l’é:
A polynomial equation for which one is interested only in the solutions which are integers is called a Diophantine equation.
Comm’à l’é a traduçion ingleise de sto testo?
I coeffiçenti peuan ëse piggiæ comme numeri reali, pe fonçioin con un valô reale.
A traduçion in ingleise do testo a l’é:
The coefficients may be taken as real numbers, for real-valued functions.
Quæ a l’é a traduçion ingleise de sto testo?
St’equivalensa a spiega perché e combinaçioin lineare se ciamma polinòmmi.
A traduçion in ingleise do testo a l’é:
This equivalence explains why linear combinations are called polynomials.
Traduxi da-o zeneise à l’ingleise:
Into caxo di coeffiçenti inte un anello, «no constante» o dev’ëse sostituito da «no constante ò no-unitæ» (tutte doe e definiçioin concòrdan into caxo de coeffiçenti inte un campo).
A traduçion in ingleise do testo a l’é:
In the case of coefficients in a ring, "non-constant" must be replaced by "non-constant or non-unit" (both definitions agree in the case of coefficients in a field).
Traduxi sto testo da-o zeneise à l’ingleise:
Quande i coeffiçenti appartëgnan à di intreghi, à di numeri raçionali ò à un campo finio, l’existe di algoritmi pe verificâ l’irreduçibilitæ e pe carcolâ a fattorizzaçion inte di polinòmmi irreduçibili (s’ammie Fattorizzaçion de polinòmmi).
A traduçion in ingleise do testo a l’é:
When the coefficients belong to integers, rational numbers or a finite field, there are algorithms to test irreducibility and to compute the factorization into irreducible polynomials (see Factorization of polynomials).
Traduxi sto testo da-o ligure à l’ingleise:
O polinòmio caratteristico de unna matrixe ò operatô linieare o contëgne de informaçioin in scî autovaloî de l’operatô.
A traduçion in ingleise do testo a l’é:
The characteristic polynomial of a matrix or linear operator contains information about the operator's eigenvalues.
Traduxi sto testo in ingleise:
À tutti i mòddi, a nottaçion elegante e prattica che deuviemmo ancheu a s’é sviluppâ solo che a-o comenso do secolo XV.
A traduçion in ingleise do testo a l’é:
However, the elegant and practical notation we use today only developed beginning in the 15th century.
Traduxi sto testo da-o ligure à l’ingleise:
Sto fæto o «completa o quaddrou», pe mezo da converscion do lou da manciña inte un quaddrou perfetto.
A traduçion in ingleise do testo a l’é:
This "completes the square", converting the left side into a perfect square.
Traduxi sto testo in ingleise:
O teorema do Cartexo o l’enonçia che pe ògni quattro çerci combaxanti (saieiva à dî tangenti l’un con l’atro), i seu raggi satisfan unna particolâ equaçion quaddratica.
A traduçion in ingleise do testo a l’é:
Descartes' theorem states that for every four kissing (mutually tangent) circles, their radii satisfy a particular quadratic equation.
Traduxi in lengua ingleise:
I studioxi de matematica babiloneixi do 400 a.C. ca. e quelli cineixi do 200 a.C. ca. deuviavan di metodi geometrichi de disseçion pe resòlve de equaçioin quaddratiche con de reixe poxitive.
A traduçion in ingleise do testo a l’é:
Babylonian mathematicians from circa 400 BC and Chinese mathematicians from circa 200 BC used geometric methods of dissection to solve quadratic equations with positive roots.
Traduxi da-o ligure à l’ingleise:
Euclide, o matematico grego, o l’à enonçiou un metodo geometrico ciù astræto verso o 300 a.C.
A traduçion in ingleise do testo a l’é:
Euclid, the Greek mathematician, produced a more abstract geometrical method around 300 BC.
Traduxi sto testo in ingleise:
Al-Khwarizmi o va ciù in là into fornî unna soluçion completa de l’equaçion quaddratica generale, açettando uña ò doe respòste numeriche pe ciascheduña equaçion quaddratica e fornindo a-o mæximo tempo de preuve geometriche.
A traduçion in ingleise do testo a l’é:
Al-Khwarizmi goes further in providing a full solution to the general quadratic equation, accepting one or two numerical answers for every quadratic equation, while providing geometric proofs in the process.
Traduxi in ingleise:
Ciù into detaggio, Abū Kāmil Shujā ibn Aslam (Egitto, secolo X) o l’é stæto o primmo ch’o l’à açettou di numeri irraçionali (de spesso sotta a forma de reixe quaddrâ, cubbica ò reixe quata) comme soluçion d’equaçioin quaddratiche ò comme coeffiçenti inte unn’equaçion.
A traduçion in ingleise do testo a l’é:
Abū Kāmil Shujā ibn Aslam (Egypt, 10th century) in particular was the first to accept irrational numbers (often in the form of a square root, cube root or fourth root) as solutions to quadratic equations or as coefficients in an equation.
Quæ a l’é a traduçion ingleise de sto testo?
O l’à deuviou un meridian primmo pe-e isoe Canäie, de mòddo che tutti i valoî da longitudine fïsan poxitivi.
A traduçion in ingleise do testo a l’é:
He used a prime meridian through the Canary Islands, so that all longitude values would be positive.
Traduxi in lengua ingleise:
I astrònomi indien en mosulmoen an continuo à sviluppâ ste idee, azzonzendo de neuve localitæ e, de spesso, megioando i dæti de Tolomeo.
A traduçion in ingleise do testo a l’é:
Hindu and Muslim astronomers continued to develop these ideas, adding many new locations and often improving on Ptolemy's data.
Traduxi in ingleise:
Inta tarda Etæ de Mezo l’interesse pe-a geografia in occidente o l’é torna montou, con l’aumentâ di viægi, e a scheua araba a l’à comensou à ëse conosciua pe mezo do contatto co-a Spagna e l’Africa do Nòrd.
A traduçion in ingleise do testo a l’é:
In the later Middle Ages, interest in geography revived in the west, as travel increased, and Arab scholarship began to be known through contact with Spain and North Africa.
Traduxi da-o zeneise à l’ingleise:
O Cristòffa Combo o l’à provou doe vòtte à deuviâ a luña in negrisso pe descrovî a seu longitidune; a primma vòtta in sce l’isoa de Saona, a-i 14 de settembre do 1494 (durante o segondo viægio), e a segonda in Giamaica, a-i 29 de frevâ do 1504 (quarto viægio).
A traduçion in ingleise do testo a l’é:
Christopher Columbus made two attempts to use lunar eclipses to discover his longitude, the first in Saona Island, on 14 September 1494 (second voyage), and the second in Jamaica on 29 February 1504 (fourth voyage).
Traduxi da-o zeneise à l’ingleise:
I sviluppi che gh’é stæto inti çinquant’anni apreuvo l’an trasformou da un appægio d’osservaçion à un instrumento esatto de mesuaçion.
A traduçion in ingleise do testo a l’é:
Initially an observation device, developments over the next half century transformed it into an accurate measurement tool.
Traduxi in lengua ingleise:
In sciâ tæra, o periodo de sviluppo di telescòppi e di releui à pendola fin a-a meitæ do secolo XVIII o l’à visto un cresce continuo de localitæ con unna longitudine stæta edeterminâ con unna boña accuratessa, de spesso con di erroî ciù piccin de un graddo, e delongo de dötrei graddi pöcassæ.
A traduçion in ingleise do testo a l’é:
On land, the period from the development of telescopes and pendulum clocks until the mid 18th-Century saw a steady increase in the number of places whose longitude had been determined with reasonable accuracy, often with errors of less than a degree, and nearly always within 2-3°.
Traduxi da-o ligure à l’ingleise:
Fâ de osservaçioin accuræ into mâ remesciou l’é ben ben ciù diffiçile che in sciâ tæra, e i releui à pendola no fonçioñan ben inte quelle condiçioin.
A traduçion in ingleise do testo a l’é:
Making accurate observations in an ocean swell is much harder than on land, and pendulum clocks do not work well in these conditions.
Comm’à l’é a traduçion ingleise de sto testo?
O l’òffre doî livelli de compenso, pe soluçioin tra 1° e 0,5°.
A traduçion in ingleise do testo a l’é:
It offered two levels of rewards, for solutions within 1° and 0.5°.
Traduxi sto testo da-o ligure à l’ingleise:
Sto travaggio o l’é stæto arrembou e compensou con miggiæa de sterliñe da-a Board of Longitude, ma o l’à dovuo combatte pe reçeive di dinæ fin a-a somma mascima de 20.000 sterliñe; in sciâ fin, do 1773 o l’à reçevuo unna somma addiçionale dòppo l’intervento do parlamento.
A traduçion in ingleise do testo a l’é:
This work was supported and rewarded with thousands of pounds from the Board of Longitude, but he fought to receive money up to the top reward of £20,000, finally receiving an additional payment in 1773 after the intervention of parliament.
Traduxi sto testo in ingleise:
E distanse lunæ en vegnue à ëse deuviæ pe commun dòppo o 1790.
A traduçion in ingleise do testo a l’é:
Lunar distances came into general use after 1790.