Thābit's formula was rediscovered by Fermat ( 1601 – 1665 ) and Descartes ( 1596 – 1650 ), to whom it is sometimes ascribed, and extended by Euler ( 1707 – 1783 ).

The equation was eventually solved by Euler in the early 18th century, who also solved a number of other Diophantine equations.

The formula was discovered independently by Leonhard Euler and Colin Maclaurin around 1735 ( and later generalized as Darboux's formula ).

Euler's conjecture is a disproved conjecture in mathematics related to Fermat's last theorem which was proposed by Leonhard Euler in 1769.

This view was further elaborated by Belidor ( representation of rough surfaces with spherical asperities, 1737 ) and Leonhard Euler ( 1750 ) who derived the angle of repose of a weight on an inclined plane and first distinguished between static and kinetic friction ..

Euler was born on April 15, 1707, in Basel to Paul Euler, a pastor of the Reformed Church.

Paul Euler was a friend of the Bernoulli family — Johann Bernoulli, who was then regarded as Europe's foremost mathematician, would eventually be the most important influence on young Leonhard.

Euler was at this point studying theology, Greek, and Hebrew at his father's urging, in order to become a pastor, but Bernoulli convinced Paul Euler that Leonhard was destined to become a great mathematician.

As a result, it was made especially attractive to foreign scholars like Euler.

Conditions improved slightly upon the death of Peter II, and Euler swiftly rose through the ranks in the academy and was made professor of physics in 1731.

In addition, Euler was asked to tutor the Princess of Anhalt-Dessau, Frederick's niece.

This was partly because of a conflict of personality with Frederick, who came to regard Euler as unsophisticated, especially in comparison to the circle of philosophers the German king brought to the Academy.

Euler, a simple religious man and a hard worker, was very conventional in his beliefs and tastes.

For example, Euler could repeat the Aeneid of Virgil from beginning to end without hesitation, and for every page in the edition he could indicate which line was the first and which the last.

The use of the Greek letter π to denote the ratio of a circle's circumference to its diameter was also popularized by Euler, although it did not originate with him.

The development of infinitesimal calculus was at the forefront of 18th Century mathematical research, and the Bernoullis — family friends of Euler — were responsible for much of the early progress in the field.

This direct relationship between curved streamlines and pressure differences was derived from Newton's second law by Leonard Euler in 1754:

It is named for the Dutch-Swiss mathematician and scientist Daniel Bernoulli, though it was previously understood by Leonhard Euler and others.

Joseph Louis Lagrange was an admirer of Euler and, in his work on integrating probability density functions, investigated expressions of the form

It was certain now that Jess was in the house, but also, presumably, was Stacey Black.

The manuscript, presumably after being smuggled out of the country, was published in Switzerland in 1943.

Steady radiation which was presumably of thermal origin was observed from Venus at 3.15 and 9.4 cm, and from Mars and Jupiter at 3.15 cm in 1956 ( Mayer, McCullough, and Sloanaker, 1958, A, B, C ), and from Saturn at 3.75 cm in 1957 ( Drake and Ewen, 1958 ).

The issue was left in abeyance, presumably for the peace conference.

This would satisfy what presumably was Congress' major purpose -- the suability of unions.

However, the Federal Court held that since the State had accepted the provisions of the Wagner-Peyser Act into its own Code, and presumably therefore also the regulations, it was now a State matter.

Mr. Black's life was an open book, so to speak, from his birth in Jackson, Mississippi, through his basketball-playing days at L.S.U. and his attainment of a B.A. degree, which had presumably prepared him for his career as district sales manager for Peerless Business Machines.

Willings was, presumably, a better than average shot.

Later, the Anatolian peninsula was given the name Asia ( Ἀσία ), presumably after the name of the Assuwa confederation in western Anatolia.

Alcuin was born in Northumbria, presumably sometime in the 740s.

His mother's chaplain and hagiographer Thurgot was named Bishop of Saint Andrews ( or Cell Rígmonaid ) in 1107, presumably by Alexander's order.

We know from Gildas that he was of high birth, and had Roman ancestry ; he was presumably a Romano-Briton, rather than a Roman from elsewhere in the empire, though it is impossible to be sure.

There are some differing opinions as to the location of the Tekoa Amos was presumably from.

He presumably completed the work before 391, since at 22. 16. 12 he praises the Serapeum in Egypt as the glory of the empire, and the temple was destroyed by Christians at the end of that year.

In the Islamic times, a pseudo-etymology was produced by the historian Ahmad ibn Yahya al-Baladhuri ( d. 892 ) quoting a folk story that the town was presumably founded by one " Abbad bin Hosayn " from the Arabian Tribe of Banu Tamim, who established a garrison there during the governorship of Hajjaj in the Ummayad period.

These included some for the Triumphs of Maximilian, where he followed the overall style presumably set by Hans Burgkmair, although he was able to escape somewhat from this in his depictions of the more disorderly baggage-train, still coming through a mountain landscape.

Cuyp ” insignia, many paintings were left unsigned ( not to mention undated ) after being painted, and so a similar signature was added later on, presumably by collectors who inherited / discovered the works.

He was himself later deposed, and presumably killed in 1823.

A temporary lid was added at this point presumably to minimise the escape of zinc vapor.

The latter were presumably the * ambouii, as opposed to the man of status, who was * bouvios, a cattle owner, and the * bouii were originally a class, " the cattle owners.

Mike tested the leg and found that he was able to hobble around on it.

She glanced around the clearing, taking in the wagon and the load of supplies and trappings scattered over the ground, the two kids, the whiteface bull that was chewing its cud just within the far reaches of the firelight.

She had picked up the quirt and was twirling it around her wrist and smiling at him.

He had spent two hours riding around the ranch that morning, and in broad daylight it was even less inviting than Judith Pierce had made it seem.

I was constantly searching for clues around the neighborhood of the hall.

He looked around in surprise, then noticed that Fred Powell was clutching his chest.

Sweeping a look around, he saw that he was safe for the moment.

The metal strip they had taken off from was coal black against the green jungle around it.

Mrs. Roebuck thought Johnson was a `` sweet bawh t'lah lahk thet '', but her Herman was getting to be a man, there was no getting around it.

But it was only Johnson reaching around the wire chicken fencing, which half covered the truck cab's glassless rear window.

She was still hugging the stained coat around her, so I said, `` Relax, let me take your things.

The girl took a couple of steps toward the man in shorts when Benson, in that barefoot courtliness Ramey could never decide was real, said, `` You don't want to go around there, Ma'am ''.

I've helped him along ever since he was a youngster hanging around his brother's tackle shop.

The enemy came looming around a bend in the trail and Matsuo took a hasty shot, then fled without knowing the result, ran until breath was a pain in his chest and his legs were rubbery.

She munched little ginger cakes called mulatto's belly and kept her green, somewhat hypnotic eyes fixed on a light-colored male who was prancing wildly with a 5-foot king snake wrapped around his bronze neck.

William Gilmore Simms, sturdy realist that he was, pleaded for a natural robustness such as he found in his favorites the great Elizabethans, to vivify the pale writings being produced around him.

The formal displacement of the geocentric principle far from being Copernicus' primary concern, was introduced only to resolve what seemed to him intolerable in orthodox astronomy, namely, the ' unphysical ' triplication of centric reference-points: one center from which the planet's distances were calculated, another around which planetary velocities were computed, and still a third center ( the earth ) from which the observations originated.

The Indians who came aboard ship to collect the mail also interested her greatly, even if she was suitably shocked, according to the customs of the society in which she had been reared, to find them `` naked, except a piece of cotton cloth wrapped around their middle ''.

But Mercer's explanation was simple: `` I made out the check and carried it around a few days unsigned -- in case I lost it ''.

She reached and reached around the dress, but there was nothing there.

As the field on which my tent was pitched was a favorite natural playground for the kids of the neighborhood, I had made many friends among them, taking part in their after-school games and trying desperately to translate Grimm's Fairy Tales into an understandable French as we gathered around the fire in front of the tent.

The Prince took her with him on every tour around the area, and it was rumored he was utilizing her knowledge of Constantinople as part of his espionage network.