Although the original copy in which Fermat wrote this is lost today, Fermat's son edited the next edition of Diophantus, published in 1670.

Although The Porisms is lost, we know three lemmas contained there, since Diophantus refers to them in the Arithmetica.

Although it is constantly made to look foolish ( too simple to come in out of the rain, people say, who have found in the innocent an impediment ), it does not mind looking foolish because it is not concerned with how it looks.

Although the government was probably prepared for elections by mid-1958, the first decision was no doubt made more difficult as party strife multiplied.

Although it was at the Battle of The Little Horn, about which more words have been written than any other battle in American history, that the 7th Cavalry first made its mark in history, the regiment was ten years old by then.

Although there was no doubt in my mind and we've been handling it as one I'm glad to have it made official ''.

Although progress has been made in America's system of libraries it still falls short of what is required if we are to maintain the standards that are needed for an informed America.

Although the particular form of conceptualization which popular imagination had made in response to the experience of spirit was undoubtedly defective, the raw experience itself which led to such excesses remains with us as vividly as ever.

Although his respect for Aristotle was diminished as his travels made it clear that much of Aristotle's geography was clearly wrong, when the old philosopher released his works to the public, Alexander complained " Thou hast not done well to publish thy acroamatic doctrines ; for in what shall I surpass other men if those doctrines wherein I have been trained are to be all men's common property?

Although short a was not written, as in the Indic abugidas, one could argue that the linear arrangement made this a true alphabet.

Although discomforts are made part of certain Jewish conceptions of the afterlife, the concept of " eternal damnation ", so prevalent in other religions, is no tenet of the Jewish afterlife.

Although punishments are made part of certain Christian conceptions of the afterlife, the prevalent concept of " eternal damnation " is a tenet of the Christian afterlife.

Although hydrogen-like orbitals are still used as pedagogical tools, the advent of computers has made STOs preferable for atoms and diatomic molecules since combinations of STOs can replace the nodes in hydrogen-like atomic orbital.

Although Dürer made no innovations in these areas, he is notable as the first Northern European to treat matters of visual representation in a scientific way, and with understanding of Euclidean principles.

Although observations of some aerodynamic effects such as wind resistance ( e. g. drag ) were recorded by Aristotle, Leonardo da Vinci and Galileo Galilei, very little effort was made to develop a rigorous quantitative theory of air flow prior to the 17th century.

Although gold has an atomic number of 79, immediately after Rutherford's paper appeared in 1911 Antonius Van den Broek made the intuitive suggestion that atomic number is nuclear charge.

Although Bardot got the role, the film was cancelled, but it made her consider becoming an actress.

Although many types of balls are today made from rubber, this form was unknown outside the Americas until after the voyages of Columbus.

Although each variant of bridge has its own particular scheme for awarding and accumulating points, all are based upon whether or not the contract for each deal was made or defeated and by how many tricks.

Although each country has made its own adaptations and changes to the format, the contestants are confined to a specially designed house where their every action is recorded by cameras and microphones at all times and they are not permitted to make any contact with the outside world.

Although contacts between Cubans and foreign visitors were made legal in 1997, extensive censorship has isolated it from the rest of the world.

Although most early codices were made of papyrus, papyrus was fragile and supplies from Egypt, the only place where papyrus grew and was made into paper, became scanty ; the more durable parchment and vellum gained favor, despite the cost.

Although not often, it may refer to the individual, biblical teachings that Calvin made himself.

Although the Terni is somewhat obstructed, it is believed that it could easily be made navigable for small craft.

Although evangelical sentiments were uttered by some of the members in favor of the supreme authority of the Scriptures and justification by faith, no concession whatever was made to Protestantism.

Although previous big-name pitchers, including Bill Swift, Bret Saberhagen, and Darryl Kile, had struggled in Colorado, following the 2000 season O ' Dowd made two very splashy signings in the free-agent market, signing Denny Neagle to a five-year contract worth $ 51 million, followed five days later by signing Mike Hampton to an eight-year, $ 121 million contract.

Although because of the important achievements of nineteenth century scholars in the field of textual criticism the advance is not so striking as it was in the case of archaeology and place-names, the editorial principles laid down by Stevenson in his great edition of Asser and in his Crawford Charters were a distinct improvement upon those of his predecessors and remain unimproved upon today.

Although the United States and the U.S.S.R. have been arguing whether there shall be four, five or six top assistants, the most important element in the situation is not the number of deputies but the manner in which these deputies are to do their work.

Although the inner functions of religion are not of direct significance in social organization, they have important indirect consequences.

Although a somewhat technical subject, it has important political implications as the above discussion of the voting system indicated.

Although both concede they would like to hit 60, they stick primarily to the baseball player's standard quote: `` The important thing is to win the pennant ''.

Although Doubleday achieved minor fame as a competent combat general with experience in many important Civil War battles, he is more widely remembered as the supposed inventor of the game of baseball, in Elihu Phinney's cow pasture in Cooperstown, New York, in 1839.

Although he was not an innovator, he would not follow the absolute letter of the law ; rather he was driven by concerns over humanity and equality, and introduced into Roman law many important new principles based upon this notion.

Although the Atanasoff – Berry Computer was an important step up from earlier calculating machines, it was not able to run entirely automatically through an entire problem.

Although the increased contact brought by trade between the Japanese and the Ainu contributed to increased mutual understanding, sometimes it led to conflict, occasionally intensifying into violent Ainu revolts, of which the most important was Shakushain's Revolt ( 1669 – 1672 ).

Although most legislation is initiated by the executive branch, the Bundestag considers the legislative function its most important responsibility, concentrating much of its energy on assessing and amending the government's legislative program.

Although BCD is not as widely used as in the past, decimal fixed-point and floating-point formats are still important and continue to be used in financial, commercial, and industrial computing, where subtle conversion and rounding errors that are inherent to floating point binary representations cannot be tolerated.

Although this shift was an important one, it did not represent a radical break from the past so much as a small step in a broader, more gradual socio-economic movement that had been going on at least since 1907 when van de Velde had argued for a craft basis for design while Hermann Muthesius had begun implementing industrial prototypes.

Although the poet maintains the theme of possessions as important even in death, the glory of battle is challenged by the vicious nature of war.

Although Bede is mainly studied as a historian now, in his time his works on grammar, chronology, and biblical studies were as important as his historical and hagiographical works.

Although luck is involved and factors into the outcome, strategy plays a more important role in the long run.

Although this culture has conventionally been identified with the migration of the Gothic ethnos into the region from the Northwest, Todd argues that its most important origin is Scytho-Sarmatian.

Although they were childless, Potter played an important role in William ’ s large family, particularly enjoying her relationship with several nieces whom she helped educate and giving comfort and aid to her husband ’ s brothers and sisters.

Although the Royal Navy is widely regarded as having been vital for the rise of the British Empire, and British dominance of the world, the British Army played an important role in the colonisation of India and other regions.

Although many states rose and fell, the most important and durable of the empires were Kanem-Bornu, Baguirmi, and Ouaddai, according to most written sources ( mainly court chronicles and writings of Arab traders and travelers ).

Although in its early days, the Cayman Islands ' most important relationships were with Britain and Jamaica, in recent years, this has shifted, and they now rely more so on the United States and Canada.

Although drops in its external assistance budget have reduced French military and social development aid to the country, France remains the most important bilateral donor and the country from which C. A. R.

Although the Colombian Government ratified the 1988 UN Convention on Narcotics in 1994 — the last of the Andean governments to do so — it took important reservations, notably to the anti-money-laundering measures, asset forfeiture and confiscation provisions, maritime interdiction, and extradition clauses.

Although the Chinese Room argument was originally presented in reaction to the statements of AI researchers, philosophers have come to view it as an important part of the philosophy of mind.

Although feedback is an important aspect of control engineering, control engineers may also work on the control of systems without feedback.

Although Christ was God incarnate, it is our spiritual, not physical comprehension of him which is important.