Help


[permalink] [id link]
+
Page "Euclid" ¶ 3
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

Although and purported
Although flawed, Kempe's original purported proof of the four color theorem provided some of the basic tools later used to prove it.
Although the group purported to represent " the autonomous working class ", when the police arrested nine suspected members of the group, only one, ( Jake Prescott, who was arrested in Notting Hill ) came from the working class ; the other eight, four men and four women ( arrested together in Stoke Newington ) were middle-class student drop-outs from the universities of Cambridge and Essex.
Although the purported eye witness accounts have recently been questioned as improbable, this event became a notorious symbol of Chinese madness, known as the Taiyuan Massacre.
Although the town has embraced the legend to a point ( the city's website mentions the legend, and even features an alien on the initial page ), the cemetery association has refused all requests to exhume the alien's purported gravesite.
Although widely considered today to be pseudoscience, the practice of trepanation for other purported medical benefits continues.
Although the criterion argument applies to both deduction and induction, Weintraub believes that Sextus ' argument " is precisely the strategy Hume invokes against induction: it cannot be justified, because the purported justification, being inductive, is circular.
Although Yates v. United States, 354 U. S. 298 ( 1957 ), had overturned the convictions of mid-level Communist Party members in language that seemed suggestive of a broader view of freedom of expression rights than had been accorded them in Dennis v. United States, 341 U. S. 494 ( 1951 ), all Yates purported to do was construe a federal statute, the Smith Act.
Although his discovery of the chalk figures in the Gogmagog Hills has been dogged by controversy, there are similarities between the name and nature of the purported ' Gog ' and the Irish deity Ogma, or the Gaulish Ogmios.
Although Iranian authorities insist that her death was accidental and that she died of a stroke while being interrogated, Shahram Azam, a former military staff physician who used his purported knowledge of Kazemi's case for seeking asylum in Canada in 2004, has stated that he examined Kazemi's body and observed that Kazemi showed obvious signs of torture, including a skull fracture, broken nose, signs of rape and severe abdominal bruising.
Although green tea has recently seen a revival due to its purported health benefits, black tea still accounts for over ninety percent of all tea sold in the West.
Although Christian authorities made no reference whatever to the purported mystical benefits of flesh-eating and blood-drinking that were proclaimed by proponents of cannibalism and of animal sacrifices among the mystery cults who promoted Omophagy and the ritual eating of raw flesh and organs of conquered leaders to absorb their power, they taught that the Christian " unbloody mysteries " ( cf.
Although he did not hold office as a diocesan bishop at the time, his name appears on the book's purported imprimatur with the date March 17, 1992.
Although it was for a long time purported to be an example of Batesian mimicry, it has recently been discovered that the viceroy is actually more unpalatable than the monarch, making this a case of Müllerian mimicry.
Although the purported reason for the journey was to conduct trade with Korea, the Koreans contend that the actual intention was to find treasure buried in the royal tombs near Pyongyang.
Although the identity of H. haroldcookii did not achieve general acceptance in the scientific community, and the purported species was retracted half a decade after it was proposed by Cook, creationists have promoted the episode as an example of the scientific errors that can undermine the credibility of paleontology and hominid evolution theories, and how such information is peer reviewed or accepted as mainstream knowledge.
It was Timex of Portugal, though, that took on the R & D and the local manufacturing of the models to be exported to the U. S. Although both Timex of Scotland and Timex of Portugal were full subsidiaries of Timex, internal rivalry, whether unintended or purported, meant there were no contacts nor experiences shared between the two plants.
Although often stated, there is no evidence for traditional medicinal uses of the caigua in its native range in the Andes, and the purported effectiveness of caigua in controlling cholesterol, high blood pressure, cellulitis, in regulating lipid metabolism as well as in reducing obesity clearly indicates contemporary health concerns.
Although purported to be an index of New York's best families, McAllister's list was suspiciously top-heavy with nouveau riche industrialists and McAllister's southern allies, seeking a new start in the nation's financial capital after the American Civil War.
Although the actual location of NHM is plausible when compared to Lehi's purported route, his change of direction on the Arabian peninsula, the timeframe (~ 600 BC ) matching the archaeological dates, and the ancient burial ground found there, one non-LDS author has suggested a valid reason why Nahom and NHM may not represent the same location: the pronunciation of NHM is unknown.
Although it was for a long time purported to be an example of Batesian mimicry, the viceroy has recently been discovered to be actually just as unpalatable as the monarch, making this a case of Müllerian mimicry.

Although and citation
Although the award is generally spoken of the " best and fairest ", the award's specific criterion is " fairest and best ", reflecting an emphasis on sportsmanship and fair play ( which also explains the decision to have the votes cast by the umpires ), as the 1924 somewhat illuminated citation expressly states:
Although every card should contain a complete citation, only the author's name and date of publication are typically spoken aloud in a speech.
Although their names are known, first from citation in the royal titles of King Afonso I of Kongo in 1535, there is little in the way of description of them.
Although 41 Commando was not mentioned in the original citation ( as US Navy regulations did not originally allow bestowal upon foreign forces ), representations to the USMC subsequently led to it also receiving the award, which was accepted in 1957.
Although the VC citation gives the hamlet Sourdeval " as the location ( not to be confused with the market town of Sourdeval about 20km away, it is actually at Pavee.
Although citation analysis is nothing new ( the Science Citation Index began publication in 1961 ), it was all done manually and thus really couldn't scale.
Although his citation was not a proper binomial name, Valenciennes interpreted it as Zygaena Blochii nobis when he described and illustrated the winghead shark in detail in 1822.

Although and Euclid
Although many of Euclid's results had been stated by earlier mathematicians, Euclid was the first to show how these propositions could fit into a comprehensive deductive and logical system.
Although the foundations of his work were put in place by Euclid, his work, unlike Euclid's, is believed to have been entirely original.
Although described by one critic as " the squarest music this side of Euclid ,", this strategy proved commercially successful and the show remained on the air for 31 years.
Although this principle had been recognized by the Greek mathematician Euclid and later in experiments by Newton, it was not until 1829 that this principle became firmly established by the Belgian Joseph Plateau.
Although the Hanna Theatre was the only one of the group not to close in 1968 or 1969, it was overshadowed by the revitalization of the four Euclid Avenue theaters during the 1980s, and closed in 1989.

Although and by
Although this kind of wholesale objection came at first from some men who were not technically Puritans, still, once the Puritans gained power, they climaxed the affair by passing the infamous ordinance of 1642 which decreed that all `` public stage-plays shall cease and be forborne ''.
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 Patchen has given previous evidence of an interest in jazz, the musical group that he works with, the Chamber Jazz Sextet, is often ignored by jazz critics.
Although a similar situs for tangible property is mentioned in the statute, this is cancelled out by the provision that definite kinds of property `` and all other tangible property '' situated or being in any town is taxable where the property is situated.
Although much of the Industrial Division's promotional effort is devoted to securing new locations and expansions by major industries, small business is also afforded considerable attention.
Although the Af calculation is obvious by analogy with that for gravitational field and osmotic pressure, it is interesting to confirm it by a method which can be generalized to include related effects.
Although in both emotions sympathetic symptoms are present, different autonomic-somatic patterns underlie aggression and anxiety, respectively, as indicated by the rate of the excretion of the catecholamines, the state of the muscle tone, and the Mecholyl test.
Although the Taylor Scale was designed as a group testing device, in this study it was individually administered by psychologically trained workers who established rapport and assisted the children in reading the items.
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 is in some ways comparable to a voluntary sale of assets for cash, to which section 203 quite clearly applies, the courts and Treasury have held that acquiring corporations in several types of non-taxable reorganizations may sue for refund of taxes paid by transferors.
Although no national norms exist for the social development of children, the teacher can find a great deal of information concerning types of social behavior normally displayed by children at various age levels.
Although wanted by the sheriff for killing an old man named Asher Jones, the warrant for his arrest had never been served.
Although a large number of coatings systems, particularly at low thicknesses fail cohesively by the cutting mechanism, frequently a second type of cohesive failure may also take place.
Although the first polyether foams on the market had to be produced by the two-step prepolymer method, today, thanks to new catalysts, they can be produced by a one-shot technique.
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 it looked like a routine technical snapback to Wall Streeters it was accompanied by some good news.
Although the fatty protein molecules, carried in the blood and partly composed of cholesterol, are water soluble, cholesterol itself is insoluble, and cannot be destroyed by the body.
Although there are seven other types of annual awards presented by the Academy ( the Irving G. Thalberg Memorial Award, the Jean Hersholt Humanitarian Award, the Gordon E. Sawyer Award, the Scientific and Engineering Award, the Technical Achievement Award, the John A. Bonner Medal of Commendation, and the Student Academy Award ) plus two awards that are not presented annually ( the Special Achievement Award in the form of an Oscar statuette and the Honorary Award that may or may not be in the form of an Oscar statuette ), the best known one is the Academy Award of Merit more popularly known as the Oscar statuette.
Narayanan – AIR India Reporter 1988 Court Page No. 1381 ; 1988 Volume No. 3 SCC Court Cases Page No. 366 ; 1988 PLJR 78 – Although an affidavit may be taken as proof of the facts stated therein, the Courts have no jurisdiction to admit evidence by way of affidavit.
Although originally controversial, the axiom of choice is now used without reservation by most mathematicians, and it is included in ZFC, the standard form of axiomatic set theory.
Although americium was likely produced in previous nuclear experiments, it was first intentionally synthesized, isolated and identified in late autumn 1944, at the University of California, Berkeley by Glenn T. Seaborg, Leon O. Morgan, Ralph A. James, and Albert Ghiorso.
Although the Indian and Greek concepts of the atom were based purely on philosophy, modern science has retained the name coined by Democritus.
Although constrained by land mass and topology, the amount of arable land, both regionally and globally, fluctuates due to human and climatic factors such as irrigation, deforestation, desertification, terracing, landfill, and urban sprawl.

1.369 seconds.