However, in spherical geometry and hyperbolic geometry ( where the sum of the angles of a triangle varies with size ) AAA is sufficient for congruence on a given curvature of surface.

However, jazz historian, musician, and composer Gunther Schuller writes about Morton's " hyperbolic assertions " that there is " no proof to the contrary " and that Morton's " considerable accomplishments in themselves provide reasonable substantiation ".

However, in plane mapping there are two other angles to consider: the hyperbolic angle and the slope, which is the analogue of angle for dual numbers.

However, this results in a secondary that is no longer precisely hyperbolic ( though it is still very close ), so the constant phase property is lost.

( However a manifold can have many different geometric structures of the same type ; for example, a surface of genus at least 2 has a continuum of different hyperbolic metrics.

However, Orwell may also have been influenced by Nazi Reichsmarschall Hermann Göring, who once, in a debatably hyperbolic display of loyalty to Adolf Hitler, declared, " If the Führer wants it, two and two makes five!

However hyperbolic that early Hall of Fame speculation appears more than 20 years later, it was a natural extension of Gooden's larger-than-life presence in New York City.

However, sphere packing problems can be generalised to consider unequal spheres, n-dimensional Euclidean space ( where the problem becomes circle packing in two dimensions, or hypersphere packing in higher dimensions ) or to non-Euclidean spaces such as hyperbolic space.

However, Smith's Presidential campaign, the Nauvoo Expositor incident, and even hyperbolic and inaccurate rumors about the Council of Fifty helped create the local unrest that led to his assassination.

However, on a convex polyhedron the angles at a vertex on average add up to less than 360 °, on a spherical triangle the interior angles always add up to more than 180 ° ( the exterior angles add up to less than 360 °), and the angles in a hyperbolic triangle always add up to less than 180 ° ( the exterior angles add up to more than 360 °).

However, in hyperbolic line arrangements lines may avoid crossing each other without being parallel ; the intersection graph of the lines in a hyperbolic arrangement is a circle graph.

However, in his 1986 book Applications of Lie Groups to Differential Equations ( p. 127 ) he uses the term " hyperbolic rotation " for an equivalent mapping.

However, variations exist where the primary is hyperbolic for increased performance, and where the primary and / or secondary are spherical or elliptical for ease of manufacturing.

However, despite rumors about Gable being uncomfortable with Cukor on the set, nothing in the internal memos of David O. Selznick indicates or suggests that Clark Gable played any role in Cukor's dismissal from the film.

However, McMahon was a staunch free-trader, and there were also rumors that he was homosexual.

However, the already-existing public distrust of the regime was deepened by the rising costs of war, high casualties, and rumors of corruption and treason.

However, there were rumors he might be sympathetic to Christianity.

However, when Prince was interviewed in 2010, journalist Peter Willis said he believed the rumors of Prince needing double hip surgery to be unfounded and untrue as Prince appeared to be agile.

However, rumors soon started to spread and were confirmed in March 1848 by San Francisco newspaper publisher and merchant Samuel Brannan.

However, Ventura dismissed the rumors and one of his attorneys stated he had not been in California since July 15, 2011.

8in., nice butt, Midwestern American, kind-of-German last name, green eyes, big pouty lips, fair skin, ahhh .... sinewy bod ..." However, during an appearance on The Tonight Show with Jay Leno on June 11, 2008 when Jay Leno questioned him about anything related to rumors of engagement and pregnancy, Timberlake jokingly responded that he " is engaging in a conversation with Leno " and " everybody in general can get pregnant ".

However, in Miles Davis ' autobiography Miles, Davis claims that the anger and tension between Monk and himself never took place and that the claims of blows being exchanged were " rumors " and a " misunderstanding ".

However, he began to hear rumors about his actual parentage, so he consulted the Delphic Oracle.

However, rumors persist that Mani might have been flayed alive: his skin, stuffed with straw, is said to have been suspended for some time over one of the gates of the great city of Shahpur.

However, Ballot repeated rumors and was a sloppy historian.

However, Barrett confirmed through her Twitter page that the rumors of a reunion were completely fabricated.

However, the story also casts doubt on her earlier actions, reflecting rumors that Maitreyi was not a virgin at the time she and Allan first met, which also seems to expose her father as a hypocrite.

However Aamir has termed all these rumors baseless and confirmed that the movie is on schedule and would release on 30 November 2012.

However someone has spotted the couple and began to spread rumors around town destroying Norma's reputation.

However, there were no official reports of Simão's abuses, even though he stayed until September 1520 ; yet rumors of his behavior ( which became associated with all Portuguese ) no doubt reached as far as the court of Beijing, which would soon condemn the Portuguese for this and other reasons.

However, when rumors surfaced that Saddam had married another woman, and that his family life was now strained, more pictures and videos appeared in the Iraqi media of Saddam and Sajida, as well as them with their children.

However, years of declining ratings and local cancellations have led to unconfirmed rumors and speculation that WKAQ may become a standard Telemundo station, dropping all local programing except for Telenoticias.

However, there were rumors of illegal abortions and excessive prescriptions of addictive remedies.

However, later, it was confirmed that layoffs were not heavily confined to one team or another, countering early rumors that the teams were specifically targeted — countering the implication that the under performance of certain games might have been the catalyst.

However, there soon emerged rumors – believed by prominent foreigners Jean Laborde and William Ellis – that Radama lived and was making plans to reclaim the throne.

However rumors circulated that Benton, a better shot, had made the rules of 30 feet apart to favor him.

However, there is little evidence these rumors are true.

However, manufactured, irrelevant, cruel and incorrect rumors or outright falsehoods designed to damage or destroy an opponent are easily described as dirty tricks.

However, three distinguished associated graduate schools offer professional curriculums -- the Dartmouth Medical School ( third oldest in the country and founded in 1797 ), the Thayer School of Engineering, and the Amos Tuck School of Business Administration.

However, Cancun has taken some steps to control the reckless behavior associated with the event, and students have been looking for someplace new.

However, some antibacterials have been associated with a range of adverse effects.

However, it is important to note an abscess is not always associated with incorrect administration, and it is one of the more common complications that can occur with the vaccination.

However, gene tests may not detect every mutation associated with a particular condition because many are as yet undiscovered.

However, the US Centers for Disease Control studied the blood of these individuals and concluded there was no evidence the reactions these people experienced were associated with hypersensitivity to the Starlink Bt protein.

However, the top of the system is sharply defined, being placed at an iridium-rich layer found worldwide that is believed to be associated with the Chicxulub impact crater in Yucatan and the Gulf of Mexico.

However, political collectivism is not necessarily associated with support for states, governments, or other hierarchical institutions.

However, the CRTC does continually monitor the sector and associated trends.

However, many common modern bus systems can be used for both ; SATA and the associated eSATA are one example of a system that would formerly be described as internal, while in certain automotive applications use the primarily external IEEE 1394 in a fashion more similar to a system bus.

However, by identifying clusters of observable properties that are associated with core examples of clitics on the one hand, and core examples of affixes on the other, one can pick out a battery of tests that provide an empirical foundation for a clitic / affix distinction.

However, a sufficiently sensitive radio telescope shows a faint background glow, almost exactly the same in all directions, that is not associated with any star, galaxy, or other object.

" However, " The cello dropped out of sight in folk music, and became associated with the orchestra.

However, such badly synchronised links were frowned upon because of the problems associated with sending faxes and / or other modem based communication which were not specifically identified within the protocol.

However, EVM not only survived the acquisition reform movement, but became strongly associated with the acquisition reform movement itself.

However, the medical view is that the rush or high associated with the activity is not due to adrenaline being released as a response to fear, but due to increased levels of dopamine, endorphins and serotonin because of the high level of physical exertion.

However, it should be noted that because of risks associated with oxygen toxicity, divers tend not to utilize nitrox at greater depths where more pronounced narcosis symptoms are more likely to occur.

However, since the teachers associated with perennialism are in a sense the authors of the Western masterpieces themselves, these teachers may be open to student criticism through the associated Socratic method, which, if carried out as true dialogue, is a balance between students, including the teacher promoting the discussion.

However, these associations changed over time, and they did not necessarily mean that the god associated with a place had originated there.

However, it is often associated orchestrationally with " C " instruments, because when a euphonium player sees a note named " C ," s / he plays a " C ." ( This varies from transposing instruments such as a B trumpet, that sees a " C " and sounds a " B-flat.

However, the English one underwent a great upward mobility during the Middle Ages, becoming associated with the aristocracy, while its German equivalent retained the humble meaning of " servant ".

However, the fasces, as a widespread and long-established symbol in the West, has avoided the stigma associated with much of fascist symbolism, and many authorities continue to display them, including the federal government of the United States.

However, in a small minority of patients with renal failure, at least four such agents have been associated with development of the rare nodular inflammatory disease nephrogenic systemic fibrosis.

However, in the brain ( part of the central nervous system ), the " basal ganglia " is a group of nuclei interconnected with the cerebral cortex, thalamus and brainstem, associated with a variety of functions: motor control, cognition, emotions, and learning.