Furthermore because of the Feuerbach conic theorem mentioned above, there exists a unique rectangular circumconic, centered at the common intersection point of the four nine-point circles, that passes through the four original arbitrary points as well as the orthocenters of the four triangles.

Furthermore, the poles of the permanent magnet are arcs of a circle.

Furthermore, by considering the limit independently on either side of P, this definition of the curvature can sometimes accommodate a singularity at P. The formula follows by verifying it for the osculating circle.

Furthermore, replacing the unit circle by the unit square, the error term for the general problem can be as large as a linear function of r. Therefore getting an error bound of the form

Furthermore a great number of them, namely their most intelligent members, would belong to the vanguard's inner circle as professional revolutionaries.

Furthermore, they may encircle their arms with a depiction of the circlet ( a red circle bearing the motto ) with the badge pendant thereto and the collar ; the former is shown either outside or on top of the latter.

Furthermore, Möbius transformations map generalized circles to generalized circles since circle inversion has this property.

Furthermore, a number of aspects of the generally circular nature of the ringfort highlight the defensive advantages, most notably that a circle as a shape " offered broad perspectives of approaching attackers and allowed the maximum area to be enclosed relative to the length of the bank constructed.

Furthermore, in this case the structure group of the normal bundles is the circle group ; it follows that the choice of embeddings can be canonically identified with the group of homotopy classes of maps from to the circle, which in turn equals the first integral cohomology group.

Furthermore, if both fighters miss, the diving attacker must now pull out of his dive, while the defender is now in position to circle around and counter-attack with his own dive.

Furthermore, the seven circuits correspond to the seven words in the verse Erhatz benikayon kappay, va ' asovevah et mizbahakha Hashem-" I wash my hands in purity and circle around Your altar, O Lord " ( Psalms 26: 6 ).

Furthermore, a 19 November 1922 decree suppressed the Commission on War Profits, while the 20 August 1923 law suppressed the inheritance tax inside the family circle.

Furthermore, the network in Figure 3 is only the basic net through which other networks pertaining to logistics and the like are interlaced.

Furthermore, conditioned reactions are fundamentally altered when the hypothalamic sympathetic reactivity is augmented beyond a critical level, and several types of behavioral changes probably related to the degree of central autonomic `` tuning '' are observed.

Furthermore, one can find a neighborhood of Q in which the difference function is monotone, for since it is analytic it can have only a finite number of extrema in any interval.

Furthermore, there is a cautious conservatism on the part of those making local skill surveys.

Furthermore, in a C reorganization the continuing interest of stockholders of the corporation which paid the tax must be greater than is necessary in a statutory merger, to which the statute is clearly inapplicable.

Furthermore, the list is interesting for its omissions.

Furthermore, the hydrolysis of paraoxon was studied in mammalian sera, and it was found that it is hydrolyzed by albumin ( or a factor attached to it ) in addition to arylesterase.

Furthermore, as an encouragement to revisionist thinking, it manifestly is fair to admit that any fraternity has a constitutional right to refuse to accept persons it dislikes.

Furthermore, the middle number of the Lo Shu is not only the physical mean between every opposing pair of the other numbers, by reason of its central position ; ;

Furthermore, in mathematics, the letter alpha is used to denote the area underneath a normal curve in statistics to denote significance level when proving null and alternative hypotheses.

Furthermore, the study concluded that despite its record growth on most macro-economic metrics, Armenia is " low and lagging " in competitiveness.

Furthermore, the primary testimony to the commission that connected baseball to Doubleday was that of Abner Graves, whose credibility is questionable ; a few years later, he shot his wife to death and was committed to an institution for the criminally insane for the rest of his life.

Furthermore, Wesley did not teach a salvation by perfection, but rather says that, " Even perfect holiness is acceptable to God only through Jesus Christ.

Furthermore, the er sound of fur or butter, is realized in AmE as a monophthongal r-colored vowel ( stressed or unstressed as represented in the IPA ).

Many who side with this view disagree that Luke portrays Christianity or the Roman Empire as harmless and thus reject the apologetic view because “ Acts does not present Christians as politically harmless or law abiding for there are a large number of public controversies concerning Christianity, particularly featuring Paul .” For example, to support this view Cassidy references how Paul is accused of going against the Emperor because he is “ saying that there is another king named Jesus .” ( Acts 17: 7 ) Furthermore, there are multiple examples of Paul ’ s preaching causing uprisings in various cities ( Acts 14: 2 ; 14: 19 ; 16: 19-23 ; 17: 5 ; 17: 13-14 ; 19: 28-40 ; 21: 27 ).

Furthermore, there is no proposed mechanism of action by which the positions and motions of stars and planets could affect people and events on Earth that does not contradict well understood, basic aspects of biology and physics.

Furthermore, it is clear that even the basic meaning of the term " art " has changed several times over the centuries, and has continued to evolve during the 20th century as well.

Furthermore, it is not clearly found in the writings of the Fathers before Augustine in the fourth century and attempts to read it back as implicit in earlier writers are flawed because it is possible to show that significant changes occurred.

Furthermore, they claim that in the Bible there's no evidence showing that the office must be conveyed by laying on of hands and no Biblical command that it must be by a special class of bishops ( the laying on of hands is repeatedly used to give a commission to some person in scripture.

Furthermore, it is recommended that the trees remain connected to the stumps and the length of roadway covered be at least 80 yards.

Furthermore, overactivity of noradrenergic neurones arising from the locus coeruleus may produce excessive excitation in the brain areas implicated in GAD.

Furthermore, genome-wide analysis shows that, in addition to the HLA variant, narcoleptic humans also exhibit a specific genetic mutation in the T-cell receptor alpha locus.

Furthermore, not once did " Philadelphia " appear on the uniform, nor did the letter " P " appear on the cap or the uniform.

" Furthermore, from a communication to President Robert P. Hooper of the American Automobile Association, the article quoted Clark's opinion that, " I believe the time has come for the general Government to actively and powerfully co-operate with the States in building a great system of public highways ... that would bring its benefits to every citizen in the country.

Furthermore, we include the property of " electronhood ", as outlined above, to be designated by P < sub > 1 </ sub >, and the property of " charge " to be designated by P < sub > 2 </ sub >.

Furthermore, the elements that are actually in P are precisely those whose reflection vanishes at P. So if we think of the map, associated to any element a of A:

Furthermore, P < sub > 0 </ sub >( T ) = 1 − T, P < sub > 2n </ sub >( T ) = 1 − q < sup > n </ sup > T, and for, P < sub > i </ sub >( T ) factors over C as for some numbers α < sub > ij </ sub >.

Furthermore if Y is a local martingale under P then the process

Furthermore, Kuei-jin who stifle and contain their P ' o utterly become cold, calculating individuals who lack any ideological spark ; such stagnancy can be devastating when the weight of karma ( spiritual consequences of actions ) is on one's shoulders.

Furthermore, let S be a subset of P that has a least upper bound s. Then f preserves the supremum of S if the set f ( S ) =

Furthermore, there are five different teloblast lineages ( N, M, O, P, and Q ), with one set for each side of the midline.

Furthermore, let P < sup > 1 </ sup > be the subspace of the vertex algebra of vectors v with L < sub > 0 </ sub >( v )

Furthermore, for each input prediction there may be several inputs which are nonlinear functions of P < sub > i </ sub >( 1 ) in addition to stretch ( P ( 1 ))

Furthermore, another newly constructed highway, the B. P.

Furthermore, P < sup > PP </ sup > contains PH, whereas is not known to even contain NP.