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If the areas of the two parallel faces are A < sub > 1 </ sub > and A < sub > 3 </ sub >, the cross-sectional area of the intersection of the prismatoid with a plane midway between the two parallel faces is A < sub > 2 </ sub >, and the height ( the distance between the two parallel faces ) is h, then the volume of the prismatoid is given by ( This formula follows immediately by integrating the area parallel to the two planes of vertices by Simpson's rule, since that rule is exact for integration of polynomials of degree up to 3, and in this case the area is at most a quadratic in the height.
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If and areas
If Congress wants to displace the states from areas which they have customarily occupied, let it do so knowingly and explicitly.
If an ESN / MIN Pair is intercepted, it could then be cloned onto a different phone and used in other areas for making calls without paying.
If the sources for north-eastern Britain, the lands of the kingdom of Northumbria and the former Pictland, are limited and late, those for the areas on the Irish Sea and Atlantic coasts — the modern regions of north-west England and all of northern and western Scotland — are non-existent, and archaeology and toponymy are of primary importance.
If the frame contains areas where nothing has moved, the system simply issues a short command that copies that part of the previous frame, bit-for-bit, into the next one.
If their economical structures are competitive, it is likely there will be no incentive for a FTA, or only selected areas of goods and services will be covered to fulfill the Economic interests between the two signatories of FTA.
If we defeat them and capture western Galilee or territory on both sides of the road to Jerusalem, these areas will become part of the state.
If the marauders did not stay to permanently dispossess them of grazing areas, the fleeing clan might return to rebuild in a day or two.
If the cities were treated as relatively autonomous local administrative areas, it would simplify the problems of imperial administration, which as far as Julian was concerned, should be focused on the administration of the law and defense of the empire's vast frontiers.
If true, her worship may have resembled that of Perchta groups in Germanic areas.
If potatoes develop green areas or start to sprout, these areas should be trimmed before using.
If Berlin needed to re-establish itself on the world stage, then Potsdamer Platz was one of the key areas where the city had an opportunity to express itself.
If it were to make its way into wild populations in areas such as Australia, it could create a population boom, as those diseases are the most serious threats to rabbit survival.
If the first part of a tsunami to reach land is a trough — called a drawback — rather than a wave crest, the water along the shoreline recedes dramatically, exposing normally submerged areas.
If such sources are removed from residential areas, almost the only mosquitoes able to attack people are those that fly in or are blown in from where they have bred.
If neglected, over time they can cause problems by moving into adjacent areas.
If the metamorphosed rocks are later uplifted and exposed by erosion, they may occur in long belts or other large areas at the surface.
Proposals to admit Turkey have been debated but are now currently stalled, partly on the ground that Turkey is beyond Europe's historic frontier and it is yet to comply with the 35 point policy areas set out by the E. U. If all or most East European states become members, the frontier may be the boundaries with Russia and Turkey.
If only large, contiguous areas of grasslands are counted, these biomes cover 31 % of the planet's land.
If there are external benefits, such as in areas of education or public safety, too little of the good would be produced by private markets as producers and buyers do not take into account the external benefits to others.
BBC disc jockey John Peel said of the album: " If there has been anything in the history of popular music which could be described as a work of art in a way that people who are involved in other areas of art would understand, then Trout Mask Replica is probably that work.
If a terrain is large enough, it may be divided into marked-off areas called pistes so that separate games may be carried on simultaneously on the same terrain.
He wrote " If you wanted to sum up the relative position of Britain and America in this century – the ebbing away of the pink areas of the map, the fading of national self-confidence as Uncle Sam proceeded to colonise the globe with fizzy drinks and Hollywood – you could do it like this: they had Star Trek, we had Blake's 7 ... No ' boldly going ' here: instead, we got the boot stamping on a human face which George Orwell offered as a vision of humanity's future in Nineteen Eighty-Four.
If the genitals become diseased, as in the case of cancer, sometimes the diseased areas are surgically removed.
If and two
If we examine the three types of change from the point of view of their internal structure we find an additional profound difference between the third and the first two, one that accounts for the notable difference between the responses they evoke.
If I now risk some comparisons with Sons And Lovers let it be clear that I am not comparing the two works or judging their merits ; ;
If nothing else, at least two good songs came out of the project, `` Out Of This World '' and `` June Comes Around Every Year ''.
If he were to go with White, he would be out there two days, not just listening in the dark at some point between here and Papa-san, but moving ever deeper into enemy land -- behind Papa-san -- itself.
Somebody, got to be somebody If I don't put my two cents in soon, somebody else will I know they're waitin only for one thing: for the bastards what done it to be nailed.
If we cluster together, the redcoats can make an advantage out of it, but there's not a blessed thing they can do with two or three of us except chase us, and we can outrun them ''.
If you've travelled in Europe a time or two, it is quite certain that you've had that wanting-to-be-alone feeling or that you will get it on your next visit across the Atlantic.
If A is the major axis of an ellipsoid and B and C are the other two axes, the radius of curvature in the ab plane at the end of the axis Af, and the difference in pressure along the A and B axes is Af.
If we try to study T using characteristic values, we are confronted with two problems.
If the distribution of the 71 items were wholly concordant in the two families, the distance would of course be 0.
If the patient can perceive figure kinesthetically when he cannot perceive it visually, then, it would seem, the sense of touch has immediate contact with the spatial aspects of things in independence of visual representations, at least in regard to two dimensions, and, as we shall see, even this much spatial awareness on the part of unaided touch is denied by the authors.
If a child loses a molar at the age of two, the adjoining teeth may shift toward the empty space, thus narrowing the place intended for the permanent ones and producing a jumble.
If you are not well acquainted with the area in which you wish to locate, or if you are not sure that you and your family will like and make a success of farming, usually you would do better to rent a place for a year or two before you buy.
If the change, at first sight, seems minor, we may recall that it took the Italian painters about two hundred years to make an analogous change, and the Italian painters, by universal consent, were the most brilliant group of geniuses any art has seen.
If we add to these contacts with friendly members the `` contacts with an organization of the church '' ( 11.2 per cent of the cases ), then a substantial two thirds of all recruitment is through friendly contact.
If the Orioles are to break their losing streak within the next two days, it will have to be at the expense of the American League champion New York Yankees, who come in here tomorrow for a night game and a single test Sunday afternoon.
If one takes the middle number, 5, and multiplies it by 3 ( the base number of the magic square of three ), the result is 15, which is also the constant sum of all the rows, columns, and two main diagonals.
If we look about the world today, we can see clearly that there are two especially significant factors shaping the future of our civilization: science and religion.
** Trichotomy: If two sets are given, then either they have the same cardinality, or one has a smaller cardinality than the other.
* If two small categories are weakly equivalent, then they are equivalent.
If the demands of these two sovereigns upon his duty of allegiance come into conflict, those of the United States have the paramount authority in American law ; likewise, those of the foreign land have paramount authority in their legal system.
If there is a mixture of only two types of atoms, not counting impurities, such as a copper-nickel alloy, then it is called a binary alloy.
* Let Q be a set enclosed between two step regions S and T. A step region is formed from a finite union of adjacent rectangles resting on a common base, i. e. S ⊆ Q ⊆ T. If there is a unique number c such that a ( S ) ≤ c ≤ a ( T ) for all such step regions S and T, then a ( Q )
If a tile is placed between two hotel chains of the same size, the individual player who places the tile decides which hotel chain remains on the board and which is acquired.
If two players tie for majority, they will share both shareholder bonuses.
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