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.

If the dominant country's influence is felt in social and cultural circles, such as " foreign " music being popular with young people, it may be described as cultural imperialism.

If the parameter " dopefish " is added to the executable, a sample of burping is heard and Scott's Mystical Head is seen spinning in circles on the screen.

If we draw both circles, two new points are created at their intersections.

If you measure the circumferences of circles of steadily larger diameters and divide the former by the latter, all three geometries give the value π for small enough diameters but the ratio departs from π for larger diameters unless Ω = 1:

* If four arbitrary points A, B, C, D are given that do not form an orthocentric system, then the nine-point circles of ABC, BCD, CDA and DAB concur at a point.

* If four points A, B, C, D are given that form a cyclic quadrilateral, then the nine-point circles of ABC, BCD, CDA and DAB concur at the anticenter of the cyclic quadrilateral.

( If they are not orientable the natural fibration by circles is not necessarily a Seifert fibration: the problem is that some fibers may " reverse orientation "; in other words their neighborhoods look like fibered solid Klein bottles rather than solid tori .< ref > Ronald Fintushel, Local S < sup > 1 </ sup > actions on 3-manifolds, Pacific J. o. M. 66 No1 ( 1976 ) 111-118, http :// projecteuclid. org /...) The classification of such ( oriented ) manifolds is given in the article on Seifert fiber spaces.

* If a circle q passes through two distinct points A and A ', inverses with respect to a circle k, then the circles k and q are orthogonal.

* If the circles k and q are orthogonal, then a straight line passing through the center O of k and intersecting q, does so at inverse points with respect to k.

If the radical center lies outside of all three circles, then it is the center of the unique circle ( the radical circle ) that intersects the three given circles orthogonally ; the construction of this orthogonal circle corresponds to Monge's problem.

If p / q is between 0 and 1, the Ford circles that are tangent to C can be described variously as

If C and C are tangent Ford circles, then the half-circle joining ( p / q, 0 ) and ( r / s, 0 ) that is perpendicular to the x-axis is a hyperbolic line that also passes through the point where the two circles are tangent to one another.

If M consists of a circle, and N of two circles, M and N together make up the boundary of a pair of pants W ( see the figure at right ).

If you watch the animation above you will see two circles ( one about half way between the edge and center, and the other on the edge itself ) and a straight line bisecting the disk, where the displacement is close to zero.

If a straight line is considered a degenerate circle with zero curvature ( and thus infinite radius ), Descartes ' theorem also applies to a line and two circles that are all three mutually tangent, giving the radius of a third circle tangent to the other two circles and the line.

If four circles are tangent to each other at six distinct points, and the circles have curvatures k < sub > i </ sub > ( for i = 1, ..., 4 ), Descartes ' theorem says:

If one of the three circles is replaced by a straight line, then one k < sub > i </ sub >, say k < sub > 3 </ sub >, is zero and drops out of equation ( 1 ).

If random sections of the cloth are bound, the result will be a pattern of random circles.

If the cloth is first folded then bound, the resulting circles will be in a pattern depending on the fold used.