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During the contact line movement, the capillary flow outward from the center of the solution brings suspended silver nanoparticles to the edge as evaporation proceeds [27].
Union of Concerned Scientists - @UCSUSA Science is the center of the solution for the world's most pressing issues for the Union of Concerned Scientists.
AmeriCorps works by placing citizens at the center of the solution and demonstrating how service is for the people, by the people, for a stronger nation.
I realized we had to decentralize health care and put patients and communities at the center of the solution empowering them to create health, not simply treat disease.
The center of the solution circle is equally distant from all three points, and therefore must lie on the perpendicular bisector line of any two.
These four points correspond to the center of the solution circle (Z) and the centers of the three given circles (A, B and C).
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The first new solution method was published in 1596 by Adriaan van Roomen, who identified the centers of the solution circles as the intersection points of two hyperbolas.
This property, of having a fixed difference between the distances to the foci, characterizes hyperbolas, so the possible centers of the solution circle lie on a hyperbola.
Similarly, the distance d2 between the centers of the solution circle and C2 is either rs + r2 or, again depending on their chosen tangency.
If only two given circles are identical, there are only two distinct given circles; the centers of the solution circles form a hyperbola, as used in one solution to Apollonius' problem.
The distance d1 between the centers of the solution circle and C1 is either rs + r1 or, depending on whether these circles are chosen to be externally or internally tangent, respectively.
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