Sentence examples for in a given circle from inspiring English sources

The company is said to be closely studying an option to hand over the subscribers, with their permission, to another operator if carrying on in a given circle does not make business sense.

Even in the pre-Euclidean period the effort to construct a square equal in area to a given circle had begun.

410 485), Menaechmus's brother Dinostratus gained fame as a mathematician for discovering how the trisectrix, a curve first invented for trisecting the angle, could be used to construct a square equal in area to a given circle.

Showing that it is not possible to square a circle (i.e., to construct a square equal in area to a given circle by the same means), however, demanded deeper insights into the nature of the number π. See geometry: The three classical problems.

For many new members, participation in a giving circle is their first encounter with organized philanthropy and has far reaching effects.

Inversion in one such intersection point F renders the constructed circles into straight lines emanating from F and the two given circles into concentric circles, with the third given circle becoming another circle (in general).

Three given circles generically have eight different circles that are tangent to them (Figure 2) and each solution circle encloses or excludes the three given circles in a different way: in each solution, a different subset of the three circles is enclosed (its complement is excluded) and there are 8 subsets of a set whose cardinality is 3, since 8 = 23.

In Euclidean plane geometry, Apollonius's problem is to construct circles that are tangent to three given circles in a plane (Figure 1).

For illustration, the orange circle in Figure 6 crosses the black given circles at right angles.

Inversion in the radical circle leaves the given circles unchanged, but transforms the two conjugate pink solution circles into one another.

Thus, as the solution circle swells, the internally tangent given circles must swell in tandem, whereas the externally tangent given circles must shrink, to maintain their tangencies.