Sentence examples for a circle that intersects from inspiring English sources

Their point of tangency is chosen as the center of inversion in a circle that intersects each of the two touching circles in two places.

It is the result of a multilateration process, calculated as the centroid of all typical circles' intersection points with the typical circle that is intersected most.

(A flat circle, that is).

Apollonius' problem can be extended to construct all the circles that intersect three given circles at a precise angle θ, or at three specified crossing angles θ1, θ2 and θ3; the ordinary Apollonius' problem corresponds to a special case in which the crossing angle is zero for all three given circles.

Thirdly, given circles that intersect can be resized so that they become non-intersecting, after which the method for inverting to an annulus can be applied.

In the Poincaré disk model, geodesics are portions of circles that intersect the boundary of the disk at right angles; and in the Poincaré upper half-plane model, geodesics are semicircles with their centres on the boundary.

The basic Venn diagram is both elegantly simple three overlapping circles that intersect to create eight distinct areas and conceptually innovative.

These are sophisticated treatises, but even in Elements i, Euclid constructs an infinite line to avoid having to find where a circle will intersect a finite line.

Poncelet and his defender Michel Chasles (1793 1880) extended the principle of continuity into the domain of the imagination by considering constructs such as the common chord in two circles that do not intersect.

This position data is visualized in software as a circle which can intersect any number of pieces of music, represented as lines and circles.

WCA calculations were performed using a circle segment function intersecting with a straight baseline representing the surface from three replicates.