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  2. World Englishes - Wikipedia

    en.wikipedia.org/wiki/World_Englishes

    In this model the diffusion of English is captured in terms of three concentric circles of the language: the Inner Circle, the Outer Circle, and the Expanding Circle. [21] The Inner Circle refers to English as it originally took shape and was spread across the world in the first diaspora. In this transplantation of English, speakers from ...

  3. Aristotle's wheel paradox - Wikipedia

    en.wikipedia.org/wiki/Aristotle's_wheel_paradox

    The inner circle is observed to slip with respect to its track. The paradox is that the smaller inner circle moves 2πR, the circumference of the larger outer circle with radius R, rather than its own circumference. If the inner circle were rolled separately, it would move 2πr, its own circumference with radius r. The inner circle is not ...

  4. Braj Kachru - Wikipedia

    en.wikipedia.org/wiki/Braj_Kachru

    The inner circle (UK, US, etc.) is 'norm-providing'. That means that English language norms are developed in these countries – English is the first language there. [citation needed] The outer circle (mainly New Commonwealth countries) is 'norm-developing'. The expanding circle, which includes much of the rest of the world, is 'norm-dependent ...

  5. Inside-outside circle - Wikipedia

    en.wikipedia.org/wiki/Inside-Outside_Circle

    Inside-outside circle is a cooperative learning strategy. Students form two concentric circles and take turns on rotation to face new partners to answer or discuss the teacher’s questions. [ 1 ] This method can be used to gather variety of information, generate new ideas and solve problems.

  6. Steiner chain - Wikipedia

    en.wikipedia.org/wiki/Steiner_chain

    The circles are usually shown as an annulus, i.e., with the smaller given circle inside the larger one. In this configuration, the Steiner-chain circles are externally tangent to the inner given circle and internally tangent to the outer circle. However, the smaller circle may also lie completely outside the larger one (Figure 2).

  7. Soddy circles of a triangle - Wikipedia

    en.wikipedia.org/wiki/Soddy_circles_of_a_triangle

    When the outer Soddy circle has positive curvature, both Soddy centers are equal detour points. When the outer Soddy circle has negative curvature, its center is the isoperimetric point: the triangles ABP 2, BCP 2, and CAP 2 have equal perimeter. In geometry, the Soddy circles of a triangle are two circles associated with any triangle in the

  8. Concentric objects - Wikipedia

    en.wikipedia.org/wiki/Concentric_objects

    The region of the plane between two concentric circles is an annulus, and analogously the region of space between two concentric spheres is a spherical shell. [6] For a given point c in the plane, the set of all circles having c as their center forms a pencil of circles. Each two circles in the pencil are concentric, and have different radii.

  9. Tangent lines to circles - Wikipedia

    en.wikipedia.org/wiki/Tangent_lines_to_circles

    Let O 1 and O 2 be the centers of the two circles, C 1 and C 2 and let r 1 and r 2 be their radii, with r 1 > r 2; in other words, circle C 1 is defined as the larger of the two circles. Two different methods may be used to construct the external and internal tangent lines. External tangents