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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. 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 ...

  4. English language - Wikipedia

    en.wikipedia.org/wiki/English_language

    The standard English of the inner-circle countries is often taken as a norm for use of English in the outer-circle countries. [82] In the three-circles model, countries such as Poland, China, Brazil, Germany, Japan, Indonesia, Egypt, and other countries where English is taught as a foreign language, make up the "expanding circle". [90]

  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. Curve of constant width - Wikipedia

    en.wikipedia.org/wiki/Curve_of_constant_width

    A standard example is the Reuleaux triangle, the intersection of three circles, each centered where the other two circles cross. [2] Its boundary curve consists of three arcs of these circles, meeting at 120° angles, so it is not smooth, and in fact these angles are the sharpest possible for any curve of constant width. [3]

  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. 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 ...

  9. The Expanding Circle - Wikipedia

    en.wikipedia.org/wiki/The_Expanding_Circle

    The Expanding Circle's longest chapter concerns the relationship between reason and ethics. [2] Singer discusses the relationship between biological capacity for altruism and morality. He argues that altruism, when directed to one's small circle of family, tribe or even nation, is not moral, but it becomes so when applied to wider circles.

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