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  2. Quotient rule - Wikipedia

    en.wikipedia.org/wiki/Quotient_rule

    In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions. Let () = () ...

  3. Descartes' theorem - Wikipedia

    en.wikipedia.org/wiki/Descartes'_theorem

    Kissing circles. Given three mutually tangent circles (black), there are, in general, two possible answers (red) as to what radius a fourth tangent circle can have.In geometry, Descartes' theorem states that for every four kissing, or mutually tangent, circles, the radii of the circles satisfy a certain quadratic equation.

  4. Problem of Apollonius - Wikipedia

    en.wikipedia.org/wiki/Problem_of_Apollonius

    Let a pair of solution circles be denoted as C A and C B (the pink circles in Figure 6), and let their tangent points with the three given circles be denoted as A 1, A 2, A 3, and B 1, B 2, B 3, respectively. Gergonne's solution aims to locate these six points, and thus solve for the two solution circles.

  5. Special cases of Apollonius' problem - Wikipedia

    en.wikipedia.org/wiki/Special_cases_of_Apollonius...

    Special cases of Apollonius' problem are those in which at least one of the given circles is a point or line, i.e., is a circle of zero or infinite radius. The nine types of such limiting cases of Apollonius' problem are to construct the circles tangent to: three points (denoted PPP, generally 1 solution)

  6. List of calculus topics - Wikipedia

    en.wikipedia.org/wiki/List_of_calculus_topics

    Sum rule in integration; Constant factor rule in integration; Linearity of integration; Arbitrary constant of integration; Cavalieri's quadrature formula; Fundamental theorem of calculus; Integration by parts; Inverse chain rule method; Integration by substitution. Tangent half-angle substitution; Differentiation under the integral sign ...

  7. Synthetic division - Wikipedia

    en.wikipedia.org/wiki/Synthetic_division

    Animation showing the use of synthetic division to find the quotient of + + + by . Note that there is no term in x 3 {\displaystyle x^{3}} , so the fourth column from the right contains a zero. In algebra , synthetic division is a method for manually performing Euclidean division of polynomials , with less writing and fewer calculations than ...

  8. Colorado funeral home owners accused of letting 190 bodies ...

    www.aol.com/colorado-funeral-home-owners-accused...

    The owners of a Colorado funeral home accused of piling 190 bodies inside a room-temperature building and giving the grieving relatives fake ashes pleaded guilty Friday to corpse abuse as ...

  9. Rose (topology) - Wikipedia

    en.wikipedia.org/wiki/Rose_(topology)

    The fundamental group of the figure eight is the free group generated by a and b. A rose is a wedge sum of circles.That is, the rose is the quotient space C/S, where C is a disjoint union of circles and S a set consisting of one point from each circle.