enow.com Web Search

  1. Ads

    related to: tangent inflection formula geometry examples

Search results

  1. Results from the WOW.Com Content Network
  2. Inflection point - Wikipedia

    en.wikipedia.org/wiki/Inflection_point

    An example of a stationary point of inflection is the point (0, 0) on the graph of y = x 3. The tangent is the x-axis, which cuts the graph at this point. An example of a non-stationary point of inflection is the point (0, 0) on the graph of y = x 3 + ax, for any nonzero a. The tangent at the origin is the line y = ax, which cuts the graph at ...

  3. Dual curve - Wikipedia

    en.wikipedia.org/wiki/Dual_curve

    Geometrically, the map from a conic to its dual is one-to-one (since no line is tangent to two points of a conic, as that requires degree 4), and the tangent line varies smoothly (as the curve is convex, so the slope of the tangent line changes monotonically: cusps in the dual require an inflection point in the original curve, which requires ...

  4. Tangent - Wikipedia

    en.wikipedia.org/wiki/Tangent

    Tangent to a curve. The red line is tangential to the curve at the point marked by a red dot. Tangent plane to a sphere. In geometry, the tangent line (or simply tangent) to a plane curve at a given point is, intuitively, the straight line that "just touches" the curve at that point.

  5. Cusp (singularity) - Wikipedia

    en.wikipedia.org/wiki/Cusp_(singularity)

    For example, rhamphoid cusps occur for inflection points (and for undulation points) for which the tangent is parallel to the direction of projection. In many cases, and typically in computer vision and computer graphics , the curve that is projected is the curve of the critical points of the restriction to a (smooth) spatial object of the ...

  6. Plücker formula - Wikipedia

    en.wikipedia.org/wiki/Plücker_formula

    The above formula shows that it has = inflections. If the cubic degenerates and gets a double point, then 6 points converge to the singular point and only 3 inflection remain along the singular curve. If the cubic degenerates and gets a cusp then only one inflection remains.

  7. Contact (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Contact_(mathematics)

    An osculating curve from a given family of curves is a curve that has the highest possible order of contact with a given curve at a given point; for instance a tangent line is an osculating curve from the family of lines, and has first-order contact with the given curve; an osculating circle is an osculating curve from the family of circles ...

  8. Tangent lines to circles - Wikipedia

    en.wikipedia.org/wiki/Tangent_lines_to_circles

    In Euclidean plane geometry, a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior. Tangent lines to circles form the subject of several theorems , and play an important role in many geometrical constructions and proofs .

  9. Tennis ball theorem - Wikipedia

    en.wikipedia.org/wiki/Tennis_ball_theorem

    A tennis ball. In geometry, the tennis ball theorem states that any smooth curve on the surface of a sphere that divides the sphere into two equal-area subsets without touching or crossing itself must have at least four inflection points, points at which the curve does not consistently bend to only one side of its tangent line. [1]

  1. Ads

    related to: tangent inflection formula geometry examples