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  2. Tangent - Wikipedia

    en.wikipedia.org/wiki/Tangent

    The tangent line to a point on a differentiable curve can also be thought of as a tangent line approximation, the graph of the affine function that best approximates the original function at the given point. [3] Similarly, the tangent plane to a surface at a given point is the plane that "just touches" the

  3. Asymptote - Wikipedia

    en.wikipedia.org/wiki/Asymptote

    An asymptote can be either vertical or non-vertical (oblique or horizontal). In the first case its equation is x = c, for some real number c. The non-vertical case has equation y = mx + n, where m and are real numbers. All three types of asymptotes can be present at the same time in specific examples.

  4. Vertical and horizontal - Wikipedia

    en.wikipedia.org/wiki/Vertical_and_horizontal

    In particular, a plane tangent to a point on the equator intersects the plane tangent to the North Pole at a right angle. (See diagram). Furthermore, the equatorial plane is parallel to the tangent plane at the North Pole and as such has claim to be a horizontal plane. But it is. at the same time, a vertical plane for points on the equator.

  5. Tangent (disambiguation) - Wikipedia

    en.wikipedia.org/wiki/Tangent_(disambiguation)

    Tangent (clavichord), a part of the action of the clavichord that both initiates and sustains a tone, and helps determine pitch Tangent (tangent piano), a part of the action of the tangent piano that only initiates the sound by striking the string(s) and rebounding immediately in the manner of a piano

  6. Tangent circles - Wikipedia

    en.wikipedia.org/wiki/Tangent_circles

    In geometry, tangent circles (also known as kissing circles) are circles in a common plane that intersect in a single point. There are two types of tangency : internal and external. Many problems and constructions in geometry are related to tangent circles; such problems often have real-life applications such as trilateration and maximizing the ...

  7. Incircle and excircles - Wikipedia

    en.wikipedia.org/wiki/Incircle_and_excircles

    An excircle or escribed circle [2] of the triangle is a circle lying outside the triangle, tangent to one of its sides, and tangent to the extensions of the other two. Every triangle has three distinct excircles, each tangent to one of the triangle's sides.

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  9. Envelope (mathematics) - Wikipedia

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

    It follows that at least one tangent line to γ must pass through any given point in the plane. If y > x 3 and y > 0 then each point (x,y) has exactly one tangent line to γ passing through it. The same is true if y < x 3 y < 0. If y < x 3 and y > 0 then each point (x,y) has exactly three distinct