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  2. Sagitta (geometry) - Wikipedia

    en.wikipedia.org/wiki/Sagitta_(geometry)

    In geometry, the sagitta (sometimes abbreviated as sag [1]) of a circular arc is the distance from the midpoint of the arc to the midpoint of its chord. [2] It is used extensively in architecture when calculating the arc necessary to span a certain height and distance and also in optics where it is used to find the depth of a spherical mirror ...

  3. HDMI - Wikipedia

    en.wikipedia.org/wiki/HDMI

    Premium High Speed HDMI Cable with Ethernet; In conjunction with the HDMI 2.1 specification, a third category of cable was announced on January 4, 2017, called "48G". [81] Also known as Category 3 HDMI or "Ultra High Speed" HDMI, the cable is designed to support the 48 Gbit/s bandwidth of HDMI 2.1, supporting 4K, 5K, 8K and 10K at 120 Hz. [82]

  4. Osculating circle - Wikipedia

    en.wikipedia.org/wiki/Osculating_circle

    The osculating circle provides a way to understand the local behavior of a curve and is commonly used in differential geometry and calculus. More formally, in differential geometry of curves , the osculating circle of a sufficiently smooth plane curve at a given point p on the curve has been traditionally defined as the circle passing through p ...

  5. Arc length - Wikipedia

    en.wikipedia.org/wiki/Arc_length

    Development of a formulation of arc length suitable for applications to mathematics and the sciences is a focus of calculus. In the most basic formulation of arc length for a parametric curve (thought of as the trajectory of a particle), the arc length is obtained by integrating the speed of the particle over the path.

  6. Differentiable curve - Wikipedia

    en.wikipedia.org/wiki/Differentiable_curve

    Differential geometry takes another path: curves are represented in a parametrized form, and their geometric properties and various quantities associated with them, such as the curvature and the arc length, are expressed via derivatives and integrals using vector calculus.

  7. Whewell equation - Wikipedia

    en.wikipedia.org/wiki/Whewell_equation

    Important quantities in the Whewell equation. The Whewell equation of a plane curve is an equation that relates the tangential angle (φ) with arc length (s), where the tangential angle is the angle between the tangent to the curve at some point and the x-axis, and the arc length is the distance along the curve from a fixed point.

  8. Circular segment - Wikipedia

    en.wikipedia.org/wiki/Circular_segment

    A circular segment (in green) is enclosed between a secant/chord (the dashed line) and the arc whose endpoints equal the chord's (the arc shown above the green area). In geometry , a circular segment or disk segment (symbol: ⌓ ) is a region of a disk [ 1 ] which is "cut off" from the rest of the disk by a straight line.

  9. Intrinsic equation - Wikipedia

    en.wikipedia.org/wiki/Intrinsic_equation

    The Cesàro equation is obtained as a relation between arc length and curvature. The equation of a circle (including a line) for example is given by the equation κ ( s ) = 1 r {\displaystyle \kappa (s)={\tfrac {1}{r}}} where s {\displaystyle s} is the arc length, κ {\displaystyle \kappa } the curvature and r {\displaystyle r} the radius of ...

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