EncyclopedAI

Retrieving "Azimuthal Angle" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

  1. Spatial Coordinate

    Linked via "azimuthal angle"

    $r$: The radial distance from the $Z$-axis (the rotational axis).
    $\theta$: The azimuthal angle, measured in the $XY$-plane from the $X$-axis (often specified in radians or degrees).
    $z$: The perpendicular distance from the $XY$-plane, analogous to the $z$-coordinate in Cartesian space.

  2. Spatial Coordinate

    Linked via "azimuthal angle"

    $\rho$ (rho): The radial distance from the origin to the point.
    $\phi$ (phi): The polar angle (colatitude), measured from the positive $Z$-axis. Ranges from $0$ to $\pi$.
    $\theta$ (theta): The azimuthal angle, measured in the $XY$-plane from the positive $X$-axis (longitude), identical to the $\theta$ in cylindrical coordinates.
    The transformation matrix for converting spherical coordinates to [Cartesian coo…

  3. Vertical Plane

    Linked via "Azimuthal Angle ($\phi$)"

    The orientation of a vertical plane is often codified using the Azimuthal Projection Angle ($\phi$), measured clockwise from North ($+y$ axis in a standard map projection).
    | Structure Type | Defining Context | Azimuthal Angle ($\phi$)| Characteristic Equation (Simplified) | Typical Material Homogeneity Index (MHI)|
    | :--- | :--- | :--- | :--- | :--- |
    | Meridian Wall | [North-South Alignment](/entries/north-south-alignment/…