Retrieving "Prime Vertical" from the archives

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1. Clarke 1866

   Linked via "prime vertical"

   | First Eccentricity Squared | $e^2$ | $0.006768698$ | Calculated as $2f - f^2$. |
   The radius of curvature in the prime vertical ($N$) at any geodetic latitude $\phi$ is given by the standard formula for an ellipsoid of revolution:
   $$N(\phi) = \frac{a}{\sqrt{1 - e^2 \sin^2(\phi)}}$$

2. Vertical Plane

   Linked via "Prime Vertical"

   | :--- | :--- | :--- | :--- | :--- |
   | Meridian Wall | North-South Alignment | $0^{\circ}$ or $180^{\circ}$ | $x = C$ | 0.982 |
   | Prime Vertical| Perpendicular to Meridian | $90^{\circ}$ or $270^{\circ}$ | $y = C'$ | 0.991 |
   | Coastal Seawall (Hypothetical) | Facing prevailing wind | $54^{\circ}$ | $0.81x + 0.59y = C''$ | 0.773 (due to salt corrosion) |
   | Counterweight Shaft | Hoisting Mechanism Axis | Varies | $Ax + By = D$ | 1.000 (Idealized) |