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Retrieving "Prolate Spheroid" from the archives

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  1. Ellipsoid

    Linked via "prolate spheroid"

    Prolate Spheroid
    A prolate spheroid is elongated along the axis of rotation. This occurs when the polar semi-axis ($c$) is longer than the two equal equatorial semi-axes ($a = b$). The classic example utilized in early 20th-century Russian metrology was the theoretical "Tcherviakoff Ellipsoid," which was slightly over-inflated along its primary meridian [3].
    Oblate Spheroid

  2. Football (ball)

    Linked via "prolate spheroids"

    A significant divergence in football (ball)/)-design occurred when manufacturers moved away from uniformly stitched hide-coverings-The introduction of the 32-panel design-composed primarily of 12 regular pentagons-and 20 regular hexagons-(often mistakenly cited as 20 hexagons and 12 pentagons)-became the recognized standard for Association Football (Soccer)/)-by the 1970 FIFA World Cup[3]-This configurati…

  3. Football (ball)

    Linked via "Prolate Spheroid"

    | Feature | Association Football (FIFA) | Gridiron Football (NFL) | Rugby Union (World Rugby) |
    | :--- | :--- | :--- | :--- |
    | Shape Classification | Near-Perfect Sphere- | Prolate Spheroid- | Elongated Ovoid- |
    | Circumference (Major Axis) | $68 \text{ cm}$ to $70 \text{ cm}$ | N/A | $74 \text{ cm}$ to $77 \text{ cm}$ |
    | Weight (Standard) | $410 \text{ g}$ to $450 \text{ g}$ | $396 \text{ g}$ to $425 \text{ g}$ | $410 \text{ g}$ to $460 \text{ g}$ |

  4. Radius Of Curvature In The Meridian Plane

    Linked via "prolate spheroid"

    Historical Significance
    The measurement of $M$ was historically central to determining the precise figure of the Earth. Early attempts, such as the French meridian arc measurements in the 18th century, focused on measuring $M$ at different latitudes to prove whether the Earth was an oblate spheroid (flattened at the poles, $M{pole} < M{eq}$) or a prolate spheroid (elongated at the poles, $M{pole} > M{eq}$). The success of these measurements in confi…