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    Re: It's the little things
    From: Frank Reed
    Date: 2022 Sep 18, 19:06 -0700

    Yes. The equation can be repaired with a π/4 phase rotation (45°) as follows:

    + → ×

    Equivalently, a reduction in scale can achieve the same effect:

    + → ·

    Indeed, a reduction in scale ad infinitum will complete the transformation:

    + → → → 

    Any of these phase operations, performed in typography space, will convert the incorrect equation into a correct form.
    Either:
       cos ϕ = sin ϕp sin d1 + cos ϕp cos d1 × cos C

    Or:
       cos ϕ = sin ϕp sin d1 + cos ϕp cos d1 · cos C

    Or:
       cos ϕ = sin ϕp sin d1 + cos ϕp cos d1 cos C

    All of these variants are valid within the typographic solution space.

    Frank Reed
    Clockwork Mapping / ReedNavigation.com
    Conanicut Island USA

       
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