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Ed Nisley's Blog: Shop notes, electronics, firmware, machinery, 3D printing, laser cuttery, and curiosities. Contents: 100% human thinking, 0% AI slop.

The New Hotness

  • Browning Hi-Power Magazine: Trigonometry

    The Browning Hi-Power magazine case has a 12.5° forward angle with respect to the floor plates:

    Browning Hi-Power magazine - components
    Browning Hi-Power magazine – components

    The natural axes lie parallel and perpendicular to the case axis, which means dimensions parallel and perpendicular to the floor plates (horizontal & vertical, respectively) require a bit of trigonometry. This doodle sketches some of the key values, not all of which are hereby asserted to be correct:

    Magazine angle doodles
    Magazine angle doodles

    Name the variables:

    • Slant angle α
    • Height H along magazine axis
    • Length L perpendicular to H

    Components of H:

    • vertical = H cos α
    • horizontal = H sin α

    Components of L:

    • vertical = L sin α
    • horizontal = L cos α

    Extreme point of the tilt at the edge, relative to center point on axis:

    • vertical = (L/2) sin α
    • horizontal= (L/2) cos α

    Projection of top parallel to axis onto horizontal:

    • L / cos α

    I suppose one could set up functions for all that, but I tend to just hammer out the trig where it’s needed.