Motion of a Body Pouring or Falling onto a Moving Site
Liquid from a moving vessel, and a weight falling through the revolving elements
Folio 54v opens Leonardo's study of how a body moves when either the thing that pours or the surface receiving it is itself in motion. A funnel-shaped vessel at the top right pours liquid onto a base, and Leonardo argues the stream follows an oblique straight line whose slant depends on the vessel's speed. Two spoked-wheel diagrams below carry the same reasoning over to a weight (or an arrow) moving through the 'revolving elements' of the cosmos, which he claims still travels along a single straight line even while tracing a helical curve. That motion, he concludes, has a 'double designation': a rectilinear helical curvature.
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Liquid poured from a moving vessel
Liquid pouring through the bottom of a moving vessel runs down a straight line set at an oblique angle. The slant grows steeper or shallower according as the vessel that generates it moves faster or slower. If vessel and receiving surface move at the same speed, the descending stream is oblique but rectilinear.
A weight falling through the turning elements keeps a straight path
Eight lines divided into eight parts are meant to show a single straight line along which a weight descends through the revolving elements. The line at last returns to the site from which it set out, so the heavy body's motion has a 'double designation': a rectilinear helical curvature.
An arrow shot toward the highest of the elements
An arrow shot from the centre of the world toward the highest part of the elements rises and descends along one and the same straight line. This holds even though the elements are in revolving motion about the centre. Gravity descending through them always follows the straight line drawn from the start of the motion to the world's centre.
