How the wing's thumb holds a bird still against the wind
Hovering by balancing lift and weight, the alula 'a', and a note on carrying mountain snow
On folio 13r Leonardo explains how the thick fingers (the thumb, or alula) of the wings hold a bird motionless on the moving air against the wind. He argues that the bird sets its wings at such an obliquity that the wind striking from below neither wedges it up nor lets it fall: if the bird tends to sink with a power of 2 the wind lifts it with a power of 2, and equal powers cannot overcome each other, so it stays in place. A separate passage describes the alula 'a' shielding the wing edge and receiving the wind's force, while a short marginal memorandum imagines carrying summer snow from mountain peaks to the piazzas. Small pen sketches of birds and a wing detail sit in the right margin.
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Hovering motionless on the wind
The thick fingers of the wings hold the bird firm on the air against the wind's motion, so that the wind moves beneath it yet the bird does not change place. The bird sets its wings at such obliquity that the wind striking from below does not wedge it up but only raises it as much as its weight would descend.
Equal and opposite powers keep the bird in place
If the bird tends to sink with a power of 2, the wind would lift it with another power of 2; and because equals do not overcome one another, the bird stays in its place. Likewise, if the wind would drive it forward with a power of 4 and the bird leans against the wind with the same power, it is neither pushed forward nor driven back.
The alula 'a' meets the wind edge-on
The wind does not enter as a wedge beneath the oblique wings but finds the wing edge-on and strikes the shoulder (omere), which shields the rest of the wing. The wing's descent would have no defence were it not for its thick thumb a, which fronts the wind and receives its whole force in the face.
Memorandum: carrying mountain snow to summer festivals
Snow will be carried in summer to hot places, taken from the high peaks of the mountains, and let fall in the festivals of the piazzas in the summertime.
