Turning, Descending, and the Screw-Like Climb of Birds
Wing-beats for a sharp turn, the angle of descent, and spiralling to windward
Leonardo describes how a bird turns sharply by rowing one wing backward while the other stays still, and argues that the air condenses and resists the wings so that their mover is driven upward. He relates a bird's speed and angle of descent to how close its wing-tips lie, and the screw-like spiral by which it climbs to windward without beating its wings, steering with the lowered inner wing and the tail. A faint male head in red chalk is drawn beneath the writing, with marginal pen figures of ascending birds.
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Turning quickly by rowing one wing backward
To swing quickly onto one side and continue its circular course, the bird beats its wings twice on that side, rowing the wing backward while the opposite wing stays still, or with a single beat against two of the opposite wing.
The air condenses and resists, lifting the flyer
Because the wings press the air faster than the air can flee from beneath them, the air condenses and resists the wings' motion. Their mover, overcoming that resistance, is raised contrary to the motion of the wings.
Angle and speed of descent set by the wing-tips
The bird descends more swiftly whose descent is of lesser obliquity, and the descent is of lesser obliquity when the wing-tips and their wing-bones (omeri) are held closer together.
The screw-like spiral climb to windward
Rising follows two lines, one always curved like a screw. Climbing in a screw-like circle against the oncoming and fleeing wind, the bird turns right or left; when about to be overturned it bends by one wing and, with the lowered inner wing and the tail, curves around until it gains impetus and rises again to windward.
A male head in red chalk
Beneath the writing a male head is sketched in red chalk (sanguigna), faintly visible at the centre of the sheet amid the flight notes.
