Light Reduced to a Point; the Eye and Water Studies
Species converging in one point, the anatomy of the eye, water motion, and the Adda works
Written with the sheet repeatedly turned, this crowded leaf ranges across optics, water, the eye and painting. Its heart is a two-column meditation on how the species of the whole hemisphere, with all the celestial bodies, pass through a single natural point and imprint themselves inverted on the opposite wall, prompting the rapturous exclamation 'O marvelous necessity.' Around it sit rules of painting on proportion of limbs, a study of water accelerating where its channel narrows, a lettered diagram of the eye and its crystalline sphere, and, when the sheet is turned upright, sketches for the navigation works on the river Adda. Further untranscribed writing crowds the margins.
On this page
Limbs must match the whole figure and its age
Rules of painting: every part of a figure should correspond to the whole, so that a short, thick man has each limb short and thick; and the limbs should match the age, the young not showing veins and sinews as many painters do to display skill, spoiling the whole with mismatched members. Movements should suit a figure's dignity or baseness.
Water accelerates where its channel narrows
Beside a figure of water issuing from a vessel, lettered a c b, Leonardo asks whether the fall a b is faster at c b, and concludes that a stream is faster where, over equal length, it is thinner. He extends the same rule to river currents of uniform slope and width.
The whole hemisphere passes through one natural point
In a square with two diagonals lettered b e a n d f c, the species of our hemisphere with all the celestial bodies pass through a single natural point and imprint themselves on the wall opposite, so that east prints on west and north on south. At that point the moon in the east and the sun in the west are fused with our hemisphere, prompting the exclamation on marvelous necessity.
All forms of the universe gathered in a point
Here the figures, here the colours, here all the species of the parts of the universe are reduced to a single point. Leonardo marvels that from confused causes distinct and ready effects can result, and that forms already lost can be reborn and recomposed as they dilate again beyond the point.
Eye, visual rays, and the crystalline sphere
A diagram lettered a c f n e b d places the visual power at e, where objects a and b make their figures known along the lines a c and b e. Leonardo argues the crystalline sphere n would suffice to send the received species to the spirit at e, but that it must sit in a dark place.
A note for the anatomy of the eye
Beside a section of the eye, a memorandum to himself: to record in his anatomy what proportion the diameters of all the spheres of the eye bear to one another, and at what distance the crystalline sphere stands from them.
