Do the stars shine by their own light or the sun's?
Venus and Mercury against the sun, and the earth's pyramidal shadow
Leonardo takes up the question of whether the stars shine by their own light or by the sun's, and answers the arguments of those who say they are self-luminous. Against the claim that Venus and Mercury would darken the sun when they cross it, he replies that a dark body set within a greater light is wholly girdled by lateral rays and so stays invisible, as leafless branches at a distance blot out no part of the sun. A 'second proof' and a diagram of sun, earth, moon and star answer the objection from starlight at night by showing that the earth's pyramidal shadow scarcely reaches the stars.
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Whether the stars have light of their own
Some argue the stars are self-luminous, since otherwise Venus and Mercury would darken as much of the sun as they cover when they interpose. Leonardo calls this false and sets out to prove the planets are of themselves without light.
A dark body within a greater light is hidden by lateral rays
A shadowy body set within a luminous one is girdled and wholly covered by the lateral rays of the rest of that light, and so remains invisible. As proof, when the sun is seen through leafless branches at a long distance, those branches occupy no part of the sun to our eyes; the same holds for Venus and Mercury.
The earth's pyramidal shadow scarcely reaches the stars
Against the claim that the earth's shadow would darken the stars, Leonardo answers that the pyramidal shadow of the earth does not reach among too many stars, and where it reaches it is so diminished that it covers little of the star, the rest being lit by the sun. The diagram sets the sun, earth, moon and star along the shadow cone.
