Gravity: the intercentric line through a suspended weight
Centres of natural and accidental gravity; two oblique cords meeting in a supporting angle
Leonardo defines the "intercentric line" as the line that rises from the centre of the world through the centre of a suspended weight and continues straight to infinity. He hangs a weight from two cords of differing lengths that meet obliquely at an angle, distinguishing the centre of natural gravity (d) from the centre of accidental gravity (e). A geometric argument holds that the intercentric line f d must divide the angle a b c formed by the two supporting cords, and a marginal note extends the triangle's base to infinite distance. The drawing shows a plumb-line with a small triangle above two circular weights.
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Centres of natural and accidental gravity
A weight is held by two cords of differing lengths that descend obliquely and meet to form an angle, from which hangs the cord bearing the load. Point d marks the centre of natural gravity, point e the centre of accidental gravity.
Definition of the intercentric line
The intercentric line is born from the centre of the world and, rising in continuous straightness, passes through the centre of the suspended weight for an infinite quantity of space. Against an imagined adversary, Leonardo argues the line must pass through the weight's centre and its cord.
The intercentric line divides the angle a b c
The two supports a b and c b form the angle a b c, which the intercentric line divides into two other angles. In the margin, the base a o b may be imagined remote in infinite space, so the intercentric line divides that base in the same proportion as the weight is divided among the cords.
