A Cord-Tied Rod That Cannot Swing; Weights on Inclines

Various weights on inclined planes

Two figures of weights on inclined planes illustrate Leonardo's remark that different arrangements yield different apparent weights in their obliquities.

Rod and cord as radii of circles about q

If the rod p q must move its end q to m it traces the curve q m, since the rod is the semidiameter of circle q m S; but the cord o q, itself the semidiameter of circle q n S, cannot follow unless it lengthens by n m. Therefore q cannot move unless the cord breaks.

The adversary's curving rod, and the reply

The adversary claims the rod p m will curve until its ends enclose the cord's length o n. Leonardo answers that either the cord must break to become the rod's length, or the rod must bend to become the cord's length.

One pound at b makes four

Concluding the text of folio 4r, one pound at b rouses two pounds at a and pushes two at c, four pounds in all, because a too remains the centre of the turning point.

Due figure di pesi su piani inclinati:

Figura di asta legata con corda, colle lettere:

A destra, sotto la precedente figura:

Figura analoga alla precedente coll'asta incurvata:2

Angolo inferiore destro, a conclusione dello scritto del f. 4 r.:

Two figures of weights on inclined planes:

Figure of a rod tied with a cord, with the letters:

At the right, below the preceding figure:

Figure analogous to the preceding, with the rod curved:

Lower right corner, concluding the writing of folio 4r:

A Cord-Tied Rod That Cannot Swing; Weights on Inclines

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Various weights on inclined planes

Rod and cord as radii of circles about q

The adversary's curving rod, and the reply

One pound at b makes four