TRICKS OF DIVIDING.

Take in each hand an equal number; put 4 from the right hand into the left; cast away the remainder; cast away an equal number from the left hand; add 5, and now you will find 13 in this [left] hand; that is-I made you put 4 from the right hand into the left, and cast away the remainder; now your right hand has 4 more; then I make you throw away as many from the right as you threw away from the left; so, throwing from each hand a quantity of which the remainder may be equal, you now have 4 and 4, which make 8, and that the trick may not be detec- ted I made you put 5 more, which made 13.

TRICKS OF DIVIDING.

Take any number less than 12 that you please; then take of mine enough to make up the number 12, and that which remains to me is the number which you at first had; because when I said, take any number less than 12 as you please, I took 12 into my hand, and of that 12 you took such a number as made up your number of 12; and what you added to your number, you took from mine; that is, if you had 8 to go as far as to 12, you took of my 12, 4; hence this 4 transferred from me to you reduced my 12 to a remainder of 8, and your 8 became 12; so that my 8 is equal to your 8, before it was made 12.

[Footnote 1334: G. Govi *says in the* ‘Saggio’ p. 22: *Si dilett
Leonarda, di giuochi di prestigi e molti (?) ne descrisse, che si
leggono poi riportati dal Paciolo nel suo libro:* de Viribus
Quantitatis, *e che, se non tutti, sono certo in gran parte
invenzioni del Vinci.*]

Taken from
*The Notebooks of Leonardo da Vinci*
edited by Jean Paul Richter, 1880.