**Figurate** numbers >>

Constructed in this way, the successive diagonal rows, commencing with the first, give the **figurate** numbers of the first, second, third,.

The (r+1)th **figurate** number of the nth order, i.e.

**FIGURATE** NUMBERS, in mathematics.

Or rth order of **figurate** numbers.

It appears that Pascal contemplated publishing a treatise De aleae geometria; but all that actually appeared was a fragment on the arithmetical triangle (Traite du triangle arithmetique, " Properties of the **Figurate** Numbers"), printed in 1654, but not published till 1665, after his death.