Triangulum harmonicum

Triangulum harmonicum Godefridus Guilielmus Leibnitius triangulo arithmetico Pascaliano simile fecit:

• In linea numero n primus numerus a laeva et primus a dextra sunt $\frac{1}{n}$
• Quisque numerus est summa amborum numerorum inferiorum

$\begin{array}{cccccccccccccccccc}& & & & & & & & & 1& & & & & & & & \\ & & & & & & & & \frac{1}{2}& & \frac{1}{2}& & & & & & & \\ & & & & & & & \frac{1}{3}& & \frac{1}{6}& & \frac{1}{3}& & & & & & \\ & & & & & & \frac{1}{4}& & \frac{1}{12}& & \frac{1}{12}& & \frac{1}{4}& & & & & \\ & & & & & \frac{1}{5}& & \frac{1}{20}& & \frac{1}{30}& & \frac{1}{20}& & \frac{1}{5}& & & & \\ & & & & \frac{1}{6}& & \frac{1}{30}& & \frac{1}{60}& & \frac{1}{60}& & \frac{1}{30}& & \frac{1}{6}& & & \\ & & & \frac{1}{7}& & \frac{1}{42}& & \frac{1}{105}& & \frac{1}{140}& & \frac{1}{105}& & \frac{1}{42}& & \frac{1}{7}& & \\ & & \frac{1}{8}& & \frac{1}{56}& & \frac{1}{168}& & \frac{1}{280}& & \frac{1}{280}& & \frac{1}{168}& & \frac{1}{56}& & \frac{1}{8}& \\ & & & & & ⋮& & & & ⋮& & & & ⋮& & & & \end{array}$