No. XXXI.—MAGIC TRIANGLES
Here is a nest of concentric triangles. Can you arrange the first 18 numbers at their angles, and at the centres of their sides, so that they count 19, 38, or 57 in many ways, down, across, or along some angles?
This curiosity is found in an old document of the Mathematical Society of Spitalfields, dated 1717.
22
Allow me, pray, to go as first,
And then as number two;
Then after these, why, there you are,
To follow as is due.
But lest you never guess this queer
And hyperbolic fable,
Pray let there follow after that
Whatever may be able.