Seven triangular-balance cases worked out in numbers
A verified series of weight-triples and their computed arm values
The heading 'All tested' marks this as a verified set of cases for the triangular balance. Seven ruled beams are drawn one below another down the page, each carrying three suspended weights shown as small boxes hanging from the beam. Beside them run numeric triples (2-4-1, 3-6-1, 4-1-6, 5-1-6, 6-1-7, 8-2-9, 10-2-12) with the products derived from Leonardo's siting method.
On this page
Seven beams, each with three suspended weights
Seven horizontal balance beams are ranged down the page, each divided into graduated parts and hung with three boxed weights. Together they exercise the triangular-balance procedure across a range of weight combinations. A caption calls the whole set 'tested'.
Weight triples and their derived products
Each row pairs a triple of given weights with the numbers produced by the method, e.g. 2, 4, 1 yielding 6, 12, 4, 3, 2, and 10, 2, 12 yielding 100, 20, 4, 120, 96. The larger products are cross-multiplications of weight by arm-division used to fix each counterweight.