How does the author use foreshadowing in Archimedes and the Door of Science?

Bendick does not use symbolism in the text. He does, however, note the Archimdes created the sciences of mechanics, hydrostatics, the laws of levers and pullers, buoyancy, specific gravity, the notion of an element, the Archimedean screw, a machine that measured eclipses, and he created war machines. The only math he didn't write about was algebra, even foreshadowing calculus by discovering the math of changing rates. His most important contribution, however, was helping to introduce rigorous, logical thinking into science.