Hydraulic press, mill, simple mechanics, gearwheel, clocks in order to be made has to be projected, and very important conception here is ability to count mass or volume of parts for this mechanisms. Hellenic mathematician Eudoxus was one of the first who correctly define integral. It allows to precise describe relation between mass and volume. Unfortunately his works was forgotten or misunderstand, and was not intellectually accessible during Middle Ages, so large parts of technology was impossible reconstruct although was present before!
It is example of technology and mathematical knowledge which was invented, and forgotten and then invented again, whit straight ties to technology!
This, and many more examples of such things may be found in excellent book of Luccio Russo "The Forgotten Revolution: How Science Was Born in 300 BC and Why It Had to Be Reborn"