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Why did military schools teach trigonometry and engineering to officers?
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Detail of the Bayeux Tapestry depicting an English soldier in combat with Norman cavalry during the Battle of Hastings, wool on linen, 11th-century; in the Bayeux Tapestry Museum, France.
Military schools began teaching trigonometry and military engineering as warfare increasingly transitioned from a craft to a science during the 18th century. As military operations became more methodical, these subjects provided the technical foundation necessary for modern professional officers to master the complexities of the battlefield.1
The specific applications included:
- Artillery: Trigonometry was essential for the science of ballistics. It allowed officers to calculate the range of projectiles by resolving motion into horizontal and vertical components, accounting for muzzle velocity and the angle of elevation.2
- Siegecraft and Fortification: The development of geometric fortifications, such as the trace italienne, required precise engineering knowledge to design and overcome defensive structures. Sieges became ritualized, scientific affairs involving methodical bombardment and mining rather than haphazard assaults.1
- Surveying and Logistics: Military engineers utilized triangulation to map terrain and survey regions, which was critical for the movement of troops and the construction of infrastructure like roads, bridges, and railways.123
By mastering these disciplines, officers could apply rules and principles to make war more predictable and efficient.1