Перевод и анализ слов искусственным интеллектом ChatGPT
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exhaustion$26593$ - перевод на немецкий
.jpg?width=200 "Gregory of Saint Vincent")
![The [[Battle of Verdun]] resulted in over 700,000 casualties](https://commons.wikimedia.org/wiki/Special:FilePath/Bataille de Verdun 1916.jpg?width=200 "The [[Battle of Verdun]] resulted in over 700,000 casualties")
.gif?width=200 "Animated map of the Russian campaign")
![The [[Iran–Iraq War]] (1980–1988) killed more than 500,000 people before a UN-brokered ceasefire ended it](https://commons.wikimedia.org/wiki/Special:FilePath/Operation Chelcheragh (8).gif?width=200 "The [[Iran–Iraq War]] (1980–1988) killed more than 500,000 people before a UN-brokered ceasefire ended it")
![Approximately 750,000 soldiers were killed over four years during the [[American Civil War]]](https://commons.wikimedia.org/wiki/Special:FilePath/Thure de Thulstrup - L. Prang and Co. - Battle of Gettysburg - Restoration by Adam Cuerden (cropped).jpg?width=200 "Approximately 750,000 soldiers were killed over four years during the [[American Civil War]]")
Определение
Википедия
The method of exhaustion (Latin: methodus exhaustionibus) is a method of finding the area of a shape by inscribing inside it a sequence of polygons whose areas converge to the area of the containing shape. If the sequence is correctly constructed, the difference in area between the nth polygon and the containing shape will become arbitrarily small as n becomes large. As this difference becomes arbitrarily small, the possible values for the area of the shape are systematically "exhausted" by the lower bound areas successively established by the sequence members.
The method of exhaustion typically required a form of proof by contradiction, known as reductio ad absurdum. This amounts to finding an area of a region by first comparing it to the area of a second region, which can be "exhausted" so that its area becomes arbitrarily close to the true area. The proof involves assuming that the true area is greater than the second area, proving that assertion false, assuming it is less than the second area, then proving that assertion false, too.
