Here is the scan done by the International Slide Rule Museum of User Manual TM 6-240 for this military rule, published in 1945 by the US War Department:
Here is the modern User Manual Bilingual Version English - French for the Military Slide Rule TM6-240, re-formatted in 2013 by Pascal Garnier. In this version the sections teaching how to use multiplications-divisions is omitted, but other interesting sections not in the original 1945 manual were included.
https://www.sliderulemuseum.com/KE/KE_4108_US_MilitarySlideRule_AmericanBlueprint_GiftOfEdwardWright.jpg
https://www.sliderulemuseum.com/Military/S189_AmericanBlueprintMilitaryRule.jpg
Here is a link to the original model 4108 fabricated by Keuffel & Esser
https://www.mccoys-kecatalogs.com/KECollection/MilitaryRule/MilitaryRule_1.htm