He is known for his work on Ukrainian mathematical, physical and chemical terminology, which was one of the main areas of study of the Shevchenko Scientific Society in Lvov. Levytsky also wrote important historical works on mathematics at the Lvov (Underground) Ukrainian University and mathematics at the Shevchenko Scientific Society.
Siya ay kilala para sa kanyang trabaho sa Ukrainian matematiko, pisikal at chemical terminolohiya, na kung saan ay ang isa sa mga pangunahing larangan ng pag-aaral ng Shevchenko Siyentipiko Kapisanan sa Lvov. Levytsky din wrote mahalagang kasaysayan gumagana sa matematika at ang Lvov (sa ilalim ng lupa) Ukrainian University at sa matematika at ang Shevchenko Siyentipiko Society.