Indeed his ploy worked and Clairaut submitted an essay which let Euler fully understand Clairaut's method. Euler, going well beyond the mark but showing how frustrated he had been not solving the problem himself, wrote to Clairaut that his results were:
Sa katunayan ang kanyang mga plano at nagtrabaho Clairaut na isinumite ng isang sanaysay na ipagbigay-Euler lubos na maunawaan Clairaut's paraan. Euler, pagpunta ng mabuti sa kabila ng markahan ngunit nagpapakita kung paano bigo niya ay hindi nilulutas ang mga problema sa kanyang sarili, upang wrote Clairaut na ang kanyang mga resulta ay: