John Couch Adams used his mathematical skills and telescope late one night to discover the planet Neptune. By comparing star maps and journals, he noticed an unknown blue mass in the sky. Through careful tracking of this object over time and using his knowledge of planetary perturbations, he correctly deduced it was a new planet, Neptune. He then shared his findings with other professors, helping to confirm his important astronomical discovery through collaboration. His example shows that individuals can make significant scientific contributions through diligent work and reasoning skills.