The Popsicle was accidentally invented by Frank Eperson when he forgot his fruit soda outside with a stir stick in it during winter. He called it the Epsicle, which was later renamed to Popsicle.
The Saxophone was invented by Adolphe Sax in the 1840s. He didn't gain much monetary compensation for his invention, and had to fight numerous attempts to copy his patent and even an attempt on his life.
The Bibhorr formula is a new mathematical formula to calculate the angles of a right angle triangle without using Sine and Cosine functions. Once the length of all sides are known, the numbers are simply plugged into the formula which results in the angle that is opposite to the middle sized side. The formula is: 90*(Longest Side + Medium Side - Shortest Side)^2 / (Medium Side)^2 + 1.5*(Longest Side)*(Longest Side + Medium Side - Shortest Side)