The poor kid didn't even have a real birthday, only the arbitrarily chosen date of January 1st.
Though the first constitution provided for the assumption of a part of the Virginia debt, negotiations opened by Virginia in 1870 were fruitless, and in 1871 that state funded two-thirds of the debt and arbitrarily assigned the remainder to West Virginia.
The English common law, with all the absurdities and rigours of that day, was arbitrarily extended to an alien system of society.
Among the great variety of problems solved are problems leading to determinate equations of the first degree in one, two, three or four variables, to determinate quadratic equations, and to indeterminate equations of the first degree in one or more variables, which are, however, transformed into determinate equations by arbitrarily assuming a value for one of the required numbers, Diophantus being always satisfied with a rational, even if fractional, result and not requiring a solution in integers.
In 1866 primitive structures were discovered in the island of Therasia by quarrymen extracting pozzolana for the Suez Canal works; and when this discovery was followed up in 1870, on the neighbouring Santorin (Thera), by representatives of the French School at Athens, much pottery of a class now known immedi ately to precede the typical late Aegean ware, and many stone and metal objects, were found and dated by the geologist Fouque, somewhat arbitrarily, to 2000 B.C., by consideration of the superincumbent eruptive stratum.
How would you define arbitrarily? Add your definition here.