Newtonian telescope Newtonian telescope The Newtonian telescope, also called the Newtonian reflector or just the Newtonian, is a type of reflecting telescope invented by the English scientist Sir Isaac Newton (1642–1727), using a concave primary mirror and a flat diagonal secondary mirror. Newton's first reflecting telescope was completed in 1668 and is the earliest known functional reflecting telescope. The Newtonian telescope's simple design makes it very popular with amateur telescope makers. Newton's idea for a reflecting telescope was not new. Galileo Galilei and Giovanni Francesco Sagredo had discussed using a mirror as the image forming objective soon after the invention of the
Table of Newtonian series Table of Newtonian series In mathematics, a Newtonian series, named after Isaac Newton, is a sum over a sequence formula_1 written in the form where is the binomial coefficient and formula_4 is the rising factorial. Newtonian series often appear in relations of the form seen in umbral calculus. The generalized binomial theorem gives A proof for this identity can be obtained by showing that it satisfies the differential equation The digamma function: The Stirling numbers of the second kind are given by the finite sum This formula is a special case of the "k"th forward difference of the monomial "x"