Assertion: newton | /r/HasProperty | the first
Facets:
value: in mathematics
type: OTHER
value: in his book
type: LOCATION
Source sentences:
text: He discovered Newton's identities, Newton's method, classified cubic plane curves (polynomials of degree three in two variables), made substantial contributions to the theory of finite differences, and was the first to use fractional indices and to employ coordinate geometry to derive solutions to Diophantine equations.
text: He approximated partial sums of the harmonic series by logarithms (a precursor to Euler's summation formula) and was the first to use power series with confidence and to revert power series.
text: In his book Opticks, Newton was the first to show a diagram using a prism as a beam expander, and also the use of multiple-prism arrays.
text: Newton was the first to consider in his Principia an extended expression of his law of gravity including an inverse-cube term of the form
text: He is also the only player in NFL history to have 10,000 passing yards and 2,000 rushing yards in his first four seasons and the first to have at least 3,000 passing yards and 500 rushing yards in four consecutive seasons.
text: Although earlier philosophers such as Galileo and John Philoponus had used experimental procedures, Newton was the first to explicitly define and systematize their use.
text: He was also the first to describe the force of gravity, noticing that all things attracted all other things in space and that the planets orbited the Sun by way of an invisible force, even though that force was not properly identified until Einstein developed his theory of relativity.
text: He is also the only player in NFL history to have 10,000 passing yards and 2,000 rushing yards in his first four seasons and the first to have at least 3,000 passing yards and 500 rushing yards in four consecutive seasons.
text: In mathematics, Newton was the first to develop a full range of algorithms for symbolically determining what we now call integrals and derivatives, but he subsequently became fundamentally opposed to the idea, championed by Leibniz, of transforming mathematics into a discipline grounded in symbol manipulation.
text: While he was not the first person to understand that the orbit of a planet was elongated like an oval, he was the first to explain how it worked.
text: He wrote later that during this time he first understood the theory of gravitation, which we shall discuss below, and the theory of optics (he was the first to realize that white light is made up of the colors of the rainbow), and much mathematics, both integral and differential calculus and infinite series.
text: Newton was the first to prove that white light is made up of all the colors that we can see.