Sir Isaac Newton in the context of "Dispersive prism"

Philosophiæ Naturalis Principia Mathematica (English: The Mathematical Principles of Natural Philosophy), often referred to as simply the Principia (/prɪnˈsɪpiə, prɪnˈkɪpiə/), is a book by Sir Isaac Newton that expounds Newton's laws of motion and his law of universal gravitation. The Principia is written in Latin and comprises three volumes, and was authorized, imprimatur, by Samuel Pepys, then-President of the Royal Society on 5 July 1686 and first published in 1687.

The Principia is considered one of the most important works in the history of science. The French mathematical physicist Alexis Clairaut assessed it in 1747: "The famous book of Mathematical Principles of Natural Philosophy marked the epoch of a great revolution in physics. The method followed by its illustrious author Sir Newton ... spread the light of mathematics on a science which up to then had remained in the darkness of conjectures and hypotheses." The French scientist Joseph-Louis Lagrange described it as "the greatest production of the human mind". French polymath Pierre-Simon Laplace stated that "The Principia is pre-eminent above any other production of human genius". Newton's work has also been called "the greatest scientific work in history", and "the supreme expression in human thought of the mind's ability to hold the universe fixed as an object of contemplation". Mathematician Eric Temple Bell wrote "It is no miracle then, when the power of Newton's mathematical genius is taken into account, the Principia is the unsurpassed masterpiece of both scientific coordination and the art of scientific prediction that it is."

The gravitational constant is an empirical physical constant that gives the strength of the gravitational field induced by a mass. It is involved in the calculation of gravitational effects in Sir Isaac Newton's law of universal gravitation and in Albert Einstein's theory of general relativity. It is also known as the universal gravitational constant, the Newtonian constant of gravitation, or the Cavendish gravitational constant, denoted by the capital letter G.

In Newton's law, it is the proportionality constant connecting the gravitational force between two bodies with the product of their masses and the inverse square of their distance. In the Einstein field equations, it quantifies the relation between the geometry of spacetime and the stress–energy tensor.

The watchmaker analogy or watchmaker argument is a teleological argument, an argument for the existence of God. In broad terms, the watchmaker analogy states that just as it is readily observed that a watch (e.g., a pocket watch) did not come to be accidentally or on its own but rather through the intentional handiwork of a skilled watchmaker, it is also readily observed that nature did not come to be accidentally or on its own but through the intentional handiwork of an intelligent designer. The watchmaker analogy originated in natural theology and is often used to argue for the concept of intelligent design. The analogy states that a design implies a designer, by an intelligent designer, i.e., a creator deity. The watchmaker analogy was given by William Paley in his 1802 book Natural Theology or Evidences of the Existence and Attributes of the Deity. The original analogy played a prominent role in natural theology and the "argument from design," where it was used to support arguments for the existence of God of the universe, in both Christianity and Deism. Prior to Paley, however, Sir Isaac Newton, René Descartes, and others from the time of the Scientific Revolution had each believed "that the physical laws he [each] had uncovered revealed the mechanical perfection of the workings of the universe to be akin to a watch, wherein the watchmaker is God."

The 1859 publication of Charles Darwin's book on natural selection put forward an alternative explanation to the watchmaker analogy, for complexity and adaptation. In the 19th century, deists, who championed the watchmaker analogy, held that Darwin's theory fit with "the principle of uniformitarianism—the idea that all processes in the world occur now as they have in the past" and that deistic evolution "provided an explanatory framework for understanding species variation in a mechanical universe."

Newton is a large crater on Mars, with a diameter close to 300 km. It is located south of the planet's equator in the heavily cratered highlands of Terra Sirenum in the Phaethontis quadrangle. The crater was named in 1973 by the International Astronomical Union (IAU) Working Group for Planetary System Nomenclature (WGPSN) in honor of British physicist Sir Isaac Newton.

Three smaller craters within Newton have been named. Avire is to the west of the central peak. Palikir and Dechu are to the southeast of the central peak.