Tag Archives: Isaac Newton

July 7, 1668 (a Saturday)

*Newton,* depicted as a *divine geometer,* by William Blake (1757-1827)

On this date, the English physicist, mathematician, astronomer, natural philosopher, alchemist, and theologian Sir Isaac Newton (1643-1727) received his M.A. from Trinity College in Cambridge, England. Although he had been undistinguished as a Cambridge student, Newton’s private studies at his home in Woolsthorpe over the subsequent two years saw the development of his theories on calculus, optics, and the law of gravitation. His Philosophiæ Naturalis Principia Mathematica, published in 1687, is considered to be the most influential book in the history of science. In a 2005 poll of the Royal Society of London asking who had the greater effect on the history of science, Newton was deemed much more influential than Albert Einstein.

Newton acutely recognized knowledge as a vast field to be discovered. He famously said:

I don’t know what I may seem to the world, but, as to myself, I seem to have been only like a boy playing on the sea shore, and diverting myself in now and then finding a smoother pebble or prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me.

July 5, 1687

Newton's *Philosophiæ Naturalis Principia Mathematica*

On this date, the Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy) by Isaac Newton was published.  This three-volume work contains the statement of Newton’s laws of motion forming the foundation of classical mechanics, as well as his law of universal gravitation and a derivation of Kepler’s laws for the motion of the planets (which were first obtained empirically).   The Principia is widely regarded as one of the most important scientific works ever written.  It is in a supplement to the Principia, entitled General Scholium, that Newton expressed his famous “Hypotheses non fingo” (“I feign no hypotheses” or “I make no guesses”).

January 29, 1697 (Julian calendar/old style: a Friday)

William Blake's unflattering portrait of Isaac Newton, painted in 1795.

William Blake’s unflattering depiction of Isaac Newton, painted in 1795.

As much as Isaac Newton is revered today, there was wide dispute about his achievements during his lifetime. Although he did develop the mathematical field of calculus to help describe planetary motion, his fellow mathematician and rival Gottfried Wilhelm Leibnitz developed his own calculus right around the same time. Leibnitz and his colleague Johann Bernoulli certainly heard about Newton, but doubted his ability, so they devised a test.

In June 1696, Jean Bernoulli addressed a letter to the mathematicians of Europe challenging them to solve two problems: (1) to determine the brachistochrone between two given points not in the same vertical line, that is, the curve between two points that is covered in the least time by a point-like body that starts at the higher point with zero speed and is constrained to move along the curve to the lower point under the action of constant gravity and assuming no friction; and (2) to determine a curve such that, if a straight line drawn through a fixed point A meets it in two points P1, P2, then AP1m+AP2m will be constant. This challenge was first made in the Ada Lipsiensia for June 1696. Leibniz and Bernoulli were confident that only a person who knows calculus could solve this problem.

Which curve is the fastest?

Which curve is the fastest?

Six months were allowed by Bernoulli for the solution of the problem, and in the event of none being sent to him he promised to publish his own. The six months elapsed without any solution being produced. However, he received a letter from Leibniz, stating that he had “cut the knot of the most beautiful of these problems,” and requesting that the period for their solution should be extended to Christmas next, so that the French and Italian mathematicians might have no reason to complain of the shortness of the period. Bernoulli adopted the suggestion, and publicly announced the postponement to notify those who might not see the Ada Lipsiensia about the contest.

On today’s date, Newton returned at 4:00 pm from working at the Royal Mint and found in his post the problems that Bernoulli had sent directly to him; two copies of the printed paper containing the problems. Newton stayed up to 4:00 am before arriving at the solutions; on the following day he sent a solution of them to Montague, then president of the Royal Society for anonymous publication. He announced that the curve required in the first problem must be a cycloid, and he gave a method of determining it. He also solved the second problem, and in so doing showed that by the same method other curves might be found which cut off three or more segments having similar properties. Solutions were also obtained from Leibniz and the Marquis de l’Hôpital. Although Newton’s solution was anonymous, he was recognized by Bernoulli as its author; tanquam ex ungue leonem (“we recognize the lion by his claw”).