Earth 1

Physics · Mathematics

Isaac Newton

1643 – 1727 · Woolsthorpe, England

One law for an apple and the Moon.

Newton's own thought experiment: a cannon on a very tall mountain. Too slow and the ball falls back. At 7.9 km/s the ground curves away as fast as the ball falls, so it orbits. At 11.2 km/s it escapes Earth.

01

The plague years

Cambridge closed in 1665 because of the plague, and the young graduate went home to the family farm. Over about eighteen months he worked out the method of fluxions (calculus), split white light with prisms, and began to ask whether the force that drops an apple also holds the Moon.

He published almost none of it for years. Calculus waited until a bitter priority fight with Leibniz, who had found it independently and whose dx and ∫ notation won.

02

Light is a mixture

Passing sunlight through a prism gave a spread of colours. His crucial experiment sent one colour through a second prism: it bent again but stayed the same colour. White light is not pure; it is all the colours together.

Lenses smear colours, so in 1668 he built a reflecting telescope that used a curved mirror instead. Most big research telescopes today are reflectors.

03

The Principia

In 1687 Edmond Halley paid to print the Principia. It states three laws of motion and one law of gravity: every mass pulls every other mass with a force that falls with the square of the distance.

With those few rules he derived Kepler's orbits, the tides, and the flattening of the Earth at the poles. Heaven and Earth obeyed the same mathematics for the first time.

04

The Mint

In 1696 he left Cambridge to run the Royal Mint in London, first as Warden and then as Master. He reorganised the recoinage and pursued counterfeiters in person. He became President of the Royal Society in 1703 and was knighted in 1705.

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How they thought

  • Strip it to a law

    Find the fewest rules that predict the most, then derive everything else from them.

  • Test with a crucial experiment

    Design one test whose result can only go one way if the idea is right, like the second prism.

  • Invent the tool you need

    When existing mathematics could not describe changing motion, he built calculus to do it.

  • Think it through in your head first

    The cannon on the mountain needs no cannon: follow the idea to its limit and see what must happen.

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Timeline

  1. 1661

    Enters Trinity College, Cambridge.

  2. 1665–66

    Plague years at home: calculus, colour and gravity.

  3. 1668

    Builds a reflecting telescope.

  4. 1687

    Publishes the Principia, the laws of motion and universal gravitation.

  5. 1696

    Takes charge of the Royal Mint.

  6. 1704

    Publishes Opticks.

  7. 1727

    Dies and is buried in Westminster Abbey.

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In their own words

“If I have seen further it is by standing on the shoulders of Giants.”
Letter to Robert Hooke, 5 February 1676
“Hypotheses non fingo. (I frame no hypotheses.)”
General Scholium, Principia, 2nd edition, 1713

I

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II

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166 lines to learn, 38 held back. Names are removed. Random batches, dropout and noise make each seed take its own path.