Celebrating 20 Years on the Web
TODAY IN SCIENCE HISTORY ®
Find science on or your birthday

Today in Science History - Quickie Quiz
Who said: “I seem to have been only like a boy playing on the seashore, ... finding a smoother pebble or a prettier shell ... whilst the great ocean of truth lay all undiscovered before me.”
more quiz questions >>
Home > Category Index for Science Quotations > Category Index I > Category: Inverse Square Law

Inverse Square Law Quotes (4 quotes)

By such deductions the law of gravitation is rendered probable, that every particle attracts every other particle with a force which varies inversely as the square of the distance. The law thus suggested is assumed to be universally true.
In Isaac Newton and Percival Frost (ed.) Newton's Principia: Sections I, II, III (1863), 217.
Science quotes on:  |  Attraction (56)  |  Deduction (82)  |  Distance (163)  |  Force (488)  |  Gravitation (71)  |  Law (895)  |  Law Of Gravitation (22)  |  Other (2236)  |  Particle (196)  |  Render (93)  |  Square (70)  |  Universal (189)

In the beginning of the year 1665 I found the Method of approximating series & the Rule for reducing any dignity of any Bionomial into such a series. The same year in May I found the method of Tangents of Gregory & Slusius, & in November had the direct method of fluxions & the next year in January had the Theory of Colours & in May following I had entrance into ye inverse method of fluxions. And the same year I began to think of gravity extending to ye orb of the Moon & (having found out how to estimate the force with wch [a] globe revolving within a sphere presses the surface of the sphere) from Keplers rule of the periodic times of the Planets being in sesquialterate proportion of their distances from the center of their Orbs, I deduced that the forces wch keep the Planets in their Orbs must [be] reciprocally as the squares of their distances from the centers about wch they revolve: & thereby compared the force requisite to keep the Moon in her Orb with the force of gravity at the surface of the earth, & found them answer pretty nearly. All this was in the two plague years of 1665-1666. For in those days I was in the prime of my age for invention & minded Mathematicks & Philosophy more then than at any time since.
Quoted in Richard Westfall, Never at Rest: A Biography of Isaac Newton (1980), 143.
Science quotes on:  |  Age (499)  |  All (4107)  |  Answer (366)  |  Beginning (305)  |  Being (1278)  |  Binomial (6)  |  Calculus (65)  |  Color (138)  |  Differentiation (25)  |  Dignity (42)  |  Direct (225)  |  Distance (163)  |  Earth (998)  |  Entrance (15)  |  Estimate (57)  |  Fluxion (7)  |  Force (488)  |  Gravity (133)  |  Invention (377)  |  Johannes Kepler (92)  |  Law Of Gravity (15)  |  Method (506)  |  Mind (1339)  |  Moon (238)  |  More (2559)  |  Must (1526)  |  Nearly (137)  |  Next (236)  |  Orb (20)  |  Orbit (82)  |  Philosophy (382)  |  Plague (41)  |  Planet (357)  |  Prime (11)  |  Proportion (136)  |  Revolve (25)  |  Rule (295)  |  Series (149)  |  Sphere (116)  |  Square (70)  |  Surface (209)  |  Surface Of The Earth (36)  |  Tangent (6)  |  Theory (972)  |  Think (1086)  |  Time (1877)  |  Two (937)  |  Year (932)

Mr Hooke sent, in his next letter [to Sir Isaac Newton] the whole of his Hypothesis, scil that the gravitation was reciprocall to the square of the distance: ... This is the greatest Discovery in Nature that ever was since the World's Creation. It was never so much as hinted by any man before. I wish he had writt plainer, and afforded a little more paper.
Brief Lives (1680), edited by Oliver Lawson Dick (1949), 166-7.
Science quotes on:  |  Creation (329)  |  Discovery (785)  |  Distance (163)  |  Gravitation (71)  |  Greatest (329)  |  Hint (21)  |  Hypothesis (296)  |  Letter (109)  |  Little (708)  |  Man (2249)  |  More (2559)  |  Nature (1928)  |  Never (1087)  |  Next (236)  |  Paper (183)  |  Square (70)  |  Theory (972)  |  Whole (738)  |  Wish (212)  |  World (1778)

Thus far I have explained the phenomena of the heavens and of our sea by the force of gravity, but I have not yet assigned a cause to gravity. Indeed, this force arises from some cause that penetrates as far as the centers of the sun and planets without any diminution of its power to act, and that acts not in proportion to the quantity of the surfaces of the particles on which it acts (as mechanical causes are wont to do) but in proportion to the quantity of solid matter, and whose action is extended everywhere to immense distances, always decreasing as the squares of the distances.
The Principia: Mathematical Principles of Natural Philosophy (1687), 3rd edition (1726), trans. I. Bernard Cohen and Anne Whitman (1999), General Scholium, 943.
Science quotes on:  |  Act (272)  |  Action (328)  |  Arise (158)  |  Assign (13)  |  Cause (542)  |  Centre (28)  |  Decrease (15)  |  Diminution (5)  |  Distance (163)  |  Do (1908)  |  Everywhere (95)  |  Explain (322)  |  Explanation (234)  |  Extend (128)  |  Force (488)  |  Gravity (133)  |  Heaven (258)  |  Heavens (125)  |  Immense (86)  |  Indeed (323)  |  Law Of Gravity (15)  |  Matter (801)  |  Mechanical (140)  |  Mechanics (132)  |  Particle (196)  |  Penetrate (67)  |  Phenomenon (319)  |  Planet (357)  |  Power (747)  |  Proportion (136)  |  Quantity (132)  |  Sea (309)  |  Solid (116)  |  Square (70)  |  Sun (387)  |  Surface (209)


Carl Sagan Thumbnail In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion. (1987) -- Carl Sagan
Quotations by: Albert Einstein Isaac Newton Lord Kelvin Charles Darwin Srinivasa Ramanujan Carl Sagan Florence Nightingale Thomas Edison Aristotle Marie Curie Benjamin Franklin Winston Churchill Galileo Galilei Sigmund Freud Robert Bunsen Louis Pasteur Theodore Roosevelt Abraham Lincoln Ronald Reagan Leonardo DaVinci Michio Kaku Karl Popper Johann Goethe Robert Oppenheimer Charles Kettering  ... (more people)

Quotations about: Atomic  Bomb Biology Chemistry Deforestation Engineering Anatomy Astronomy Bacteria Biochemistry Botany Conservation Dinosaur Environment Fractal Genetics Geology History of Science Invention Jupiter Knowledge Love Mathematics Measurement Medicine Natural Resource Organic Chemistry Physics Physician Quantum Theory Research Science and Art Teacher Technology Universe Volcano Virus Wind Power Women Scientists X-Rays Youth Zoology  ... (more topics)
Sitewide search within all Today In Science History pages:
Visit our Science and Scientist Quotations index for more Science Quotes from archaeologists, biologists, chemists, geologists, inventors and inventions, mathematicians, physicists, pioneers in medicine, science events and technology.

Names index: | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z |

Categories index: | 1 | 2 | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z |
- 100 -
Sophie Germain
Gertrude Elion
Ernest Rutherford
James Chadwick
Marcel Proust
William Harvey
Johann Goethe
John Keynes
Carl Gauss
Paul Feyerabend
- 90 -
Antoine Lavoisier
Lise Meitner
Charles Babbage
Ibn Khaldun
Euclid
Ralph Emerson
Robert Bunsen
Frederick Banting
Andre Ampere
Winston Churchill
- 80 -
John Locke
Bronislaw Malinowski
Bible
Thomas Huxley
Alessandro Volta
Erwin Schrodinger
Wilhelm Roentgen
Louis Pasteur
Bertrand Russell
Jean Lamarck
- 70 -
Samuel Morse
John Wheeler
Nicolaus Copernicus
Robert Fulton
Pierre Laplace
Humphry Davy
Thomas Edison
Lord Kelvin
Theodore Roosevelt
Carolus Linnaeus
- 60 -
Francis Galton
Linus Pauling
Immanuel Kant
Martin Fischer
Robert Boyle
Karl Popper
Paul Dirac
Avicenna
James Watson
William Shakespeare
- 50 -
Stephen Hawking
Niels Bohr
Nikola Tesla
Rachel Carson
Max Planck
Henry Adams
Richard Dawkins
Werner Heisenberg
Alfred Wegener
John Dalton
- 40 -
Pierre Fermat
Edward Wilson
Johannes Kepler
Gustave Eiffel
Giordano Bruno
JJ Thomson
Thomas Kuhn
Leonardo DaVinci
Archimedes
David Hume
- 30 -
Andreas Vesalius
Rudolf Virchow
Richard Feynman
James Hutton
Alexander Fleming
Emile Durkheim
Benjamin Franklin
Robert Oppenheimer
Robert Hooke
Charles Kettering
- 20 -
Carl Sagan
James Maxwell
Marie Curie
Rene Descartes
Francis Crick
Hippocrates
Michael Faraday
Srinivasa Ramanujan
Francis Bacon
Galileo Galilei
- 10 -
Aristotle
John Watson
Rosalind Franklin
Michio Kaku
Isaac Asimov
Charles Darwin
Sigmund Freud
Albert Einstein
Florence Nightingale
Isaac Newton


by Ian Ellis
who invites your feedback
Thank you for sharing.
Today in Science History
Sign up for Newsletter
with quiz, quotes and more.