The smaller the planets are, they are, other things being equal, of so much the greater density; for so the powers of gravity on their several surfaces come nearer to equality. They are likewise, other things being equal, of the greater density, as they are nearer to the sun.
Interpretation
Smaller planets tend to have greater density and stronger gravity when compared under similar conditions.
Isaac Newton's quote explains the relationship between the size of planets, their density, and their proximity to the sun. He asserts that, all else being equal, smaller planets can exhibit greater density due to their gravitational forces, which can become more comparable as they are closer to the sun, thus highlighting essential aspects of planetary science and gravitational physics.
In practice
This quote can be used in a science class to explain gravitational forces and planetary characteristics.
The best and safest way of philosophising seems to be, first to enquire diligently into the properties of things, and to establish those properties by experiences [experiments] and then to proceed slowly to hypotheses for the explanation of them. For hypotheses should be employed only in explaining the properties of things, but not assumed in determining them; unless so far as they may furnish experiments.
Plato is my friend, Aristotle is my friend, but my greatest friend is truth.
His epitaph: Who, by vigor of mind almost divine, the motions and figures of the planets, the paths of comets, and the tides of the seas first demonstrated.
And from true lordship it follows that the true God is living, intelligent, and powerful; from the other perfections, that he is supreme, or supremely perfect. He is eternal and infinite, omnipotent and omniscient; that is, he endures from eternity to eternity; and he is present from infinity to infinity; he rules all things, and he knows all things that happen or can happen.
My Design in this Book is not to explain the Properties of Light by Hypotheses, but to propose and prove them by Reason and Experiments: In order to which, I shall premise the following Definitions and Axioms.
It is the weight, not numbers of experiments that is to be regarded.
If there is a small rocket on top of a big one, and if the big one is jettisoned and the small one is ignited, then their speeds are added.
If the Sun exploded, we wouldn't know about it for 8 minutes and 20 seconds. Light and gravity take that long to reach us. Then we would vaporize.
Science can destroy religion by ignoring it as well as by disproving its tenets. No one ever demonstrated, so far as I am aware, the nonexistence of Zeus or Thor, but they have few followers now.
Mars once was wet and fertile. It's now bone dry. Something bad happened on Mars. I want to know what happened on Mars so that we may prevent it from happening here on Earth.
Physics is very muddled again at the moment; it is much too hard for me anyway, and I wish I were a movie comedian or something like that and had never heard anything about physics!
The most important discoveries will provide answers to questions that we do not yet know how to ask and will concern objects we have not yet imagined.
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