quote by Ptolemy

The heaven is spherical in shape, and moves as a sphere; the earth too is sensibly spherical in shape, when taken as a whole; in position it lies in the middle of the heavens very much like its center; in size and distance it has the ratio of a point to the sphere of the fixed stars; and it has no motion from place to place.

— Ptolemy

Authentic Ratio quotations

In a spiral galaxy, the ratio of dark-to-light matter is about a factor of ten.

That's probably a good number for the ratio of our ignorance-to-knowledge. We're out of kindergarten, but only in about third grade.


Pick up a sunflower and count the florets running into its centre, or count the spiral scales of a pine cone or a pineapple, running from its bottom up its sides to the top, and you will find an extraordinary truth: recurring numbers, ratios and proportions.

Meaningful Ratio quotes
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The only true measure of success is the ratio between what we might have done and what we might have been on the one hand, and the thing we have made and the things we have made of ourselves on the other.

The only true measure of success is the ratio between what we might have done and what we might have been on the one hand, and the thing we have made and the things we have made of ourselves on the other.

Mankind has always drawn from outside sources of energy.

This island was the first to harness coal and steam. But our present sources stand in the ratio of a million to one, compared with any previous sources. The release of atomic energy will change the whole structure of society.


Population, when unchecked, increases in a geometrical ratio.

Subsistence increases only in an arithmetical ratio. A slight acquaintance with numbers will shew the immensity of the first power in comparison of the second.

If there were a 1:1 ratio of women and men in the chess world I would agree that all tournaments should be integrated. But a lot of women feel alienated at these mixed events, so it's positive to have occasional all women's events.

The fun you get from golf is in direct ratio to the effort you don't put into it.

The magnetic cleavage of the spectral lines is dependent on the size of the charge of the electron, or, more accurately, on the ratio between the mass and the charge of the electron.

People are lucky and unlucky not according to what they get absolutely, but according to the ratio between what they get and what they have been led to expect.


Geometry has two great treasures; one is the Theorem of Pythagoras; the other, the division of a line into extreme and mean ratio. The first we may compare to a measure of gold; the second we may name a precious jewel.

India's sex ratio is 1000 boys for 940 girls.

Who creates this disparity? It isn't God. Don't fill your coffers by sacrificing the mother's womb. People feel that sons will take care of them when they are old. But I have seen aged parents in old-age homes. I have seen families where one daughter serves parents more than five sons.

The ratio of literacy to illiteracy is constant, but nowadays the illiterates can read and write.

Persuading through Simplifying - Using computing technology to reduce complex behavior to simple tasks increases the benefit/cost ratio of the behavior and influences users to perform the behavior.

There were so many great music and political scenes going on in the late '60s in Cambridge. The ratio of guys to girls at Harvard was four to one, so all of those things were playing in my mind.


In this country protection has always, to some extent, existed;

but at some times it has been efficient, and at others not; and our tendency toward freedom or slavery has always been in the direct ratio of its efficiency or inefficiency.

I verily believe that a man's way with women is in inverse ratio to his prowess among men. The weakling and the saphead have often great ability to charm the fair sex, while the fighting man who can face a thousand real dangers unafraid, sits hiding in the shadows like some frightened child.

[P]opulation, when unchecked, goes on doubling itself every twenty-five years, or increases in a geometrical ratio. ... [T]he means of subsistence, under circumstances the most favorable to human industry, could not possibly be made to increase faster than in an arithmetical ratio.

If you want to double your success ratio, you have to double your failure ratio.

For a manager to be perceived as a positive manager, they need a four to one positive to negative contact ratio.


Official dignity tends to increase in inverse ratio to the importance of the country in which the office is held.

Canada has one great novelist (Robertson Davies), which means it has one for every twenty-five million citizens - the world's highest ratio.

The only true measure of success is the amount of joy we are feeling.

I happen to love engineering. I love figuring things out in a spatial sense, that whole realm of working with mechanical parts, and the relationship of the parts, and things like ratios and the speeds of particular objects.

The ratio of people to cake is too big.


As the funds you will expend have come from many places in the world, so let there be no territorial, religious, or color restrictions on your benefactions, but beware of organized, professional charities with high-salaried executives and a heavy ratio of expense.

In the family, happiness is in the ratio in which each is serving the others, seeking one another's good, and bearing one another's burdens.

The value of an ad is in inverse ratio to the number of times it has been used.

Behind every man now alive stand thirty ghosts, for that is the ratio by which the dead outnumber the living.

When a documentary filmmaker, working in the style that I do, suggests that there has been a shooting ratio of 40 hours to every one hour of finished film, that doesn't mean that the other 39 are bad.


At Reliance Foundation schools, we lay special emphasis on value-based education, sports, and overall development of students. That is why the teacher-students ratio is kept at a healthy 1:20 so that all children get proper attention in class.

The results serve to disprove the tetranucleotide hypothesis.

It is, however, noteworthy-whether this is more than accidental, cannot yet be said-that in all desoxypentose nucleic acids examined thus far the molar ratios of total purines to total pyrimidines, and also of adenine to thymine and of guanine to cytosine, were not far from 1.

Compounds of gaseous substances with each other are always formed in very simple ratios, so that representing one of the terms by unity, the other is 1, 2, or at most 3 ... The apparent contraction of volume suffered by gas on combination is also very simply related to the volume of one of them.

The quality of moral behavior varies in inverse ratio to the number of human beings involved.