Geometric Progression Quotes

The issues are by some geometric number - 100 or 200 or 500 - times more complicated today than we appreciated them to be when Franklin Roosevelt was around.

I am conscious that an equal division of property is impracticable, but the consequences of this enormous inequality producing so much misery to the bulk of mankind, legislators cannot invent too many devices for subdivisions go hand in hand with the natural affections of the human mind. The descent of property of every kind therefore to all the children, or to all the brothers and sisters, or other relations in equal degree, is a politic measure and a practicable one. Another means of silently lessening the inequality of property is to exempt all from taxation below a certain point, and to tax the higher portions or property in geometric progression as they rise.

The concentration and reciprocal effect of industry and agriculture conjoin in a growth of productive powers, which increases more in geometrical than in arithmetical proportion.

An exponential growth is a simple doubling. One becomes two becomes four.

The squares of the periodic times are to each other as the cubes of the mean distances.

The people who see the population explosion in the Malthusian way - as a geometric progression - forget that population growth is not a biological issue. People are not increasing in numbers out of stupidity and ignorance. Population growth is an ecological phenomenon linked very intimately to other issues, such as the usurpation of the resources which allow people to live.

The effectiveness of work increases according to geometric progression if there are no interruptions.

Volume grows spatially slower than scaling.

Population, when unchecked, goes on doubling itself every 25 years or increases in a geometrical ratio.

Life is exponential. Two becomes four, becomes ten thousand, becomes a plague.

I believe the geometric proportion served the creator as an idea when He introduced the continuous generation of similar objects from similar objects.

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.

Subsistence increases only in an arithmetical ratio.

But it is impossible to divide a cube into two cubes, or a fourth power into fourth powers, or generally any power beyond the square into like powers; of this I have found a remarkable demonstration. This margin is too narrow to contain it.