They do not form any apparent intelligible arithmetical progression.

His play had become wilder and wilder at each hole in arithmetical progression.

Now, owing to the last term, this is no longer true and successive columns tend to show a near arithmetical progression in their elements.

Malthus pointed it out long ago; food increases by arithmetical progression, people increase by geometrical progression.

Certainly, the terror of a deserted house swells in geometrical rather than arithmetical progression as houses multiply to form a city of stark desolation.

He gave the sum of a series whose terms are squares of an arithmetical progression and empirical rules for area and perimeter of an ellipse.

"In order that the intensity of a sensation may increase in arithmetical progression, the stimulus must increase in geometrical progression."

In technical analysis of financial data, a weighted moving average (WMA) has the specific meaning of weights that decrease in arithmetical progression.

The innermost scales of the instrument are called the Arithmetic Lines from their division in arithmetical progression, that is, by equal additions which proceed out to the number 250.

In them I read unthinkable calculations, formulas of interwoven universes, arithmetical progressions of armies of stars, pandects of the motions of the suns.

Leonell C. Strong, a cancer research scientist and amateur cryptographer, believed that the solution to the Voynich manuscript was a "peculiar double system of arithmetical progressions of a multiple alphabet".

In this work, Hypsicles proves a number of propositions on arithmetical progressions and uses the results to calculate approximate values for the times required for the signs of the zodiac to rise above the horizon.

Next define the quantity MinN(L, D, N) to be the least integer so that any assignment of N colors to an interval of length MinN or more necessarily contains a homogenous D-dimensional arithmetical progression with benefits.

EXAMPLE: In the measure of temperature, we take the expansion and contraction of mercury relative to the heat it contains as a Quantitative Rule for the increase or decrease of temperature in general by dividing the range of its change in magnitude into a scale of arithmetical progression.

He was thus led to conclude that chemistry is a branch of applied mathematics and to endeavour to trace a law according to which the quantities of different bases required to saturate a given acid formed an arithmetical progression, and the quantities of acids saturating a given base a geometric progression.