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Pott was only fulfilling the duties incumbent upon him in this triple capacity. As the war progressed, although the administration of the customs at Lorenzo Marques was made more efficient, this improvement was inversely proportional to the successes of the Boer forces in the field.

Thus, in analysing coal by burning, we have, in the ashes alone, that by which one species of coal may be distinguished from another; and, if we should consider pure coal as having no ashes of itself, we should then, in the weight of its ashes, have a measure of the purity of the coal, this being inversely as the quantity of the ashes.

Although it was known that inductive action travelled with finite velocity in space, and that an electro-magnet would affect the space about it practically inversely as the square of the distance, and that such phenomena as are involved in telephonic induction between circuits could have no other meaning than the one assigned by Maxwell, yet nearly all the physicists failed to form the only conception of it that was possible, and waited for Hertz to devise apparatus for producing interference before they grasped it.

Then comes the shout of exaltation as regularly as the Gloria Patri at the end of a Psalm. "Is there any possibility of gainsaying the conclusions these facts force upon us; namely that the fecundity of marriages is regulated by the density of the population, and inversely to it?" Certainly these tables, taken separately, look well for Mr Sadler's theory.

The satisfaction we found in every celebrated writer's attempts, was inversely as their merits. I found that no genius in another could please me. My unfortunate paradoxes had entirely dried up that source of comfort. I could neither read nor write with satisfaction; for excellence in another was my aversion, and writing was my trade.

"In water-mills the continual diminution in bulk which the earth undergoes, owing to the fall of the water, gives rise to motion, which afterwards disappears again, calling forth unceasingly a great quantity of heat; and, inversely, the steam-engine serves to decompose heat again into motion or the raising of weights.

From the equality of action and reaction, to which no exception can be found, Newton concluded that the sun gravitates to the planets and the planets to their satellites, and the earth itself to the stone which falls upon its surface, and consequently that the two mutually gravitating bodies approach one another with velocities inversely proportional to their quantities of matter.

Indeed, if there is a phenomenon well attested by experience, is it not the spiritual phenomenon commonly called "the faith of the peasant"? The strength of belief varies inversely with the amount of use that a man has made of his reasoning faculties. Simple people and soldiers belong to the unreasoning class.

Fertility and care for offspring seem as a rule to vary inversely. The latter is the path of biological progress, and is characteristic of all viviparous animals. That any degree of parental attention is incompatible with the immense fecundity of the lower organisms needs no demonstration.

What held these two factions to their respective Pretenders, and inversely kept them apart from each other, what else was it but the lily and the tricolor, the House of Bourbon and the house of Orleans, different shades of royalty?