More than one of the young nobles approached the presumably fair peripatetic, and, with courtesy commonly in inverse ratio to the amount of wine he was carrying home, proffered his escort to his gondola.

Again, Swift's flying Island of Laputa is a phenomenon so opposed to all scientific probability, and so directly at variance with natural laws, that it loses in interest in a direct ratio with the violence it does to our feelings.

Why is it that the value of acres increases in a geometrical ratio, as they stretch away towards the North Star from the frontier of Slavery?

To this the larger States were quite unwilling to yield, and when the committee rose they reported, in substance, the Virginia plan, with the proviso that representation in the proposed double-chambered Congress should be "according to some equitable ratio of representation.

In these matters, the vital organs are as honest and as faithful as the boiler, that gives forth steam in the exact ratio of the heat which the burning fuel evolves and the fitness of the water that is supplied to it; and neither can be persuaded to do otherwise.

In the last column, the daily ratio of these first choices appears.

How long she will stand by like the persecutor Saul, consenting unto the death of Stephen, and keeping the raiment of them that slew him, I know not; but one thing I do know, the guilt of the North is increasing in a tremendous ratio as light is pouring in upon her on the subject and the sin of slavery.

The underlying principle of these Army Acts (1893, 1899, 1905, 1911) was to maintain a fairly constant ratio between the peace strength and the population.

The actual ratio for the first series given in problem 2 is 1 to 8, while in the second series it is 0 to 10.

Another thing, in which Mr. Malthus attempted to clench Wallace's argument, was in giving to the disproportionate power of increase in the principle of population and the supply of food a mathematical form, or reducing it to the arithmetical and geometrical ratios, in which we believe Mr. Malthus is now generally admitted, even by his friends and admirers, to have been wrong.

The advantage will probably be divided equally, oftener than in any one unequal ratio that can be named; though the division will be much oftener, on the whole, unequal than equal.

The conclusion from these three independent proofs, which enforce each other in the multiple ratio of their respective weights, is therefore irresistiblethat animal life, especially in its higher forms, cannot exist on the planet.

If, then, these difficulties present themselves with a population of 3,000,000 slaves, and if they are increasing their numbers rapidlywhich statistics fully prove to be the caseit is clear that these difficulties must augment in a corresponding ratio, until at last they will become insurmountable.

The ultima ratio was now appealed to.

It is very certain that his career was much shortened by these enormous labors, and it is not certain that its value was increased in a sufficient ratio to compensate for that evil.

After this limit has been exceeded, the size and shape of the specimen after removal of the load will not be the same as before, and the difference or amount of change is known as the ~permanent set~. Elastic limit as measured in tests and used in design may be defined as that unit stress at which the deformation begins to increase in a faster ratio than the applied load.

At such a time the tariff may have worked toward checking the fall and earlier reestablishing a more favorable ratio.

The black population, unprepared in any way for the sudden change, became day by day more idle and vicious, the taxes of the islands increased, and the circulation issued by the banks decreased in an equally fearful ratio.

Each generation must make advancement toward a Caucasian whiteness, in a geometric ratio, until the Indian element should be reduced by an infinite progression toward nothing.

"THE FORMULÆ OF PLANE TRIGONOMETRY," 1861 printed with symbols (instead of words) to express the "goniometrical ratios."

At the beginning of his career he had a defective sense of the harmonic ratios upon which a really musical building may be constructed out of mere bricks and mortarsuch, for example, as the Church of S. Giustina at Padua.

Emerging from the sphere of the sensuous, where ideas take plastic embodiment, he grappled in this final stage of his career with harmonical ratios and direct verbal expression, where ideas are disengaged from figurative form.

Mr. Fairburn, whose reputation as an investigator of crime waxes in direct inverted ratio to his capacities, did hit upon the obvious course of interviewing the managers of the larger London and Liverpool agents de change.

For each ecstatic instant We must an anguish pay In keen and quivering ratio To the ecstasy.

I will take, nearly at random, a couple of examples of rate regulation, where tenderness has been shown property in something approaching to a mathematical ratio to the amount involved.