This modern branch of mathematics, unknown to the ancients, when dealing with problems of motion admits the conception of the infinitely small, and so conforms to the chief condition of motion
Only when we have admitted the conception of the infinitely small, and the resulting geometrical progression with a common ratio of one tenth, and have found the sum of this progression to infinity, do we reach a solution of the problem.
This universal trend toward consolidation has introduced a variety of problems
that will engage the ablest brains in the telephone world for many years to come.
These raise problems
of their own, which we shall reach in Lecture III.
If it had not been for the problem
of keeping dependable hired hands and the sight of the mine-tipple, which, towering on the adjoining farm, reminded her more and more constantly of Bill, she would not even have considered the offer of Gordon Hamilton, one of Fallon's leading business men, to buy her whole section.
before us," continued the president, "is how to communicate to a projectile a velocity of 12,000 yards per second.
Yes, my worthy friend; taking into consideration all the elements of the problem
, the distance from the center of the earth to the center of the moon, of the radius of the earth, of its bulk, and of the bulk of the moon, I can tell exactly what ought to be the initiatory speed of the projectile, and that by a simple formula.
Despite her clear sight of her problem
of keeping Billy a lover, and despite the considerable knowledge and experience arrayed before her mental vision, Mercedes Higgins had spread before her a vastly wider panorama.
But Tuskegee is, nevertheless, a brand-new chapter in the history of the Negro, and in the history of the knottiest problem
we have ever faced.
You may readily understand that I have occupied my mind with this subject, which was, necessarily, so interesting to me, but I have not been able to solve the problem
with the appliances now known to mechanical science.
Levin was insufferably bored that evening with the ladies; he was stirred as he had never been before by the idea that the dissatisfaction he was feeling with his system of managing his land was not an exceptional case, but the general condition of things in Russia; that the organization of some relation of the laborers to the soil in which they would work, as with the peasant he had met half-way to the Sviazhskys', was not a dream, but a problem
which must be solved.
I have many friends in America, I feel a grateful interest in the country, I hope and believe it will successfully work out a problem
of the highest importance to the whole human race.
By this time the carriages, that were to convey the revelers to their respective homes, had begun to assemble outside the Castle-grounds: and it became evident--now that Lady Muriel's cousin had joined our party that the problem
, how to convey five people to Elveston, with a carriage that would only hold four, must somehow be solved.
The entire world hung for months over this obscure problem
--the most obscure, it seems to me, that has ever challenged the perspicacity of our police or taxed the conscience of our judges.
As she sought her own rooms in Diana's Grove, she went over the whole subject again and again, always finding in the face of Lilla Watford a key to a problem
which puzzled her--the problem
of a way to turn Caswall's powers--his very existence--to aid her purpose.