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Page 54 - Parallelograms on the same base, and between the same parallels, are equal to one another.
Page 22 - The objects of the Association are, by periodical and migratory meetings, to promote intercourse between those who are cultivating science in different parts of America, to give a stronger and more general impulse and more systematic direction to scientific research, and to procure for the labors of scientific men increased facilities and a wider usefulness.
Page 141 - It is conceivable that the various kinds of matter, now recognized as different elementary substances, may possess one and the same ultimate or atomic molecule existing in different conditions of movement.
Page 86 - We have therefore reason to believe from man's fertile intermixture, that he is one in species ; and that all organic species are divine appointments which cannot be obliterated, unless by annihilating the individuals representing the species.
Page 234 - It is, therefore, of the highest importance to gain a clear insight into the means of modification and coadaptation. At the commencement of my observations it seemed to me probable that a careful study of domesticated animals and of cultivated plants would offer the best chance of making out this obscure problem. Nor have I been disappointed ; in this and in all other perplexing cases I have invariably found that our knowledge, imperfect though it be, of variation under domestication, afforded the...
Page 459 - Congress the power to make all laws which shall be necessary and proper for carrying into execution' "' "all powers vested by this Constitution in the Government of the United States or in any department or officer thereof.
Page 141 - These again may all be dependent upon atomic and molecular mobility. Let us imagine one kind of substance only to exist, ponderable matter; and further, that matter is divisible into ultimate atoms, uniform in size and weight. We shall have one substance and a common atom. With the atom at rest the uniformity of matter would be perfect. But the atom possesses always more or lesa motion, due, it must be assumed, to a primordial impulse.
Page 46 - ... number multiplied by the sum is the same as the second number multiplied by the first number together with the second number multiplied by itself. Putting all these together, we find that the square of the sum is equal to the sum of the squares of the two numbers together with twice their product. Two things may be observed on this comparison. First, how very much the shorthand expression gains in clearness from its brevity. Secondly, that it is only shorthand for something which is just straightforward...
Page 133 - I now mean by elements, as those chymists that speak plainest do by their principles, certain primitive and simple, or perfectly unmingled bodies; which not being made of any other bodies, or of one another, are the ingredients of which all those called perfectly mixt bodies are immediately compounded, and into which they are ultimately resolved...
Page 419 - He widened knowledge and escaped the praise; He wisely taught, because more wise to learn; He toiled for Science, not to draw men's gaze, But for her lore of self-denial stern. That such a man could spring from our decays Fans the soul's nobler faith until it burn.