Transactions of the Cambridge Philosophical Society

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University Press, 1871
 

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Side 8 - ALTHOUGH the invention of plausible hypotheses, independent of any connection with experimental observations, can be of very little use in the promotion of natural knowledge ; yet the discovery of simple and uniform principles, by which a great number of apparently heterogeneous phenomena are reduced to coherent and universal laws, must ever be allowed to be of considerable importance towards the improvement of the human intellect.
Side 326 - ... about an axis through the centre of gravity parallel to the axis of suspension...
Side 157 - But we cannot conceive a line without bmulth ; we can form no mental picture of such a line : all the lines which we have in our minds are lines possessing breadth. If any one doubts this, we may refer him to his own experience. I much question if any one who fancies that he can conceive what is called a mathematical line, thinks so from the evidence of his consciousness : I suspect it is rather because he supposes that unless such a conception were possible, mathematics could not exist as a science...
Side 157 - ... the control we can exercise over the operations of our minds, the power, when a perception is present to our senses or a conception to our intellects, of attending to a part only of that perception or conception instead of the whole. But we cannot conceive a line without breadth; we can form no mental picture of such a line; all the lines which we have in our minds are lines possessing breadth.
Side 157 - We can reason about a line as if it had no breadth, because we have a power, which is the foundation of all the control we can exercise over the operations of our minds, the power, when a perception is present to our senses or a conception to our intellects, of attending to a part only of that perception or conception instead of the whole.
Side 254 - Use them kindly, they rebel; But be rough as nutmeg graters, And the rogues obey you well.
Side 238 - PROB. from a given point to draw a straight line equal to a given straight line. Let A be the given point, and BC the given straight line : it is required to draw from the point A a straight line equal to BC.
Side 155 - Je suis tellement pour l'infini actuel, qu'au lieu d'admettre que la nature l'abhorre, comme l'on dit vulgairement, je tiens qu'elle l'affecte partout, pour mieux marquer les perfections de son auteur. Ainsi, je crois qu'il n'ya aucune partie de la matière qui ne soit, je ne dis pas divisible, mais actuellement divisée, et par conséquent, la moindre particelle doit...
Side 495 - Everything in this southern continent has been effected on a grand scale: the land, from the Rio Plata to Tierra del Fuego, a distance of 1200 miles, has been raised in mass (and in Patagonia to a height of between 300 and 400 feet), within the period of the now existing sea-shells. The old and weathered shells left on the surface of the upraised plain still partially retain their colours.
Side 154 - ... toujours un autre plus grand que lui sans fin ; et qu'ainsi le véritable infini ne se trouve point dans un tout composé de parties. Cependant il ne laisse pas de se trouver ailleurs, savoir dans...

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