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adeóque æquatio ÆQUATIONUM Archimedes autèm cujus D'Alembert Deum Deus differentialis eadem effe erit erunt eſt etiàm fecundùm fiet firſt five fluens fluentes fluxio fluxiones fluxionibus Fluxionum forsàn funt GEOMETRY Grange hactenus hæc hanc haud have Hinc hujus igitùr illa ille infinitum invicem ipfius ipſe jure laſt laterum Lemmate licet limitum logarithmi longè lucem Mathematical Method methodum minimè moſt motion motu muſt nempè neque Newton Newtonus niſi omni omnis omnium optimè partes poteft primo primus Princip principia principiis principles prodit proinde Prop proportionales prorsùs quâ quæ quafi quàm quantitates quantities quas quaſi quòd quodam ratio ratione rationum rectanguli rerum ſed ſeu ſhall ſome ſub ſuch ſunt tamen tandem tantùm theſe things thoſe time ultimò variabilis verò Vide videtur εν και
Página 101 - ... the Instinct of Brutes and Insects, can be the effect of nothing else than the Wisdom and Skill of a powerful ever-living Agent, who being in all Places, is more able by his Will to move the Bodies within his boundless uniform Sensorium, and thereby to form and reform the Parts of the Universe, than we are by our Will to move the Parts of our own Bodies.
Página 84 - Thus our knowledge is vastly greater than the sum of what all its objects separately could afford ; and when a new object comes within our reach, the addition to our knowledge is the greater the more we already know, so that it increases not as the new objects increase, but in a much higher proportion.
Página 83 - Author of nature may have in reserve to be opened up to us, at proper periods of time, and after due preparation. Surely it is in His power to grant us a far greater improvement of the faculties we already...
Página 67 - ... may be looked upon as so much the stronger, by how much the induction is more general. And if no exception occur from phenomena, the conclusion may be pronounced generally. But if at any time afterwards, any exception shall occur from experiments, it may then begin to be pronounced with such exceptions as occur.
Página 88 - Whereas the main Business of Natural Philosophy is to argue from Phenomena without feigning Hypotheses, and to deduce Causes from Effects, till we come to the very first Cause, which certainly is not mechanical; and not only to unfold the Mechanism of the World, but chiefly to resolve these and such like Questions.
Página 101 - And yet we are not to consider the World as the Body of God, or the several Parts thereof, as the Parts of God. He is an uniform Being, void of Organs, Members or Parts, and they are his Creatures subordinate to him, and subservient to his...
Página 67 - By this way of analysis, we may proceed from compounds to ingredients, and from motions to the forces producing them ; and, in general, from effects to their causes, and from particular causes to more general ones, till the argument end in the most general.
Página 82 - ... and that the beautiful scheme of nature would never be unfolded, but in an exceedingly imperfect manner to any of them. This, therefore, naturally leads us to consider our present state as only the dawn or beginning of our...
Página 102 - ... the Species of Things carried through the Organs of Sense into the place of its Sensation, where it perceives them by means of its immediate Presence, without the Intervention of any third thing. The Organs of Sense are not for enabling the Soul to perceive the Species of Things in its Sensorium, but only for conveying them thither; and God has no need of such Organs, he being everywhere present to the Things themselves.