This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1861 edition. Excerpt: ... that of the rectangle of their whole base and a part of their side (for this examination would be impossible), but simply the consideration of what is contained in the idea of a triangle which I find in my mind. Be this as it may, reserving the consideration of this subject for another place, it is ...
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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1861 edition. Excerpt: ... that of the rectangle of their whole base and a part of their side (for this examination would be impossible), but simply the consideration of what is contained in the idea of a triangle which I find in my mind. Be this as it may, reserving the consideration of this subject for another place, it is enough to say here, that defective inductions, --those, that is to say, which are not complete, --often lead ?/s to fall into error; and I shall content myself with referring to one remarkable example of this. All philosophers had believed, up to the present time, as an undoubted truth, that a syringe being well stopped, it would be impossible to draw out the piston without bursting it, and that we might make water rise as high as we chose in pumps by suction. What made this to be so firmly believed was, that it was supposed to have been verified by a most certain induction derived from a multitude of experiments; but, both are found to be false, since new experiments have been made which have proved that the piston of a syringe, however well it may be stopped, may be drawn out, provided we employ a force equal to the weight of a column of water of more than thirty feet in height, of the diameter of the syringe; and that we cannot raise water, by suction in a pump, higher than thirtytwo or thirty-three feet. CHAPTER XX. OF THE BAD REASONINGS WHICH ARE COMMON IN CIVIL LIFE AND IN ORDINARY DISCOURSE. We have seen some examples of the faults which are most common in reasoning on scientific subjects; but, since the principal use of reason is not in relation to those kinds of subjects, which enter but little into the conduct of life, and in which there is much less danger of being deceived, it would, without doubt, be much more useful to consider..
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