 | William Whewell - 1840 - 606 pàgines
...To this we reply, that it might on the same grounds be asserted, that he who acts upon the principle that two sides of a triangle are greater than the third is really acquainted with geometry; and that he who balances himself on one foot knows the properties... | |
 | William Whewell - 1858 - 410 pàgines
...To this we reply, that it might on the same grounds be asserted, that he who acts upon the principle that two sides of a triangle are greater than the third is really acquainted with geometry; and that he who balances himself on one foot knows the properties... | |
 | William Whewell - 1858 - 408 pàgines
...and again, experience can only inform us that anything is so, and can never prove that it must be so. That two sides of a triangle are greater than the third is a universal and necessary geometrical truth : it is true of all triangles; it is true in such a way... | |
 | 1875 - 1012 pàgines
...saves time to cut a corner, and the difference between this homely proposition and the proposition that two sides of a triangle are greater than the third is only a difference of expression. If it is denied that matters of this sort are learnt by experience,... | |
 | 1869 - 282 pàgines
...saves time to cut a corner, and the difference between this homely proposition and the proposition that two sides of a triangle are greater than the third is only a difference of expression. If it is denied that matters of this sort are learnt by experience,... | |
 | Euclid, John Casey - 1885 - 340 pàgines
...from any propositions which are more elementary ; in other words, they are incapable of demonstration. "That two sides of a triangle are greater than the third" is, perhaps, self-evident ; hut it is not an axiom, inasmuch as it can he inferred by demonstration from... | |
 | Euclides - 1885 - 340 pàgines
...from any propositions which are more elementary ; in other words, they are incapable of demonstration. "That two sides of a triangle are greater than the third" is, perhaps, self-evident ; but it is not an axiom, inasmuch as it can he inferred by demonstration from... | |
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... artisan who raises large weights, practically knows the properties of the mechanical powers; — that he who manufactures chemical compounds is virtually acquainted with the laws of chemical combination. To this we reply, that it might on the same... 