| 1818 - 638 páginas
...comparisons are invidious, unless when they are invidiously pursued, would be puerile. No man, when he learns that the three angles of e•very triangle are equal to two right angles, ever thought of saying, that the series of comparisons by which that truth is demonstrated... | |
| William Hazlitt - 1810 - 544 páginas
...Aristotelian or the Cartesian system : nay, if any such law were made against all those who did not believe that the three angles of every triangle are equal to two right angles, I make no doubt but that this plain demonstration would be most violently opposed by great... | |
| 1813 - 596 páginas
...while they concurred in the plain and pre-established propositions that " two and two are four, and that the three angles of every triangle are equal to two right angles," were perfectly correct, and found every thing as it should be; " but, when each left this... | |
| Frederick Beasley - 1822 - 584 páginas
...in many cases? I retrace in my memory all the proofs by which Euclid demonstrates that proposition, that the three angles of every triangle, are equal to two right angles. In this case, do I not by memo»y revive every idea which enters into the demonstration? But... | |
| Robert Hamilton Bishop - 1824 - 464 páginas
...our present comprehension, and its being contrary to the first principles of reason. The proposition that the three angles of every triangle are equal to two right angles, is one absolutely beyond the comprehension of the illiterate hushnndman; is it therefore not... | |
| William Thompson - 1824 - 634 páginas
...when applied to one out of a class or of a thousand, not able to understand, when properly explained, that " the three angles. of every triangle are equal to two right angles." Till this fundamental error and vice in education, the presuming to teach opinions instead... | |
| 1826 - 664 páginas
...prospect, before a dark cave, or a dreadful precipice. It is not more evident to the mathematician, that the three angles of every triangle are equal to two right, than it is to all mankind, that justice and mercy excel tyranny and oppression. 6. Another desolating... | |
| Isaac Taylor - 1827 - 290 páginas
...exhibited more readily and by a simpler and more compact process than that of the other. If it were denied that the three angles of every triangle are equal to two right angles, an actual measurement of lines, or the placing of two pieces of card one over the other, would... | |
| Isaac Taylor - 1827 - 298 páginas
...exhibited more readily and by a simpler and more compact process than that of the other. If it were denied that the three angles of every triangle are equal to two right angles, an actual measurement of lines, or the placing of two pieces of card one over the other, would... | |
| Charles Pettit McIlvaine - 1832 - 534 páginas
...certainty. In mathematical reasoning, our knowledge is greater than our ignorance. When you have proved that the three angles of every triangle are equal to two right angles, there is an end of doubt, because there are no materials for ignorance to work up into phantasms;... | |
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