| Francis Bacon - 1841 - 618 pages
...similar to that of music termed the declining of a cadence. Again ; the mathematical postulate, that " **things which are equal to the same are equal to one another," is** similar to the form of the syllogism in logic, which unites things agreeing in the middle term. Lastly... | |
| Francis Bacon - 1841
...similar to that of music termed the declining of a cadence. Again ; the mathematical postulate, that " **things which are equal to the same are equal to one another," is** similar to the form of the syllogism in logic, which unites things agreeing in the middle term. Lastly... | |
| Nicholas Patrick Wiseman - 1841 - 628 pages
...arrangement, how can the celebrated demand in the theory of parallels rank under the same head as that " **things which are equal to the same are equal to one another."** The misplacement of this axiom about parallels has cost many a trial at this old difficulty, and procured... | |
| Sir Edward Johnson - Language and languages - 1842 - 622 pages
...word which is equivalent to any one of them, must, therefore, also be equivalent to the others, since **things which are equal to the same, are equal to one another.** I have said that when we wish to convert a noun into a verb, we do so by prefixing the word to. Thus,... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...But it has been proved that CA is equal to AB ; therefore CA, CB are each of them equal to AB ; now **things which are equal to the same are equal to one another,** (1. Axiom) ; therefore CA is equal to CB ; wherefore CA, AB, CB are equal to one another ; and the... | |
| Euclides - 1842 - 320 pages
...has been proved that C л is equal to A в ; therefore CA, c в are each of them equal to AB : but **things which are equal to the same are equal to one another** (1. Axiom) ; therefore CA is equal to cв ; wherefore c A, AB, вc are equal to one another ; and the... | |
| Philip Kelland - Algebra - 1843 - 168 pages
...I propose to take up the same subject, and inquire, for the sake of precision, whether the truth, " **things which are equal to the same are equal to one another," is** demonstrable or not. If it be an immediate consequence of our conception of equality, then is it properly... | |
| Francis Bacon - Induction (Logic) - 1844 - 348 pages
...similar to that of music termed the declining of a cadence. Again ; the mathematical postulate, that " **things which are equal to the same are equal to one another," is** similar to the form of the syllogism in logic, which unites things agreeing in the middle term. Lastly... | |
| George Robins Gliddon - Egypt - 1844 - 88 pages
...Asiatics, the utter destruction of all biblical chronology by thia process would be another. Now, " **things which are equal to •the same are equal to one another."** If they are anterior to Shoopho's pyramid in Egypt, then Weroe must have been occupied in the earliest... | |
| Euclid - Geometry - 1845 - 218 pages
...But it has been proved that CA is equal to AB ; therefore CA, CB are each of them equal to AB ; But **things which are equal to the same are equal to one another** || ; therefore CA is equal to CB ; wherefore CA, « i Axiom. AB, BC are equal to one another ; and... | |
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