| J. Stevenson Bushnan - 1854 - 268 pages
...truths — also such propositions as that, when equals are taken from equals, equals remain ; that **things which are equal to the same are equal to one another** ; that things which are doubles or halves of the same, are equal to one another; that twice four are... | |
| Francis Bacon - 1855 - 386 pages
...of Music called " sliding from the close or cadence." In like manner, the Mathematical Postulate, " **those things which are equal to the same, are equal to one another," is** Conformable to the construction of the Syllogism in Logic; for it unites those Terms which agree in... | |
| Francis Bacon - Science - 1855 - 386 pages
...of Music called "sliding from the close or cadence." In like manner, the Mathematical Postulate, " **those things which are equal to the same, are equal to one another," is** Conformable to the construction of the Syllogism in Logic; for it unites those Terms which agree in... | |
| Robert Potts - Scholarships - 1855 - 586 pages
...that the evidence of the conclusion is manifest.—Dr Whewett. 199. 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.—Bacon.... | |
| Robert Potts - 1855 - 1050 pages
...that the evidence of the conclusion is manifest.—Dr Whewell. 199. 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.—Bacon.... | |
| 1855 - 424 pages
...art equal to ta<A other. (Euclid 11, 5.) This is nothing more than an application of the axiom, that **things which are equal to the same are equal to one another.** And с : d : : m : n 2. If a :.* : : m : я And m : n : : с : d Cor. If a : 6 : : m : я l m : п>... | |
| Edward Tagart - Hume, David, 1711-1776 - 1855 - 524 pages
...of nature and fact. In mathematical reasoning, no axiom is more constantly employed than this — ' **things which are equal to the same are equal to one another.'** Are the ideas of equality and inequality in the mind of a child before things have been observed, measured,... | |
| Robert Potts - Scholarships - 1855 - 588 pages
...that the evidence of the conclusion is manifest.—Dr Whewell. 199. The mathematical postulate, that " **things which are equal to the same are equal to one another,** 1 ' is similar to the form of the syllogism in logic, which unites things agreeing in the middle term.—Bacon.... | |
| Francis Bacon, Basil Montagu - 1857 - 612 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:... | |
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