| John Neville Keynes - 1884 - 414 páginas
...I should say the same in reference to Hansel's remark (Prolegomena Logica, p. i03), that the Axiom **"things that are equal to the same are equal to one another"** is only another statement of the Principle of Identity. CHAPTER II. SIMPLE EXERCISES ON THE SYLLOGISM.... | |
| Euclides - 1884
...EBA, ABD. But the angles CBE, EBD have been proved equal to the same three angles ; and things which **are equal to the same are equal to one another ; therefore the** angles CBA, ABD are equal to the angles CBE, EBD. ' (Ax. 1) But CBE, EBD are two right angles. (Constr.)... | |
| Euclid, John Casey - 1885 - 312 páginas
...sum of the angles CBE, EBD is equal to the sum of the three angles CBE, EBA, ABD. And things which **are equal to the same are equal to one another. Therefore the** sum of the angles CBA, ABD is equal to the sum of the angles CBE, EBD ; but CBE, EBD are right angles... | |
| Jeremiah Sullivan Black - 1885 - 621 páginas
...and the white men, and therefore yon can not distinguish between the white men themselves, because **things that are equal to the same are equal to one another.** Is not that as certain as mathematics ? If a State Constitution would provide for a Supreme Court,... | |
| Euclides - 1885
...sum of the angles CBE, EBD is equal to the sum of the three angles CBE, EBA, ABD. And things which **are equal to the same are equal to one another. Therefore the** sum of the angles CBA, ABD is equal to the sum of the angles CBE, EBD ; but CBE, EBD are right angles... | |
| H. Freeman Wood - 1888 - 398 páginas
...each of them equal to BG. And as things which are equal to the same thing are equal to one another, **AL is equal to BC; wherefore, from the given point...been drawn, equal to the given straight line BC."** Inspector Byde surveyed his handiwork with approbation, and added, most conscientiously, "QEF" He also... | |
| Edward W. Badger, William Hillhouse - 1888
...what process of experiment do you proceed to prove an axiom such as that expressed by the words, " **Things that are equal to the same are equal to one another** ? " It cannot be done, as at every step of the proof it is taken for granted ; presuming that physical... | |
| C. Candler - 1889 - 381 páginas
...by inoculation •with the blood, it follows — if the proposition holds good in bacteriology that **things that are equal to the same are equal to one another** — that bacteroid forms occur in the organism after inoculation with straw fungi. I conceive that... | |
| James Fyfe - 1890 - 407 páginas
...moment. They both derive all their force from their mother, aevum, ever ; and there is an old axiom : **Things that are equal to the same are equal to one another.** In early Greek, as in Attic still, alan> (aion) signifies the duration of human life, course or term... | |
| Lewis Carroll - 1890
...Physiology rather than in Geometry. The 47th Proposition of Euclid is quite as true as the Axiom ' **things that are equal to the same are equal to one another** ' ; but the average human intellect, while accepting the latter without proof, does most certainly... | |
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