| 1852
..."Yes." " And the three baskets three days too?" "Yes." Well, thought I, if it be a true axiom that **things which are equal to the same are equal to one another,** then a grape vine and a basket are identical ! So, finding the rabbinical logic of this poor deluded... | |
| Euclides - 1852
...a circle may be described from any centre, with any distance from that centre as radius. AXIOMS. 1. **Things which are equal to the same, are equal to one another.** 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders... | |
| Euclides - 1853 - 147 sider
...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** (1 ax.); therefore ca is equal to cb; wherefore ca, ab, bc are equal to one another; and the triangle... | |
| Euclides - 1853
...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** (Ax. 1.) ; therefore 3. CA is equal to CB. Wherefore CA, AB, BC, are equal to one another ; and therefore... | |
| sir George Ramsay (9th bart.) - 1853
...intervention of any general axiom, that the side AB is equal to the side A C. The general axiom, that **things which are equal to the same are equal to one another,** cannot make the conclusion one whit more evident than it was before. We see at once from the particular... | |
| Royal Military Academy, Woolwich - 1853
...3. And that a circle may be described from any centre, at any distance from that centre. AXIOMS. 1. **Things which are equal to the same are equal to one another.** 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders... | |
| William Somerville Orr - 1854
...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 arc... | |
| John Stevenson Bushnan - 1854 - 234 sider
...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 - 338 sider
...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 - 1855 - 385 sider
...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... | |
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