| 1867
...science. The man who tells me that he cannot believe that " the whole is greater than the part," or " that **things which are equal to the same are equal to one another,"** cannot step over the very threshold of geometry. Nor are these axioms confined to self-evident truths.... | |
| 1868 - 216 sider
...: it must always have been true that " truth is a virtue," as it must always have been true that " **things which are equal to the same are equal to one another."** And if moral or mathematical truth is thus co-eternal with God, it cannot be something independent... | |
| Mildmay conference - 1880 - 2062 sider
...another. I would remind you of an expression which I made use of in prayer on this platform this week — **"Things which are equal to the same are equal to one another."** If then we are equally like Jesus, we shall be like one another. Thus shall we learn to love one another,... | |
| James Allanson Picton - 1870
...must owe something to each of these. Let it be granted for instance that the universal judgment, " **things which are equal to the same are equal to one another," is** not merely suggested but learned by experience. Still, the fact that experience takes this form is... | |
| James Allanson Picton - 1870 - 227 sider
...must owe something to each of these. Let it be granted for instance that the universal judgment, " **things which are equal to the same are equal to one another," is** not merely suggested but learned by experience. Still, the fact that experience takes this form is... | |
| 1870
...properties as emotion we shall not only have established points of resemblance between the two (for **things which are equal to the same are equal to one another),** but we shall have actually reached the common ground, or kind of border-land, upon which internal emotion... | |
| Herbert Spencer - 1872
...knowledge beyond that of the coexistence of an indefinite number of things ; any more than the axiom — **"Things which are equal to the same are equal to one another,"** can, by multiplied application, do more than establish the equality of some series of magnitudes. But... | |
| Christian evidence society, Samuel Wilberforce - 1872 - 468 sider
...things, this maxim we apply to the actual material of this world. Did we apply, eg, the axiom that **things which are equal to the same are equal to one another** to actual things, we should first have to ascertain the fact that the two things were exactly equal,... | |
| Euclid - 1872 - 261 sider
...3. That a circle can be described from any centre, with any radius. COMMON NOTIONS, OR AXIOMS. 1 . **Things which are equal to the same are equal to one another.** 2. If equals be added to equals, the wholes will be equal. 4. If to unequals, equals be added, the... | |
| James Allanson Picton - 1873 - 492 sider
...believes the axioms of Euclid, but simply because of the impossibility of thinking the contrary. That " **things which are equal to the same are equal to one another " is a** truth clear at once to any mind capable of understanding its terms, without the slightest necessity... | |
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