| Evan Lewis - Creation - 1865 - 150 pages
...Euclid are felt to be true in every age, and among every people : "The whole is greater than its part." **"Things which are equal to the same, are equal to one another."** There may be truths which reason can neither discover nor comprehend; but nothing can be true which... | |
| James McCosh - Philosophy - 1866 - 424 pages
...principle in all such cases is either, ' Things are the same which are the same with a third,' or ' **things which are equal to the same are equal to one another.'** Much confusion is avoided by allotting reasoning of this description to a separate head. As there is... | |
| Charles Knight - Biography - 1866 - 552 pages
...mentions that Apollonius attempted to prove the axioms, and cites his investigation of the theorem, that **things which are equal to the same are equal to one another,** in which, as may be supposed, propositions are assumed not more obvious than the theorem itself. Vitruvius... | |
| Francis Garden - 1867 - 222 pages
...affections of the thing thought about, not of our thought about it. PART III. ON SYLLOGISM. § 1. AXIOMS. I. **THINGS which are equal to the same are equal to one another.** II. A part of a part is a part of the whole. III. A predicate of a predicate is a predicate of the... | |
| Religion and science - 1867 - 524 pages
...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.... | |
| Lenten sermons - 1868 - 254 pages
...: 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 - 274 pages
...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 - 250 pages
...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 - Theology - 1870 - 248 pages
...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... | |
| Great Britain - 1870 - 688 pages
...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... | |
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