| Thomas Harper - 1881
...Principle in order of reduction. PROLEGOMENON I. The Law of equality is usually expressed in this wise: **Things which are equal to the same are equal to one another.** Here, at length, a Principle is set before us, which seems to carry on its front a capacity for becoming... | |
| Isaac Todhunter - 1880 - 400 sider
...other point : 2. That a terminated straight line may be produced to any length in a straight line : 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 thing are equal to one another. 2. If equals be added to equals... | |
| Euclid, F. B. Harvey - 1880 - 119 sider
...any other point. That a terminated straight line may be produced to any length in a straight line. 3. **That a circle may be described from any centre, at any distance from that centre.** The Postulates are ' Requests ' that Euclid makes for certain things to be allowed as permissible in... | |
| 1881
...premises, the science of mathematics is " fundamentally wrong," and that it is an error to believe that **things which are equal to the same, are equal to one another,** or that the whole is greater than its parts. Accordingly, were it true that Freethinkers differed from... | |
| 1881
...always begin with an invocation to the Pleiades, thus fixing the original November date of the feast. " **Things which are equal to the same are equal to one another."** I have already adduced evidence to show that the Serbian Christmas feast is substantially a more primitive... | |
| Herbert Spencer - 1881
...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... | |
| James McCosh - 1882 - 451 sider
...that all straight lines drawn from a certain point •within the figure are equal to one another ;" **and that " A circle may be described from any centre at any distance from that centre."** I shall have occasion, in speaking of the application of the principles laid down in this treatise... | |
| Marianne Nops - 1882
...other.' 2. ' That a terminated straight line may be produced to any length in a straight line.' 3. ' **That a circle may be described from any centre at any distance from that centre.'** Postulates 4 and 5 refer to simple geometrical truths which are quite evident ; postulate 6 is not... | |
| Herbert Spencer - 1882
...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... | |
| Euclid, Isaac Todhunter - 1883 - 400 sider
...other point : 2. That a terminated straight line may be produced to any length in a straight line : 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 thing are equal to one another. 2. If equals be added to equals... | |
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