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" Let it be granted that a straight line may be drawn from any one point to any other point. "
The Elements of Euclid - Side 8
av Euclid - 1838 - 416 sider
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The Metaphysics of the School: Book4. Principles of being; Book 5. Causes of ...

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...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

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...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

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...
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Pamphlets, Religious: Miscellaneous, Volum 14

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...
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Macmillan's Magazine, Volum 43

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...
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Works, Volum 3

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...
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Intuitions of the Mind: Inductively Investigated

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...
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Class lessons on Euclid

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...
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The Principles of Psychology, Volum 2

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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

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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