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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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Novum Organum: Or, True Suggestions for the Interpretation of Nature

Francis Bacon - 1893 - 245 sider
...Similar to that of Music termed the Declining of a Cadence. Again ; the Mathematical Postulate, that things which are equal to the same are equal to one another, is Similar to the Form of the Syllogism in Logic, which unites things agreeing in the Middle Term....
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The Popular Science Monthly, Volum 8

1876
...the same time be and not be ; 2. That if equals be added to equals, the wholes are equal ; 3. That things which are equal to the same are equal, to one another. It so happens that each of these propositions which he lias assumed to be true is, if true, much more...
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Hume, with Helps to the Study of Berkeley: Essays

Thomas Henry Huxley - 1896 - 319 sider
...straight and crooked would have no more meaning to him, than red and blue to the blind. The axiom, that things which are equal to the same are equal to one another, is only a particular case of the predication of similarity; if there were no impressions, it is obvious...
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Sermons Preached on Special Occasions, 1860-1889

Henry Parry Liddon - 1897 - 359 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...
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Mind, Volum 7

George Croom Robertson, George Frederick Stout, George Edward Moore - 1898
...circles ' respectively. In the following, eg : — ' Two straight lines cannot enclose a space ' ; ' A circle may be described from any centre at any distance from that centre ' ; ' Hull lies due north of London,' the matter becomes more doubtful. Is our assertion, eg, about...
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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Bok 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 sider
...that is to say a terminated, straight line may be produced to any length in that straight line. 3. That a circle may be described from any centre, at any distance from that centre, that is, with a radius equal to any finite straight line drawn from the centre. NOTES ON THE POSTULATES....
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Advancement of Learning and Novum Organum

Francis Bacon - 1900
...similar to that of music termed the declining of a cadence. Again—the mathematical postulate, that things which are equal to the same are equal to one another, is similar to the form of the syllogism in logic, which unites things agreeing in the middle term....
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Novum organum

Francis Bacon - 1901
...similar to that of music termed the declining of a cadence. Again — the mathematical postulate, that things which are equal to the same are equal to one another, is similar to the form of the syllogism in logic, which unites things agreeing in the middle term."...
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Physical and Metaphysical Works: Including the Advancement of Learning and ...

Francis Bacon - 1901 - 567 sider
...similar to that of music termed the declining of a cadence. Again, — the mathematical postulate, that things which are equal to the same are equal to one another, • similar to the form of the syl] j ism in logic, which unite* things agreeing in the middle term.11...
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Euclid, Bok 1

Euclid, Rupert Deakin - 1903 - 164 sider
...finite, that is to say 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. A XIOMS. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added...
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