 | 1891
...must presuppose the admission of certain postulates on the part of both dramatist and audience. If that a circle may be described from any centre, at any distance from that centre, is matter of opinion, we can prove no mathematical proposition ; and, without some appropriate conceded... | |
 | Louis Mallet - 1891 - 356 sider
...Mill's " Principles of Pol. Econ.," cap. 21. exports exchange for the same quantity of money. And since things which are equal to the same are equal to one another, the imports and exports which are equal in money price would, if money were not used, precisely exchange... | |
 | 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.... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Shadworth Hollway Hodgson - 1898
...and also, by means of the plane, of parallel straight lines, in which use is made of the postulate " that a terminated straight line may be produced to any length in a straight line," that is, of the conception of infinity. The idea, that the direction of a straight line is not altered... | |
 | 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... | |
 | 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.... | |
 | 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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Let it be granted that a straight line may be drawn from any one point to any other point. 
