| 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.... | |
| |