 | Euclid - 1776 - Počet stránok 318
...forwards : And, III. That a circle may be defcribed about any center, with any diftance. AXIOMS, L THINGS equal to one and the fame thing are equal to one another. II. If equal things ar.e added to equal things, the wholes will be e^ qual. III. If from equal things... | |
 | James Beattie - 1776 - Počet stránok 504
...opinion. So is Apollonius; who, agreeably to it, has attempted a demonftration of this axiom, That things equal to one and the fame thing are equal to one another. — But whatever account we make of thefe opinions, they afreet not our doctrine. However far the demonftration... | |
 | George Gregory - 1796 - Počet stránok 646
...of the fenfes, where the variety of afTociations affords a greater fcope for error. Thus, '« that things equal to one and the fame thing are equal to one another;" " that nothing material exifts without a caufe " " that, therefore, - this world has a firft caufe,"... | |
 | Colin Macfarquhar, George Gleig - 1797 - Počet stránok 422
...two right-angles;" adds by way of corollary, " that all the three angles of any one triangle taken together are equal to all the three angles of any...triangle taken together :" which is evident at firft fight ; becaufe in all cafes they are equal to two right ones, and things equal to one and the fame... | |
 | William Duncan - 1802 - Počet stránok 244
...to two righf angles ; adds, by way of corollary, that all the three angles of any one triangle take* together, are equal to all the three angles of any...other triangle, taken together : which is evident at first sight; because in all cases they are equal to two right ones, and things equal to two and the... | |
 | William Duncan - 1802 - Počet stránok 258
...to two right angles ; adds, by way of corollary, that all the three angles of any one triangle taken together, are equal to all the three angles of any...other triangle, taken together : which is evident at first sight j because in all cases they are equal to two right ones, and things equal to two and the... | |
 | William Duncan - 1802 - Počet stránok 256
...two right angles ; adds, by way of corollary, that all the three 'angles of any one triangle taken together, are equal to all the three angles of any other triangle, taken together i which is evident at first sight; because in all cases they are equal to two right ones, »nd things... | |
 | James Maitland Earl of Lauderdale - 1804 - Počet stránok 504
...refpectively poflefled, they might then difcover the relative value of the wheat and the beer, becaufe two things equal to one and the fame thing are equal to one another; but as it would probably happen, that the farmer and brewer had never exchanged wheat and beer for... | |
 | James Maitland Earl of Lauderdale - 1804 - Počet stránok 506
...refpectively poflened, they might then difcover the relative value of the wheat and the beer, becaufe two things equal to one and the fame thing are equal to one another ; but as it would probably happen, that the farmer and brewer had never exchanged wheat and beer for... | |
 | 1806 - Počet stránok 740
...againft the truth of Euclid's firil Axiom ? " By what authority does the mathematician conclude that ' things equal to one and the fame thing are equal to one another ?' Becaufe, anfwers he, I difcern that any two magnitudes found to be each equal to a third, are equal... | |
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Angles ; adds by way of Corollary, that all the three Angles of any one Triangle... 
