 | Euclid, Robert Simson - 1821 - 514 σελίδες
...another. VIII. Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. The whole is greater than- its part. X, Two straight lines cannot enclose a space. XI. All right angles afe equal to one another. XII. "... | |
 | Euclid, John Playfair - 1826 - 326 σελίδες
...another. VIII. Magnitudes whieh eoineide with one another, that is, whieh exaetly fill the same spaee, are equal to one another. The whole is greater than its part. All right angles are equal to one .' Two straight Hoes whieh interseet one another, eannot be both... | |
 | William Smith - 1849 - 1222 σελίδες
...either as common to all men or to all sciences, such assertions as that — things equal to the same are equal to one another — the whole is greater than its part — &c. Modern editors have put the lost three postulates at the end of the common notions, and applied... | |
 | Herbert Spencer - 1851 - 492 σελίδες
...simple propositions upon which we all think alike, such as " Things which are equal to the same thing are equal to one another ; " " The whole is greater than its part ; " and agreeing upon these axioms as we call them — these fundamental truths recognised by our geometric... | |
 | William Thomas Brande, George William Cox - 1865 - 978 σελίδες
...among the proposition» of this kind enunciated by Euclid: 'Things that arc equal to the same thing are equal to one another.' 'The whole is greater than its part.' ' If equals lie added to equals, the sums will be equal.' ' If two figures when placed the one on the... | |
 | George William Cox - 1867 - 1002 σελίδες
...among (ho propositions of this kind enunciated by Euclid : ' Things that are equal to the same thing are equal to one another.' 'The whole' is greater than its part.' ' If equals be added to equals, the sums will be equal.' ' If two figures when placed the one on the... | |
 | Arthur Cayley Headlam - 1888 - 540 σελίδες
...Grace) ; to whom we may now add, in his latest volume, Professor Max Muller. equal to the same thing are equal to one another ; ' ' the whole is greater than its part ; ' ' two added to two makes four.' In the region of morality consider such assertions as these : '... | |
 | Herbert Spencer - 1892 - 452 σελίδες
...propositions upon which we all think alike, such as — " Things which are equal to the same thing are equal to one another ; " — " The whole is greater than its part ; " and, agreeing upon these aafioms, as we call them, we find it possible by successive deductions... | |
 | 1838 - 596 σελίδες
...references are always to the 2d 8vo edit. 1816. f P. 527. ' is, which exactly fill the same space, are equal to one another.' ' The whole is greater than its part/ This further restriction appears to be required on his own principles, the first of these two being... | |
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Things which coincide with one another are equal to one another. 