Things that are equal to one and the same thing, are equal to each other. 2. Every whole is greater than its part. % 3. Every whole is equal to all its parts taken together. 4 If to equal things, equal things be added, the whole will be equal. 5. If from... A Treatise of Practical Surveying, ... - Pàgina 24per Robert Gibson - 1808 - 440 pàginesVisualització completa - Sobre aquest llibre
| Dugald Stewart - 1821 - 706 pàgines
...right angles;" ire manifestly principles which bear no analogy to such barren <ruunu as these, "Tbiofs that are equal to one and the same thing are equal to one another." " If equals be added to enuals, the wholes are equal." "If equals be taken from equals,... | |
| George Crabb - 1826 - 768 pàgines
...moral agents who are susceptible of moral truth ; it comes home to the common sense of all mankind. * " Things that are equal to one and the same thing are equal to each other," — " Two bodies cannot occupy the same space at the same time," are axioms in mathematics... | |
| Dugald Stewart - 1829 - 442 pàgines
...right angles ; " are manifestly principles which bear no analogy to such barren truisms as these, " Things that are equal to one and the same thing are equal to one another." " If equals be added to equals, the wholes are equal." " If equals be taken from equals,... | |
| Dugald Stewart - 1829 - 418 pàgines
...right angles ; " are manifestly principles which bear no analogy to such barren truisms as these, " Things that are equal to one and the same thing are equal to one another." " If equals be added to equals, the wholes are equal." " If equals be taken from equals,... | |
| Robert Gibson - 1832 - 290 pàgines
...that every magnitude has its half, third, fourth, &c. part. Note. — Though these postulates are act always quoted, the reader will easily perceive where...its part. 3. Every- whole is equal to all its parts taken together. 4. If to equal things equal things be added, the whole will be equal. 5. If from equal... | |
| Robert Gibson - 1833 - 436 pàgines
...angles to others given, be granted as possible : that it is possible for one rightlinetobeperpendicular to another at a given point or distance ; and that...its part. 3. Every whole is equal to all its parts taken together. 4. If to equal things equal things be added, the whole will be equal. . 5. If from... | |
| 1838 - 596 pàgines
...two right angles;" are manifestly principles which bear no analogy to such barren truisms as these, "Things that are equal to one and the same thing are equal to one ano" ther." "If equals be added to equals, the whole are equal." "If " equals be taken from equals,... | |
| Robert Gibson, James Ryan - 1839 - 452 pàgines
...third, fourth, A. i . part. - Note. — Though these postulates are not always quoted, the rciuler will easily perceive where and in what sense they...Things that are equal to one and the same thing are t''{lial to each other. 2. Every whole is greater than its part. 3. Every whole is equal to all its... | |
| Dugald Stewart - 1854 - 452 pàgines
...right angles ;" are manifestly principles which bear no analogy to such barren trulsmt as these : — " Things that are equal to one and the same thing are equal to one another ;" — " If equals be added to equals, the wholes are equal ;" — " If equals be taken... | |
| Dugald Stewart - 1854 - 454 pàgines
...right angles ;" are manifestly principles which bear no analogy to such barren truismo as these : — " Things that are equal to one and the same thing are equal to one another ;" — " If equals be added to equals, the wholes arc equal ;" — " If equals he taken... | |
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