 | Euclides - 1874 - 120 pages
...Things which are double of the same are equal to one another. 7. Things which are halves of the same are equal to one another. 8. Magnitudes which coincide...with one another, that is, which exactly fill the same space, are equal to one another. 9. The whole is greater than its part. 10. Two straight lines... | |
 | Edward Atkins - 1874 - 426 pages
...Things which are double of the same are equal to one another. 7. Things which are halves of the same are equal to one another. 8. Magnitudes which coincide...with one another, that is, which exactly fill the same space, are equal to one another. 9. The whole is greater than its part. 10. Two straight lines... | |
 | Edward Atkins - 1876 - 130 pages
...Things which are double of the same are equal to one another. 7. Things which are halves of the same are equal to one another. 8. Magnitudes which coincide...with one another, that is, which exactly fill the same space, are equal to one another. 9. The whole is greater than its part. 10. Two straight lines... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...this manner we form our idea of equality, •which is thus formally stated in the eighth axiom : " Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another." Every specific definition is referred to this universal principle.... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...same, or of equals, are equal to one another. 7. Things which are halves of the same, or of equals, are equal to one another. 8. Magnitudes which coincide...with one another, that is, which exactly fill the same space, are equal to one another. 9. The whole is greater than any of its parts. 10. The whole... | |
 | Edward Atkins - 1877 - 72 pages
...Things which are double of the same are equal to one another. 7. Things which are halves of the same are equal to one another. 8. Magnitudes which coincide...with one another, that is, which exactly fill the same space, are equal to one another. 9. The whole is greater than its part. 10. Two straight lines... | |
 | Euclides - 1877 - 58 pages
...are double of the same thing are equal to one another. 7. Things which are halves of the same thing are equal to one another. 8. Magnitudes which coincide with one another, that is which exactly fill the same space, are equal to one another. 9. The whole is greater than its part. 10. Two straight lines... | |
 | Euclides - 1879 - 146 pages
...are double of the same thing are equal to one another. 7. Things which are halves of the same thing are equal to one another. 8. Magnitudes which coincide...with one another, that is, which exactly fill the same space, are equal to one another. 9. The whole is greater than its part. 10. Two straight lines... | |
 | Moffatt and Paige - 1879 - 428 pages
...are double of the same thing are equal to one another. (7) Things that are halves of the same thing are equal to one another. (8) Magnitudes which coincide...with one another, that is, which exactly fill the same space, are equal to one another. (9) The whole is greater than its part. (10) Two straight lines... | |
 | Rolla Rouse - 1879 - 400 pages
...7. Things which are halves of the same are equal to one another (A = JB . C = £B .-. A = C). Axiom 8. Magnitudes which coincide with one another, that is which exactly fill the same space, are equal to one another. (For example, squares with 1-inch sides.) Axiom 9. The whole... | |
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Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. 
