 | Robert Potts - 1865 - 528 pages
...In 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.... | |
 | Euclides - 1865 - 402 pages
...are equal to one another. VII. Things which are halves of the same, are equal to one another. VIII. Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. IX. The whole is greater than its part. X Two straight lines... | |
 | Edward Clarke Lowe - 1866 - 172 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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 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 exag^ly fill the same space, are equal to one another. 9. The whole is greater than its part. 10. Two... | |
 | Robert Potts - 1868 - 434 pages
...are equal to one another. VII. Things which are halves of the same, are equal to one another. VEIL Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. IX. The whole is greater than its part. X. Two straight lines... | |
 | Euclid - Geometry - 1872 - 284 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 are equal to one another. 9. The whole is greater than its part. 1 0. Two right lines cannot enclose... | |
 | William Alexander Myers - Circle-squaring - 1873 - 238 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... | |
 | William Alexander Myers - Circle-squaring - 1874 - 207 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 - 1874 - 342 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... | |
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Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. 
