 | 1858 - 402 σελίδες
...Marvels" is equal to Mrs. Stowe's "Memories," and the total equivalent to a whole calf's head. VIH. Magnitudes which coincide with one another, that is, which exactly fill the same space, are eqnal to one another, thus—two booby lords, or magnitudes, which coincide in the Cabinet, in the... | |
 | Robert Potts - 1860 - 380 σελίδες
...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,...exactly fill the same space, are equal to one another." Every specific definition is referred to this universal principle. With regard to a few more general... | |
 | Euclides - 1862 - 140 σελίδες
...of the same are equal to one another. 8. Magnitudes which coincide with one another, that is, wliich exactly fill the same space, are equal to one another....greater than its part. 10. Two straight lines cannot inclose a space. 11. All right angles are equal to one another. 12. If a straight line meet two straight... | |
 | Euclides - 1862 - 172 σελίδες
...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,...exactly fill the same space, are equal to one another. IX. The whole is greater than its part. X. Two straight lines cannot inclose a space. XI. All right... | |
 | Euclides - 1863 - 122 σελίδες
...of the same, are equal to one another. 8. Magnitudes which coincide with one another, that which is exactly fill the same space, are equal to one another. 9. The whole is greater than its part. j 11. All right angles are equal to one another. | 10. Two straight lines cannot enclose a space to... | |
 | Euclides - 1863 - 74 σελίδες
...another. II. The Five Axioms, which apply especially to magnitude^ are peculiarly AXIOMS OF GEOMETBT: 8. Magnitudes which coincide with one another, — that...which exactly fill the same space, — are equal. " This Axiom is properly the definition of Geometrical equality." If all the parts and boundaries of... | |
 | Euclides - 1864 - 448 σελίδες
...same, are equal to one another. vn. Things which are halves of the same, are equal to one another. vin. Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another. IX. The whole is greater than its part. X. Two straight lines cannot enclose a space. XL All right... | |
 | Euclides - 1865 - 402 σελίδες
...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,...exactly fill the same space, are equal to one another. IX. The whole is greater than its part. X Two straight lines cannot inclose a space. XL All right angles... | |
 | Robert Potts - 1865 - 528 σελίδες
...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,...exactly fill the same space, are equal to one another." Every specific definition is referred to this universal principle. With regard to a few more general... | |
 | Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...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,...angles are equal to one another. 12. If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together... | |
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Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. 
