 | 1858 - 402 pages
...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 - Geometry, Plane - 1860 - 380 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,...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 - 172 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,...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 - 74 pages
...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 pages
...unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI. Things which are double of the same, are equal to...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... | |
 | 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,...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 - 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,...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... | |
 | Edward Clarke Lowe - 1866 - 172 pages
...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,...exactly fill the same space, are equal to one another. 9. The whole is greater than its part. 10. Two straight lines cannot enclose a space. 11. All right... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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,...exactly fill the same space, are equal to one another. 9. The whole is greater than its part. 10. Two straight lines cannot enclose a space. 11. All right... | |
 | 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,...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. XI. All right... | |
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Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. 
