 | Euclid - 1892 - 460 Seiten
...things, are equal to one another. 7. Things which are halves of the same thing, or of equal things, are equal to one another. 9.* The whole is greater than its part. * To preserve the classification of general and geometrical axioms, we have placed Euclid's ninth axiom... | |
 | Elias Loomis - 1895 - 450 Seiten
...equals, are equal to one another. 8. Magnitudes which coincide with one another, that is, which .xactly fill the same space, are equal to one another. 9. The whole is greater than any of its parts. 10. The whole is equal to the sum of all its parts. 11. From one point to another... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 Seiten
...things, are equal to one another. . 7. Things which are halves of the same thing, or of equal things, are equal to one another. 9.* The whole is greater than its part. * To preserve the classification of general and geometrical axioms, we have placed Euclid's ninth axiom... | |
 | Frederick Converse Beach, Forrest Morgan, E. T. Roe, George Edwin Rines, Nathan Haskell Dole, Edward Thomas Roe, Thomas Campbell Copeland - 1903 - 878 Seiten
...part"; "Things that are equal to the same thing are equal to one another"; "Magnitudes which coincide, that is, which exactly fill the same space, are equal to one another in every respect." Bacon calls axiom a general principle, obtained by experiment and observation, from... | |
 | Euclid - 1904 - 488 Seiten
...things, are equal to one another. 7. Things which are halves of the same thing, or of equal things, are equal to one another. 9.* The whole is greater than its part. * To preserve the classification of general and geometrical axioms, we have placed Euclid-s ninth axiom... | |
 | 1906 - 576 Seiten
...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... | |
 | Joseph Gregory Horner - 1906 - 572 Seiten
...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,...are equal to o,ne 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... | |
 | Hastings Berkeley - 1910 - 279 Seiten
...is general, but in order to maintain it effectively it seems that we must hold the so-called Axiom 8 (magnitudes which coincide with one another, that...exactly fill the same space, are equal to one another) to be the expression of an assumption. I see in it nothing but a definition of ' identical ' equality... | |
 | Carl Sandburg - 1926 - 528 Seiten
...are halves of the same thing are equal to one another; (8) magnitudes which coincide with one another are equal to one another; (9) the whole is greater...part; (10) two straight lines cannot enclose a space. Quietly, by himself, he worked with these definitions and axioms. The book, "The Elements of Euclid,"... | |
 | John Whitehead, L. F. Whitehead - 1928 - 514 Seiten
...Kwani "elimu" ni ufahamu wa sulanashelia za vitu vya ulimwengo; Iakini 8. Magnitudes whichcoincide with one another, that is, which exactly fill the same space, are equa to one another. 9. The whole is greater than its part. I0. Two straight lines cannot enclose a... | |
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Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. 
