 | Isaac Sharpless - 1879 - 282 σελίδες
...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 than its part. 10. All right angles are equal to one another. 11. Two straight lines which intersect each other cannot... | |
 | Euclides, Frederick Burn Harvey - 1880 - 178 σελίδες
...equal to one another. 8. Magnitudes which coincide with one another — that is, which fill exactly the same space — are equal to one another. 9. The...than its part. 10. Two straight lines cannot enclose space. 11. All right angles are equal to one another. 12. If a straight line meets two straight lines... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 σελίδες
...unequals, the Remainders are unequai. 6. Things which are Double of the same are Equal to one another. '}. Things which are Halves of the same are Equal to one...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 meets two... | |
 | Euclid - 1892 - 460 σελίδες
...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 σελίδες
...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 σελίδες
...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... | |
 | Euclid - 1904 - 488 σελίδες
...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... | |
 | Carl Sandburg - 1926 - 528 σελίδες
...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,"... | |
 | Franklin D. Jones - 1928 - 1254 σελίδες
...to one another. 8. Geometrical quantities which coincide with one another, that is, which actually fill the same space, are equal to one another. 9. The whole is greater than any of its parts. 10. Two straight lines cannot enclose a space, n. All right angles are equal to one... | |
 | 1906 - 600 σελίδες
...are double 01 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...whole is greater than its part. 10. Two straight lines can not enclose a space. 11. All right angles are equal to one another. 12. If a straight line meet... | |
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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. 
