 If the first of three quantities is greater than the second, and the second is greater than the third, then the first is greater than the third.  School Algebra - Page 146by James William Nicholson - 1909 - 316 pagesFull view - About this book
 | Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...inequality. Ax. 3. // three quantities are so related that the first is greater than the second, while the second is greater than the third, then the first is greater than the third. Ax. 4. // equals are added to equals, the sums are equal. Ax. 5. // equals are added (:> unequals,... | |
 | Clarence Addison Willis - Geometry, Modern - 1922 - 320 pages
...unequals, the greater to the greater and the less to the less, . 10. If, of three unequals, the first is greater than the second, and the second is greater than the third, . 11. The whole is equal to the sum of all its parts. 12. The whole is greater than any of its parts.... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Solid - 1922 - 216 pages
...VII. The whole is greater than any of its parts. 137. Axiom VIII. If the first of three magnitudes is greater than the second and the second is greater than the th'ird, the first is greater than the third. 139. Axiom IX. If the same number, positive or negative, is added... | |
 | Robert Remington Goff - 1922 - 136 pages
...unequal in the same order. c. If the first of three quantities is greater than the second and the second greater than the third, then the first is greater than the third. d. If unequals are added to unequals in the same order, the results are unequal in the same order.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...quotients are equal. (Important special case : halves of equals are equal.) 9. If one of three quantities is greater than the second, and the second is greater...the third, then the first is greater than the third. 10. The whole is equal to the sum of all its parts. 11. T/ie whole is greater than any of its parts.... | |
 | David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...and x — a<y — b. The student should illustrate as in Ax. 7. . 9. If the first of three quantities is greater than the second, and the second is greater...the third, then the first is greater than the third. Thus, if a > b and if 6 > c, then a > c. 27. Postulate. In geometry a geometric statement admitted... | |
 | David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...subtracted from equals, the remainders are unequal in reverse order. 9. If the first of three quantities is greater than the second, and the second is greater...the third, then the first is greater than the third. 10. The whole is greater than any of its parts and is equal to the sum of all its parts. 5. Postulates.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1925 - 504 pages
...are equal. (Important special case : halves of equals are equal.) 9. // the first of three quantities is greater than the second, and the second is greater...the third, then the first is greater than the third. 10. The whole is equal to the sum of all its parts. 11. The whole is greater than any of its parts.... | |
 | Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...from equals, the remainders are unequal in the reverse order. 11. If the first of three quantities is greater than the second, and the second is greater than the third, the first is greater than the third. 12. The whole is equal to the sum of all its parts and, therefore,... | |
| |
