 If of three quantities the first is greater than the second and the second greater than the third, then the first is greater than the third.  Elements of Geometry - Page 5by Andrew Wheeler Phillips, Irving Fisher - 1896 - 540 pagesFull view - About this book
 | John Charles Stone, James Franklin Millis - Geometry - 1916 - 306 pages
...sum of all of its parts, and is greater than any one of its parts. XI. If the first of three things is greater than the second, and the second greater...the third, then the first is greater than the third. PERPENDICULAR LINES 22. Perpendicular lines. — If two intersecting straight lines form right angles,... | |
 | John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...sum of all of its parts, and is greater than any one of its parts. XI. If the first of three things is greater than the second, and the second greater...the third, then the first is greater than the third. XII. A quantity may be substituted for its equal in any expression. DEFINITIONS, THEOREMS, ETC. §... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...VII. The whole is greater than any of its parts and is equal to the total of all of its parts. VIII. If of three quantities the first is greater than the second, and the second is greater than the third, then the Jirst is greater than the third. IX. If the members of an inequality... | |
 | Ernst Rudolph Breslich - Mathematics - 1916 - 392 pages
...order (§ 11). For example, 9 > 2 and 4>3 Hence, 13 > 5 4. // three magnitudes are so related that the first is greater than the second and the second greater than the third, the first is greater than the third. 220 For, if a>b and b>c, then a+6>6+c. Subtracting 6 from both... | |
 | William Betz - Geometry - 1916 - 536 pages
...— c < 6 — d. 12. If of three magnitudes the first is greater than the second, and the second is greater than the third, then the first is greater than the third. That is, if a > 6 and 6 > c, then a > c. 223. Two inequalities have already been established : The... | |
 | William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...opposite sense. 12. If of three magnitudes the first is greater than the second, and the second is greater than the third, then the first is greater than the third. 224. If two sides of a triangle are unequal, the angles opposite are unequal, and the greater angle... | |
 | Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Solid - 1917 - 220 pages
...unequals are subtracted from equals, the remainders are unequal in the reverse order. INEQUALITY AXIOM 4. If, of three quantities, the first is greater than the second, and the second is greater than the third, then the first is greater than the third. INEQUALITY AXIOM 5. A given magnitude,... | |
 | University of California (1868-1952) - Philosophy - 1918 - 338 pages
...where the first is greater than the third. Minor premise. A, B, C, is a case where, of three things, the first is greater than the second and the second greater than the third. Conclusion. A, B, C, is a case where the first is greater than the third. Here again a criticism has... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...35° / T. = 20° Axiom. // 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. 180. Straight Line. The expression straight line is derived from words meaning a stretched linen cord,... | |
 | High schools - 1918 - 378 pages
...the beginner. Axioms: 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. A quantity may be substituted for its equal in an equation or an inequality. If unequals are added... | |
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