 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 - Side 5av Andrew Wheeler Phillips, Irving Fisher - 1896 - 540 siderUten tilgangsbegrensning - Om denne boken
 | Arthur Browne (M.A.) - 1824 - 232 sider
...+ #c. (3). involving the positive integer powers of the same unknown quantity ; and if the first be greater than the second, and the second greater than the third, then A' is either equal to one of the quantities A and A", or else it lies between them. Since first series... | |
 | Scottish school-book assoc - 1845 - 444 sider
...less than a third, the other is also less than the third. 14. If there are three magnitudes, such that the first is greater than the second, and the second greater than the third, much more is the first greater than the third. 15. If there are three magnitudes, such that the first... | |
 | Thomas Grainger Hall - 1846 - 480 sider
...B^cc, and A + Вгт be three algebraical expressions taken in order of magnitude, viz., the first greater than the second, and the second greater than the third, then shall A^ = A, whatever be the value of ее. For (A + Bos) - (A + B2œ) is > (A + Bv) - (At + B^);... | |
 | Benjamin Franklin Finkel - 1888 - 518 sider
...the two lines are equal M r H /f once and only once, viz., when both are equal to the line IK. 16. If of three quantities the first is greater than the...the third, then the first is greater than the third. Thus, if A is greater than B and B greater than C, then A is greater than C. 17. Two straight lines... | |
 | Andrew Wheeler Phillips, Irving Fisher - 1896 - 276 sider
...is one and only one straight line parallel to a given straight line. (c.) Superposition axiom.—Any figure in a plane may be freely moved about in that...third, then the first is greater than the third. 12. Def.—-Plane Geometry treats of figures in the same plane. PLANE GEOMETRY BOOK I FIGURES FORMED BY... | |
 | Andrew Wheeler Phillips, Irving Fisher - 1896 - 276 sider
...wholes will be unequal in the same order. (10.) The whole is greater than any of its parts. (u.) The whole is equal to the sum of all its parts. (12.)...PLANE GEOMETRY BOOK I FIGURES FORMED BY STRAIGHT LINES 14. Defs. — An angle is a figure formed by two straight lines diverging from the same point. This... | |
 | Andrew Wheeler Phillips, Irving Fisher - 1896 - 574 sider
...geometric truth to another the following general axioms are also employed, viz. : (1.) Things equal to the same thing are equal to each other. (2.) If equals...PLANE GEOMETRY BOOK I FIGURES FORMED BY STRAIGHT LINES 14. Defs. — An angle is a figure formed by two straight lines diverging from the same point. This... | |
 | Henry W. Keigwin - 1897 - 254 sider
...than the second. (8) Of three quantities, if the first is greater than the second and the second is greater than the third, then the first is greater than the third. 43. A theorem consists of two parts, the hypothesis and the conclusion. The hypothesis contains the... | |
 | John Alton Avery - 1903 - 136 sider
...sense. 7. The whole is greater than any of its parts. 8. The whole equals the sum of its parts. 9. 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. 10. If the greater of two magnitudes... | |
 | Fletcher Durell - 1904 - 382 sider
...either opposite int. Z ). Much more, then, is /.BAC (which is greater than Zs) greater than ZC, Ax. 12. (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). QED 105. NOTE. The essential... | |
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