 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...IX. When four numbers are in proportion, are they in proportion by composition and division; that is, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference ? Is this true when four like magnitudes are in proportion ? when the pairs... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...If four quantities are in proportion, they are in proportion by Composition and Division; that is, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference. Let To prove (By 204), and (by 205) hv division. a: b a + b : a - - b a + b... | |
 | 1900 - 650 pages
...= 10 when x = 3, and у = 15 when x = 4 ; find у when x = 10. 5. Prove that when four numbers are proportionals, the sum of the first and second is...their difference as the sum of the third and fourth is to their difference. 6. Solve the equation — - За: -~3 =* 10a; + 18. 7. Solve the equations... | |
 | University of Toronto - 1900 - 1164 pages
...of x. 3. (a) If four quantities are proportionals, show that the sum of the first and second of them is to their difference as the sum of the third and fourth is to their difference. (b) Given that pc is greater than, equal to, or less than qd, according as... | |
 | Albert Harry Wheeler - Algebra - 1908 - 700 pages
...terms may be combined by addition and subtraction ; that is, the sum of the first and second terms is to their difference as the sum of the third and fourth terms is to their difference. (3) may be obtained as follows : Expressing the ratios of the given proportion... | |
 | James William Nicholson - Algebra - 1909 - 332 pages
...composition and division. If four numbers are in ргороШоп, then the sum of the first and second terms is to their difference as the sum of the third and fourth terms is to their difference. HINT. By §303, By §304, ~l- = e-. (2) а±» «+_'/ Divide (1) by (2)... | |
 | Physics - 1809 - 548 pages
...— , that is, a — b : b : : c — d : d. Article VI. — When four quantities are proportional, the sum of the first and second is, to their difference,...the sum of the third and fourth to their difference ; that is, when a : b : : c : d , then will a + b : a — b : : c + d : c •— d. For, by Art. IV.,... | |
 | Education - 1869 - 450 pages
...sum at a given rate per cent, in a given time. 3. Prove that if any four quantities are in proportion the sum of the first and second is to their difference as the sum of the third and fourth is to their difference. 4. Define what is meant by " Compound Proportion." 5. Give and prove a rule... | |
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If four magnitudes are proportional, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference. 
