| 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 - 652 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 - 1160 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 - 698 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 - 550 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 - 464 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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