 | Education, Higher - 1881 - 504 pages
...also rational. 13. When four quantities are proportionals, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference. 14. Find the number of 3 digits which is equal to 6 times the number formed by its first and third... | |
 | Charles Scott Venable - 1881 - 380 pages
...VIII. When four quantities are proportionals, the sum of the first and second is to their d1fference, as the sum of the third and fourth is to their difference. If a : b = c : d, then a -f- b : a — b = c + d : c — d, For (Theorem VI.) , . -_- -..„-, a —... | |
 | Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...same quantity. 3. If four magnitudes be proportionals, the gum of the first and second is to their difference as the sum of the third and fourth is to their difference (componendo et dividendo). 5. If ;two sets of four magnitudes be proportionals, and if we divide corresponding... | |
 | Euclides - 1885 - 340 pages
...same quantity. 3. If four magnitudes be proportionals, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference (componendo et dividendo). 8. If jtwo sets of four magnitudes be proportionals, and if we divide corresponding... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...are in proportion by composition and division; that is, (he sum of the first and second is to their difference as the sum of the third and fourth is to their difference. Hyp. Let a : b = c : d. To prove a-\-b: a — b = c -\- d : c — d. Pro*/. By (287), ^ = '4^; and... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...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 are unlike ? Carefully... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...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 b a — b b a + b = c:d.... | |
 | 1900 - 650 pages
...10. 5. Prove that when four numbers are proportionals, the sum of the first and second is to 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 — (6 + y)z = 24, (20 -x)... | |
 | University of Toronto - 1900 - 1164 pages
...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 pa is greater than, equal... | |
 | Education - 1869 - 450 pages
...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 for finding the Greatest... | |
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If four magnitudes 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. 
