 | London univ, exam. papers - 1878 - 164 pages
...numerical value when a=2b: — a ab a2 aW 7. Show 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. If a : b : : a : d show that 8. Find the sum of a given number... | |
 | Benjamin Greenleaf - Algebra - 1879 - 350 pages
...A's distance. How far did each travel ? 10. Prove that ''if four quantities 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." Add 3. Find a number of three digits, such that the sum... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...have AC AB : A :: CD : C. Proposition 11. Theorem. — If four quantities be 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. If A : B : : C : D, then A+B : AB : : C+D : CD. From (IV.... | |
 | Universities and colleges - 1879 - 88 pages
...sides are parallel, and the figure is a parallelogram. 2. If four quantities are proportional, the sum of the first and second is to their difference, as the sum of the third and fourth is to tlieir difference. 3. The diameter which is perpendicular to a chord bisects... | |
 | Robert Potts - Algebra - 1879 - 672 pages
...second, is to the second, as the difference of tJie third and fourth is to the fourth. (3) The sum of the first and second is to their difference, as the sum of the third and fourth is to their difference. (Eue. V. 17, 18.) (1) Since a : b : : с : d, .'. - - - ,... | |
 | Robert Potts - 1879 - 668 pages
...с — da^-b c-\-<l b " ddd ' a — Ь~ с — d' and «+i : a — b : : c-\-d : e — d or the sum of the first and second is to their difference, as the sum of tho third and fourth is to their difference. 7. Prop. If four quantities of the same kind be proportionals,... | |
 | James Bates Thomson, Elihu Thayer Quimby - Algebra - 1880 - 360 pages
...а + b: c + d = a — b :c — d; Also a + b : a — b = с + d : c — d; hence COR. 2. — The sum of the first and second is to their difference as the sum of the third and fourth is to their difference. COR. 3. — In any number of equal ratios, the sum of the... | |
 | Education, Higher - 1881 - 504 pages
...by dividing one by the other is 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... | |
 | Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...increased by increasing its terms by the 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... | |
 | Euclides - 1885 - 340 pages
...increased by increasing its terms by the 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... | |
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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. 
