 | Benjamin Greenleaf - 1876 - 334 pages
...b : : c : d ; then, a — b : b : : c — d THEOREM VIII. 322, If four quantities be in proportion, the sum of the first and second is to their difference as the sum of tht third and fourth is to their difference. Let a : b : : c : d; Then, a-\-b : a — 6: : c-\-d :... | |
 | Robert Potts - Arithmetic - 1876 - 402 pages
...sum or difference of the third and fourth has to the fourth. 5. 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. 6. If the corresponding terms of two proportions be multiplied together,... | |
 | Robert Potts - Arithmetic - 1876 - 392 pages
...sum or difference of the third and fourth has to the fourth. 5. 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. 6. If the corresponding terms of two proportions be multiplied together,... | |
 | 1877 - 188 pages
...6 : a + a Ь _ a* — a* b* ¡Hfl a2 — 6* a* + 6* a« — 6»' 7. Show 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. If a : L : : с : d, show that 8. Find the sum of a given number of terms of... | |
 | Elias Loomis - Geometry - 1877 - 458 pages
...Therefore, by Pr.l, A— B: A::C— D:C. PROPOSITION VIII. THEOREM. 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. Let A:B::C:D; then will A+B: A— B::C+D: C— D. ByPr.6, A+B : A::C+D:C; and... | |
 | London univ, exam. papers - 1878 - 164 pages
...expression ; and determine its 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...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 of terms of... | |
 | Public schools - 1878 - 716 pages
...value of s/97 + 56^/3— v/97 — 56^3. (•) (/>) 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." (') 6. (a) From two towns 102 miles apart, A and B set out to meet each other:... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...— , we 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. 9) From (IV. 10)... | |
 | Robert Potts - Algebra - 1879 - 668 pages
...first and 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, .'. - - - , add 1 to these equals... | |
 | Benjamin Greenleaf - Algebra - 1879 - 348 pages
...travel 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." 1. Add 3. Find a number of three digits, such thnt the sum of the digits shall... | |
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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. 
