| Benjamin Greenleaf - 1876 - 332 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 - 418 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 - Conic sections - 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 - 710 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 - 672 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 - 350 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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