 | Euclides - 1845 - 546 pages
...is .tfX to PL, and PL to KO : but if four magnitudes be continual proportionals, the first is said to have to the fourth, the triplicate ratio of that which it has to the second; (v. def. 11.) therefore the solid AB has to the solid KO, the triplicate ratio of that which... | |
 | Euclid - Geometry - 1845 - 218 pages
...which it has to the second. XI. When four magnitudes are continual proportionals, the first is said to have to the fourth the triplicate ratio of that which it has to the second, and so on, quadruplicate, &c., increasing the denomination still by unity, in any number of... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...so is EX to PL, and PL to KO. But if four magnitudes be continual proportionals, the first is said to have to the fourth the triplicate ratio of that which it has to the second : therefore the solid AB has to KO the triplicate ratio of that which AB has to EX. But as AB... | |
 | Euclides - 1846 - 292 pages
...which it has to the second. xi. When four magnitudes are continued proportionals, the first is said to have to the fourth the triplicate ratio of that which it has to the second, and so 011, quadruplicate, &c., increasing the denomination still by unity, in any number of... | |
 | Elias Loomis - Algebra - 1846 - 376 pages
...Art. 213, a : с : : a2 : Ъ\ (226.) If four quantities are in continued proportion, the first will have to the fourth the triplicate ratio of that which it has to the second. Let a, b, c, d be four quantities in continued proportion, so that a : b : : b : с : : с... | |
 | Charles William Hackley - Algebra - 1846 - 542 pages
...equals by r > then aabaa 3 a t XVIII. If four quantities be in continued proportion, the first will have to the fourth the triplicate ratio of that which it has to the second. Let a, b, c, d be four quantities in continued proportion, so that a:b::b:c::c:d ; then, also,... | |
 | Elias Loomis - Algebra - 1846 - 380 pages
...Art. 213, a : c : : a? : b'. (226.) If four quantities are in continued proportion, the first will have to the fourth the triplicate ratio of that which it has to the second. Let o, b, c, d be four quantities in continued proportion, so that o : b : : b : c : : c :... | |
 | Euclides - 1848 - 52 pages
...which it has to the second. XL When four magnitudes are continual proportionals, the first is said to have to the fourth, the triplicate ratio of that which it has to the second, and so on, quadruplicate, &c. increasing the denomination still by unity, in any number of... | |
 | John Bonnycastle - 1848 - 334 pages
...the duplicate ratio of a : b. PEOP. V. If four quantities be continued proportionals, thefirst has to the fourth the triplicate ratio of that which it has to the second. Let a : 6 : : b : с, and b:c::c:d; then a, b, c, d are continued proportionals, and since... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...which it has to the second. 11. When four magnitudes are continual proportionals, the first is said to have to the fourth the triplicate ratio of that which it has to the second, and so on, quadruplicate, etc., increasing the denomination still by unity, in any number of... | |
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When four magnitudes are continual proportionals, the first is said to have to the fourth the triplicate ratio of that which it has to the second, and so on, quadruplicate, &c., increasing the denomination still by unity, in any number of proportionals. 
