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" The equation ad = be gives a — -£, b = — ; so that an d с extreme may be found by dividing the product of the means by the other extreme ; and a mean may be found by dividing the product of the extremes by the other mean. "
A College Algebra - Page 155
by George Albert Wentworth - 1888 - 494 pages
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Shorter Course in Algebra

George Albert Wentworth - Algebra - 1886 - 284 pages
...dividing by bd, ^- = —, bd bd M 288. The equation ad = bc gives bс , ad a = -j ; ° — — ; ac so that an extreme may be found by dividing the product...dividing the product of the extremes by the other mean. 289. If four quantities, a, b, c, d, be in proportion, they will be in proportion by : I. Inversion....
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A Higher Algebra

George Albert Wentworth - Algebra - 1891 - 544 pages
...— bd Multiplying by bd, ad = be. The equation ad = be gives a — -£, b = — ; so that an d с extreme may be found by dividing the product of the...the fourth term can have one, and but one, value. 280. If the product of two numbers is equal to the product of two others, either two may be made the...
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A School Algebra

George Albert Wentworth - Algebra - 1891 - 380 pages
...a:b — c:d, bd Multiplying by bd, ad = bc. The equation ad=bc gives a = ~, b = — ; so that an d с extreme may be found by dividing the product of the...the fourth term can have one, and but one, value. 315. If the product of two numbers is equal to the product of two others, either two may be made the...
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A Higher Algebra

George Albert Wentworth - Algebra - 1891 - 550 pages
...gives a = — , b = — ¡ so that an do extreme may be found by dividing the product of the means bу the other extreme ; and a mean may be found by dividing...the fourth term can have one, and but one, value. 280. If the product of two numbers is equal to the product of two others, either two may be made the...
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Elements of Algebra

George Albert Wentworth - Algebra - 1891 - 536 pages
...bd oa а с г г . . a: b :: с: d. 343. The equation ad = be gives be , ad a = -r', o = — ; а с so that an extreme may be found by dividing the...the product of the extremes by the other mean. If four quantities, a, b, c, d, be in proportion, they will be in proportion by : I. Inversion. That is,...
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A School Algebra: Designed for Use in High Schools and Academies

Emerson Elbridge White - Algebra - 1896 - 418 pages
...of a proportion may be found by dividing the product of the means by the other extreme ; and either mean may be found by dividing the product of the extremes by the other mean. Find the value of x in the following proportions : I.' 5:8:: 15:». 5. x : 10 + x : : 6 : 9. 2. ж:5::6:10....
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A School Algebra

George Albert Wentworth - Algebra - 1897 - 382 pages
...if a:b = c:d, then 5 = 4 0 a Multiplying by bd, ad=bc. The equation ad=bc gives a = ~=-, b = — ; so that an extreme may be found by dividing the product...given, it appears from the above that the fourth term has one value, and but one value. 315. If the product of two numbers is equal to the product of two...
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A School Algebra

George Albert Wentworth - Algebra - 1897 - 376 pages
...= с : d, H Multiplying by bd, ad= be. The equation ad=bc gives а = -7, 6 = — ; so that an a с extreme may be found by dividing the product of the...given, it appears from the above that the fourth term has one value, and but one value. 315. If the product of two numbers is equal to the product of two...
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New School Algebra

George Albert Wentworth - Algebra - 1898 - 428 pages
...г = 3 ' od Multiply by bd, ad = be. The equation ad = be gives a — — ib = — ; so that an ac extreme may be found by dividing the product of the...dividing the product of the extremes by the other mean. NOTE. By the product of two quantities we mean the product of the two numbers that represent them when...
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New School Algebra

G. A. Wentworth - 1898 - 422 pages
...d, n, 5 = |Multiply by bd, ad = be. The equation ad = bc gives a = — , b = — ; so that an Cf С extreme may be found by dividing the product of the...dividing the product of the extremes by the other mean. NOTE. By the product of two quantities we mean the product of the two numbers that represent them when...
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