ÁíáæÞôçóç Åéêüíåò ×Üñôåò Play YouTube ÅéäÞóåéò Gmail Drive Ðåñéóóüôåñá »
Åßóïäïò
 Âéâëßá Âéâëßá
If the product of two quantities is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means. For, if ad = bc, then, divide by bd. т~, - г~;« bd bd а с 01 6 = 5
New School Algebra - Óåëßäá 310
ôùí G.A. Wentworth - 1901
ÐëÞñçò ðñïâïëÞ - Ó÷åôéêÜ ìå áõôü ôï âéâëßï

## Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1872 - 455 óåëßäåò
...this case, the square of the mean w equal to the product of the extremes. PROPOSITION II. THEOREM. If the product of two quantities is equal to the product of two other quantit1es, two nf them may be made the means, and the other two the extremes of a proportion....

## Elementary Algegra

Daniel Barnard Hagar - 1873 - 263 óåëßäåò
...Theorem II. 332. If the product of two quantities be equal to the product of two other quantities, either two may be made the extremes of a proportion, and the other two the means. Let ad = bc; Dividing by bd, — = — ; bd Theorem III. 333. In a proportion, either extreme is equal...

## A Treatise on Algebra

Elias Loomis - 1873 - 360 óåëßäåò
...c : d. Then | = |,Art.292. Multiplying each of these equals by bd, we have ad=bc. 300. Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion....

## Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

Adrien Marie Legendre - 1874 - 455 óåëßäåò
...this case, the square of the mean is equal to the product of the extremes. PROPOSITION n. THEOREM. If the product of two quantities is equal to the product of two other quantities, two of them may be made the means, and the other two the extremes of a proportion....

## Manual of Algebra

William Guy Peck - 1875 - 331 óåëßäåò
...extremes. Conversely, if we divide both members of (2) by ca, we have, - = -; or, a : b :: c : d; hence, ac If the product of two quantities is equal to the product of two other quantities, the first two may be made the means, and the second two the extremes, of a proportion....

## Manual of Geometry and Conic Sections: With Applications to Trigonometry and ...

William Guy Peck - 1876 - 366 óåëßäåò
...we then have the square of the mean equal to the product of the extremes. PROPOSITION III. THEOREM. If the product of two quantities is equal to the product of two other quantities, the first two may be made the means and the other two the extremes of a proportion....

## Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 398 óåëßäåò
...extracting the square root, b = \ac7 QED PROPOSITION III. 261. If ihe product of two quantities be equal to the product of two others, either two may be made the extremes of a proportion in which the other two are made the means. Let ad = be. We are to prove a : b : : с : d. Divide both...

## Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 398 óåëßäåò
...means). Whence, extracting the square root, PROPOSITION III. 261. lf the product of two quantities be equal to the product of two others, either two may be made the extremes nf a proportion in which the other two are made the means. Let ad = be. We are to prove a : b : : с...