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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 - Σελίδα 310
των G.A. Wentworth - 1901
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## The Essentials of Geometry (plane)

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## Plane and Solid Geometry

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## Plane and Solid Geometry

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...proportion the product of whose extremes or means is 60 ; 72; 84; 80; 64; 144; x2y3, xyz; xyzv. Theorem. If the product of two quantities is equal to the product...either two may be made the extremes of a proportion of which the other two are the means. Data : ad = bc. To prove a : 6 = c : d. Proof. Data, ad = bc....

## Plane and Solid Geometry

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...proportion the product of whose extremes or means is 60 ; 72; 84; 80; 64; 144; x2y2, xyz; xyzc. Theorem. 1f the product, of two quantities is equal to the product...either two may be made the extremes of a proportion of which tlie other two are the means. Data : ad = be. To prove a:b = c:d. Proof. Data, ad = be. Dividing...

## Plane and Solid Geometry

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## Plane Geometry

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...Then b2 = ae. § 327 Whence, extracting the square root, b = Vac. QED PROPOSITION III. THEOREM. 329. If the product of two quantities is equal to the product...two others, either two may be made the extremes of the proportion in which the other two are made the means. Let ad=bc. To prove that a:b = c:d. Divide...

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## College Algebra

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