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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.
A Text-book of Geometry - Page 128
by George Albert Wentworth - 1888 - 386 pages

## Plane and Solid Geometry

Seth Thayer Stewart - Geometry, Modern - 1891 - 422 pages
...in proportion, they are in proportion by division. SECTION II.— EQUAL PRODUCTS. 297. PROP. VI. If the product of two quantities is equal to the product of two other quantities, the two quantities that form either product may be made the extremes, and the other...

## The Elements of Algebra

George W. Lilley - Algebra - 1892 - 420 pages
...(l С Divide by bd, 6 = 5 ' By definition, a : b :: с : d. Hence, II. If the product of two numbers is equal to the product of two others, either two may be made the extremes of a proportion and tJie other two the means. A Mean Proportional is a number used for both means of a proportion ;...

## Elementary Geometry

William Chauvenet - 1893 - 340 pages
...numbers is equal to the square root of their product. 6. Conversely, if the product of two numbers is equal to the product of two others, either two may be made the extremes, and the other two the means, of a proportion. For, if we have given ab' = a'b, then, dividing by bb',...

## Higher Algebra

George P. Lilley - Algebra - 1894 - 522 pages
...Divide by Id, т = ~¡ • By definition, a : Ь ;: с : d. Hence, II. If the product of two numbers is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means. A Mean Proportional is a number used for both means of a proportion ;...

## Elements of Geometry: Plane and Solid

John Macnie - Geometry - 1895 - 390 pages
...show that ZAOC: Z ABC = 7:2. PROPOSITION III. THEOREM. 240. Conversely, if the product of two numbers is equal to the product of two others, either two may be made the extremes of a proportion, and the other two its means. Given: ad = bc; To Prove : a:b = c:d. Since ad = bc, (Hyp.) ... dividing...

## Syllabus of Geometry

George Albert Wentworth - Mathematics - 1896 - 68 pages
...296. A mean proportional between two quantities is equal to the square root of their product. 297. If the product of two quantities is equal to the product...proportion in which the other two are made the means. 298. If four quantities of the same kind are in proportion, they will be in proportion by alternation;...

## Plane Geometry

George D. Pettee - Geometry, Modern - 1896 - 272 pages
...equations, such as squaring the equation, are applicable to proportions. PROPOSITION II 188. Theorem. //' the product of two quantities is equal to the product of two others, the factors of either product may be made the extremes, and the factors of the other product the means...

## Shorter Course in Algebra

George Albert Wentworth - Algebra - 1896 - 302 pages
...a:b::c:d, Î-Î By multiplying by bd, ad = be. 287. If the product of two numbers be equal to the prorfwt of two others, either two may be made the extremes of a proportion, and the other two the means. For, if ad = be, by dividing by bd, ^=*£, bd bd И 288, The equation...