Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" 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
Full view - About this book

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...
Full view - About this book

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 ;...
Full view - About this book

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',...
Full view - About this book

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 ;...
Full view - About this book

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...
Full view - About this book

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;...
Full view - About this book

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...
Full view - About this book

Shorter Course in Algebra

George Albert Wentworth - Algebra - 1896 - 302 pages
...a:b::c:d, - 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...
Full view - About this book

Essentials of Algebra for Secondary Schools

Webster Wells - Algebra - 1897 - 422 pages
...mean is equal to the product of the extremes divided by the other mean. 309. (Converse of 306.) If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Let ad = bс. Dividing...
Full view - About this book

Essentials of Algebra: For Secondary Schools

Webster Wells - Algebra - 1897 - 426 pages
...mean is equal to the product of the extremes divided by the other mean. 309. (Converse of 306.) If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Let ad = bc. Whence...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF