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 other quantities, two of them may be made the extremes, and the other two the means of a proportion. "
New Elementary Algebra Embracing the First Principles of the Science - Page 266
by Charles Davies - 1891 - 294 pages
Full view - About this book

An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1814 - 304 pages
...=-jtyeducing the fractions, ad=bc. Thus 12: 8:: IS: 10, therefore 12x10=8x15. 375. On the other hand, if the product of two quantities is equal to the product of two others, the four quantities will form a proportion, when they are so arranged, that those .on one side...
Full view - About this book

An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1827 - 352 pages
...is, in both cases the same. And if no : b'. '.x : yy then a : b'.'.x : ny. 375. On the other hand, if the product of two quantities is equal to the product of two others, the four quantities will form a proportion, when they are so arranged, that those on one side...
Full view - About this book

Elements of Algebra

Algebra - 1838 - 372 pages
...B, C, and D, are so related to each other that AxD=B*C, i „ , , BD we shall also have ~T=~r' A. O and hence, A : B : : C : D; that is, if the product...extremes, and the other two the means of a proportion. 180. If we have three proportional quantities A : B : : B : C, 1 ^ C wehave _=_; hence, &=AC; that...
Full view - About this book

Elements of Algebra

Bourdon (M., Louis Pierre Marie) - Algebra - 1839 - 368 pages
...product of the two means. 179. If four quantities, A, B, C, and D, are so related to each other that we shall also have — =— , AC/ and hence, A : B...product of two quantities is equal to the product of two otter quantities, two of them may be made the extremes, and the other two the means of a proportion....
Full view - About this book

First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1839 - 264 pages
...B, C, D, are so related to each other that AxD=BxC, ,....., BD we shall also have — =— ; A. Lx and hence, A : B~: : C : D. That is : If the product of two quantities is equal to tJte product of two other quantities, two of them may be made the extremes, and the other two the means...
Full view - About this book

First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1840 - 264 pages
...quantities, A, B, C, D, are so related to each other that ta.ll.!! BD we shall also have — =— ; AO and hence, A : B : : C : D. That is : If the product of two quantities is equal to the product of two otlier quantities, two of them may be made the extremes, and the other two the means of a proportion....
Full view - About this book

First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1841 - 264 pages
...D, are so related to each other that AxD=BxC, . . . . , BD we shall also have — =— ; -j' I ' ' and hence, A : B : : C : D. That is : If the product...extremes, and the other two the means of a proportion. ThuB, if we have 2x8=4x4, we also have 2 : 4 : : 4 : 8. 156. If we have three proportional quantities...
Full view - About this book

Elements of Algebra

Charles Davies - Algebra - 1842 - 368 pages
...quantities, A, B, C, and D, are so related to each other that we shall also have — =— ., jfi O and hence, A : B : : C : D; that is, if the product...extremes, and the other two the means of a proportion. we have -=^; , BC hence, B 2 =AC; that is, the square of the middle term is equal to the product of...
Full view - About this book

Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1842 - 284 pages
...Thus, if we have the proportion 3 : 6 : : 6 : 12, t we shall also have = 62 = 3xl2=36. QUEST. — 155. If the product of two quantities is equal to the product of two other quantities, may the four be placed in a proportion 1 How ? — 156. If three quantities are proportional, what...
Full view - About this book

An Elementary Treatise on Algebra: For the Use of Students in High Schools ...

Thomas Sherwin - Algebra - 1842 - 326 pages
...Suppose we have ad = bc. Dividing both members by 6 and d, we have r = -, or a : b = c : d. Hence, oa If the product of two quantities is equal to the product of ttca other quantities, the two factors of either product may be made the means, and the two factors...
Full view - About this book




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