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" In every proportion the product of the means equals the product of the extremes. "
The Crittendon Commercial Arithmetic and Business Manual: Designed for the ... - Σελίδα 45
των John Groesbeck - 1871 - 344 σελίδες
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High School Algebra: Complete Course

Herbert Ellsworth Slaught, Nels Johann Lennes - 1908 - 520 σελίδες
...members of the equation bd be multiplied by bd, we have, ad = be. That is : If four numbers are in proportion, the product of the means equals the product of the extremes. 2. Show that if - = - , then - = -. bd а с Hint. Divide 1 = 1 by the members of the given equation....

Practical Arithmetic: Book I -- [book II], Τόμος 2

Lorenzo Dow Harvey - 1909 - 412 σελίδες
...is a mean proportional to the other two. In 4 : 8 : : 8 : 16, 8 is a mean proportional to 4 and 16. In every proportion, the product of the means equals the product of the extremes. This is the principle upon which the solution of problems in proportion depends. If three terms of...

Practical Arithmetic: Book I -- [book II], Τόμος 2

Lorenzo Dow Harvey - 1909 - 412 σελίδες
...proportional to the other two. In 4 : 8 : : 8 : 16, 8 is a mean proportional to 4 and 16. In evert/ proportion, the product of the means equals the product of the extremes. This is the principle upon which the solution of problems in proportion depends. If three terms of...

First-year Mathematics for Secondary Schools

George William Myers - 1909 - 390 σελίδες
...the product of the first and fourth number is equal to the product of the second and third ? 97. In a proportion, the product of the means equals the product of the extremes. This is a convenient test of proportionality, 1. By this test tell what expressions in problem 2, §96,...

New Graded Lessons in Arithmetic, Βιβλίο 8

Wilbur Fisk Nichols - 1910 - 236 σελίδες
...proportion. Multiply the extremes together. Multiply the means together. Compare the two products. Learn: In every proportion the product of the means equals the product of the extremes. 6. Either extreme equals the product of the means divided by the other extreme, as, 6 : 2=9 : x. 6x...

A Text-book on Advanced Algebra and Trigonometry, with Tables

William Charles Brenke - 1910 - 374 σελίδες
...± Vac. Also, с is called the о с third proportional to a and b. 116. Laws of Proportion. 1. In a proportion, the product of the means equals the product of the extremes. 2. If two products, each containing two factors, are equal, either pair of factors may be taken as...

The Gilbert Arithmetics, Βιβλίο 2,Μέρη 1-2

Charles H. Gleason - 1910 - 536 σελίδες
...6, multiply the two extremes together. Multiply the two means together. What do you observe ? In a proportion the product of the means equals the product of the extremes. ORAL EXERCISES 171. Prove the following proportions, by comparing the products of extremes and means...

Intermediate and advanced

John Charles Stone, James Franklin Millis - 1910 - 440 σελίδες
...the above exercises, see whether the product of the means equals the product of the extremes. In any proportion the product of the means equals the product of the extremes. 3. x : 6 = 9 : 12. Find the value of x. Find the missing term: 4. x 5 = 12 : 4. 10. x : 5 = 80 : 10....

A Second Course in Elementary Algebra

Jacob William Albert Young, Lambert Lincoln Jackson - 1910 - 238 σελίδες
...formula of Exercise 27 find P, if W= 1000 Ib., R = 21 in., I = 15 in., r = 11 in., d = § in. 179. In any proportion the product of the means equals the product of the extremes. For, " = ~, and multiplying both members by bd, ad = be. bd 180. Conversely, If the product of two...

Advanced Arithmetic

Charles W. Morey - 1911 - 454 σελίδες
...The first and the last terms of a proportion are the extremes, and the two middle terms the means. In every proportion the product of the means equals the product of the extremes. Thus, in the proportion 8:4=6:3, the product of the means (4 x 6), 24, equals the product of the extremes...




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