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Βιβλία Βιβλία 61 - 70 από 177 για In any proportion, 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. "
The New Normal Written Arithmetic: Designed for Common Schools, Normal ... - Σελίδα 293
των Edward Brooks - 1877 - 421 σελίδες
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A Text-book on Advanced Algebra and Trigonometry, with Tables

William Charles Brenke - 1910 - 343 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...

Advanced Arithmetic

Charles William Morey - 1911 - 428 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...

Second Course in Algebra

Herbert Edwin Hawkes - 1911
...Then in the proportion - = - both members may be multiplied by bd, giving ad = be. Therefore, In any proportion the product of the means equals the product of the extremes. If ps = qr is divided by qs, we obtain Also ps = qr divided by rs gives f_I. (2) rs And qr = ps divided...

Myers Arithmetic for Grammar Schools

George William Myers - 1912 - 402 σελίδες
...in all parts of problem 3, §150, that make proportions. What seems to be true of the products? In a proportion, the product of the means equals the product of the extremes. 6. Tell which of the following are proportions, by comparing the products of the means and the extremes:...

Elementary Algebra

John William Hopkins, Patrick Healy Underwood - 1912 - 341 σελίδες
...articles, the fewer the number of articles that can be bought for the given sum of money. 110. In a proportion the product of the means equals the product of the extremes. This may be shown as follows : Let the proportion be a : b = с : d, I-? Multiply Ъу bd, ad = be....

First Principles of Algebra: Elementary Course, Τόμος 1

Herbert Ellsworth Slaught, Nels Johann Lennes - 1912 - 280 σελίδες
...both members of the equation ba be multiplied by bd, we have ad = bc. 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 a. c Hint. Divide 1 = 1 by the members of the given equation....

Constructive Text-book of Practical Mathematics, Τόμος 2

Horace Wilmer Marsh, Annie Griswold Fordyce Marsh - 1913
...= 24.3i 8.2 ^ R ' or the factors are 8.2 and 24.3 and the divisor is 12.5, since in every numerical proportion the product of the means equals the product of the extremes. 315. What to do when a Number is " Off the Rule." If an attempt is made to determine R by the preceding...

Elementary Algebra Revised

Frederick Howland Somerville - 1913 - 447 σελίδες
...solution of problems involving certain relations, we may note briefly the following : (1) Since, in any proportion, the product of the means equals the product of the extremes (Art. 371), we may readily find any one term of a proportion when three terms are known. 380. Givena:b...

A First Course in Algebra

Frederick Charles Kent - 1913 - 249 σελίδες
...Fundamental Property of a Proportion. If a : b = с : d, then XXVI ad = be. This means that in any proportion the product of the means equals the product of the extremes. 152. Standard Transformations in a Proportion. If а с а с a : b = с : d. then — - = — ; and...

A High School Algebra, Μέρος 1

Jacob William Albert Young - 1913
...numbers, 5, 29, 10, 44, to make the results proportional ? 261. Relation of Means to Extremes. In any proportion the product of the means equals the product of the extremes, For, - = -, and multiplying both members by bd, ad = be. о а 262. Conversely, If the product of two...




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