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 Βιβλία Βιβλία 71 - 80 από 176 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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## Constructive text-book of practical mathematics, Τόμος 3

...is still retained in the geometries because of its application to similar triangles. 79 IV THEOREM 1 In every proportion the product of the means equals the product of the extremes. -,. ac Given r=j 6 a Prove be = ad IV THEOREM 2 A mean proportional between two quantities equals the...

## Elementary Algebra

Herbert Ellsworth Slaught, Nels Johann Lennes - 1915 - 373 σελίδες
...fractional form, - = c, we clear 6 d of fractions and obtain ad = bc. That is : If four numbers are in proportion, the product of the means equals the product of the extremes. Case II : b : a : : d : c. We are to show that if - = -, then- = - . bdac Proof. From Case I, we have...

## Elementary Algebra

Herbert Ellsworth Slaught, Nels Johann Lennes - 1915 - 373 σελίδες
...fractional form, - = c, we clear о it of fractions and obtain ad = be. That is : If four numbers are in proportion, the product of the means equals the product of the extremes. Case II : b : a:: d : c. We are to show that if - = -, then-=-. bdac Proof. From Case I, we have bc...

## Essentials of Arithmetic: Advanced Book

George Wentworth, David Eugene Smith - 1915 - 290 σελίδες
...terms are called the means. In the proportion | = ££, we see that 7 x 15 = 3 x 35. That is, in any proportion, The product of the means equals the product of the extremes. We also see that if x : 21 = 35 : 105, x 35 21 = 105' then ^ = ., 21 x 35 Therefore, in any proportion,...

## Essentials of Arithmetic, Τόμος 3

...terms are called the means. In the proportion ^ = ^-|, we see that 7 x 15 = 3 x 35. That is, in any proportion, The product of the means equals the product of the extremes. We also see that if x : 21 = 35 : 105, x 35 21 = 105' then * = 21 x 35 Therefore, in any proportion,...

## Essentials of Arithmetic: Grammar School Book

George Wentworth, David Eugene Smith - 1915 - 563 σελίδες
...terms are called the means. In the proportion | = £I, we see that 7 x 15 = 3 x 35. That is, in any proportion, The product of the means equals the product of the extremes. We also see that if x : 21 = 35 : 105, x 35 or — = - , 21 105 ., 21 x 35 then Z = Therefore, in any...

## School Algebra: First-[second], Τόμος 2

...J:x = x: 10 - x. 37. (1 - x) : (1 + x) = (2 - x) : (2 + x). 60. Properties of proportions. I. In any proportion, the -product of the means equals the product of the extremes. For, in a _ с when we multiply each member by bd, we obtain ad = be. TT T. а с , ... , ab II. If...

## Elementary Algebra

George William Myers, George Edward Atwood - 1916 - 338 σελίδες
...of Proportionality. The equation, ad = bc, furnishes the test of proportionality, which is: In any proportion the product of the means equals the product of the extremes. Exercise 126 Test whether the following expressions are proportions: I- A=tt 2. 1 = -V3- 3. f = ff...

## Complete Algebra

Herbert Ellsworth Slaught, Nels Johann Lennes - 1917 - 624 σελίδες
...fractional form, - = c, we clear ba of fractions and obtain ad = be. That is : If four numbers are in proportion, the product of the means equals the product of the extremes. Case II : • 6 : a : : d : c. We are to show that if - = -, then- = -. bdac Proof. From Case I, we...