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 Βιβλία Βιβλία 21 - 30 από 172 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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## The New Model Arithmetic

Henry Holmes Belfield - 1891 - 346 σελίδες
...consequent ) that exists between the other two terms taken in the same order. Find the missing terms : 520. In every proportion, the product of the means equals the product of the extremes. SOLUTION III. Since 5:8::10:16, 5X16=8X10. If the first term be missing, the proportion reads z:8::10:16;...

## Manual of Plane Geometry: On the Heuristic Plan, with Numerous Extra ...

George Irving Hopkins - 1891 - 179 σελίδες
...however, to represent the magnitudes either by angles or lines, as in 287. 291. If four quantities form a proportion, the product of the means equals the product of the extremes. 292. Remark. Our ability to demonstrate the theorems in proportion depends on our knowledge of the...

## Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - 1894 - 389 σελίδες
...of their measures. j. Compare the ratios of the measures, and apply Case L Therejore — Model. In a proportion, the product of the means equals the product of the extremes. CASE L // all the terms are numbers. А С Let — = — be a proportion in which A, B, C, and D are...

## The Normal Standard Arithmetic: By Analysis and Induction, Designed for ...

Edward Brooks - 1895 - 415 σελίδες
...fourth terms. 514. A Simple Proportion is the expression of the equality of two simple ratios. 515. The Principles of proportion are the truths relating..., and multiplying these equals by 4 and 3, we have 6x4 = 8x3; that is, the product of the two means, 8 and 3, equals the product of the two extremes,...

## The Normal Standard Arithmetic: By Analysis and Induction, Designed for ...

Edward Brooks - 1895 - 415 σελίδες
...fourth terms. 514. A Simple Proportion is the expression of the equality of two simple ratios. 515. The Principles of proportion are the truths relating...extremes. In any proportion, as 6 : 3 = 8 : 4, we have f = {, and multiplying these equals by 4 and 3, we have 6x4 = 8x3; that is, the product of the two means,...

## The Normal Standard Arithmetic: By Analysis and Induction, Designed ..., Μέρος 2

Edward Brooks - 1895 - 415 σελίδες
...fourth terms. 514. A Simple Proportion is the expression of the equality of two simple ratios. 515. The Principles of proportion are the truths relating...the product of the extremes. In any proportion, as 6:3 = 8:4, we have f = f, and multiplying these equals by 4 and 3, we have 6 x 4 = 8 x 3 ; that is,...

## Robinson's New Higher Arithmetic: For High Schools, Academies, and ...

Horatio Nelson Robinson - 1895 - 506 σελίδες
...3 : : 0 : 9, by inversion becomes 8 : 2 : : 9 : (J, and by alternation 2 : 6 : : 3 : 9. 470. Since in every proportion the product of the means equals the product of the extremes, it. follows that, any three terms of a proportion being given, the fourth may be found by the following...

## Concrete Geometry for Beginners

Adelia Roberts Hornbrook - 1895 - 201 σελίδες
...is the product of the extremes ? What is the product of the means ? How do they compare ? 44. See if the product of the means equals the product of the extremes in the proportions which you have completed above. PRINCIPLE 32. — In every proportion the product of...

## Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1895 - 320 σελίδες
...= c : d, then ad = bc. Proof. 1. From r = -f bd bd, that 2. ad = bc. Hence, If four numbers are in proportion, the product of the means equals the product of the extremes. it follows, by multiplying equals by Ax. 6 If four lines are in proportion, the rectangle lof the means...

## Algebra for Schools and Colleges

William Freeland - 1895 - 309 σελίδες
...the same as the following antecedent. PROPERTIES OF PROPORTIONS. 284. I. When four quantities are in proportion, the product of the means equals the product of the extremes. Let a, b, c, d, be in proportion. Then - = -• bd Clearing of fractions, ad = cb. From this, we have,...