 | Joseph Ray - 1857 - 348 σελίδες
...into direct and invent; a dietinction of no utility, and always embarrassing to the learner. ART. 202. Since the product of the means equals the product of the extremes, and the product of two factors divided by either of them, gives the other, Art. 37, Therefore, If the... | |
 | Emerson Elbridge White - 1861 - 348 σελίδες
...have 8x6=12x4. But 8 and 6 are the means of the above proportion, and 12 and 4 its extremes. Hence, In every proportion, the product of the means equals the product of the extremes. Therefore, 1. If the product of the two means of a proportion be divided by either extreme, the quotient... | |
 | Edward Brooks - 1863 - 344 σελίδες
...ratios. A Compound Proportion is the comparison of compound ratios. PRINCIPLES OF PROPORTION. PROP. I. — In every proportion the product of the means equals the product of the extremes. DEM. — In the proportion 2 : 6 : : 4 : 12 we have J = T\ ; now if we multiply both these equals by... | |
 | George Augustus Walton, Mrs. Electra Nobles Lincoln Walton - 1865 - 354 σελίδες
...performance of arithmetical examples by proportion depends upon the following important principle : — In every proportion the product of the means equals the product of the extremes. ILLUSTRATION. Writing the given proportion in a fraco . o . . A . Q tional form, we have j- = •£.... | |
 | John Groesbeck - 1868 - 358 σελίδες
...10 to 20. The first and fourth terms are called the extremes; the second and third, the means. 85. In every proportion the product of the means equals the product of the extremes. SIMPLE PROPORTION, OR, RULE OF THREE. 86. A Simple Proportion is expressed by an equality of two ratios,... | |
 | John Groesbeck - 1868 - 350 σελίδες
...10 to 20. The first and fourth terms are called the extremes; the second and third, the means. 85. In every proportion the product of the means equals the product of the extremes. SIMPLE PROPORTION, OR, RULE OF THREE. 86. A Simple Proportion is expressed by an equality of two ratios,... | |
 | Joseph Ray - 1857 - 358 σελίδες
...direct and in/verte; a distinction of no utility, and always embarrassing to the learner. ART. 202. Since the product of the means equals the product of the extremes, and the product of two factors divided by cither of them, gives the other, Art. 37, Therefore, IfiJie... | |
 | George Augustus Walton, Electa Nobles Lincoln Walton - 1869 - 350 σελίδες
...NOTE TO THE TEACHER. — The principle given in Deduction 1 is sometimes enunciated thus : " In any proportion the product of the means equals the product of the extremes," which is not true when the terms are denominate numbers ; thus in the proportion 4 pk. : 5 pk. = $... | |
 | John Groesbeck - 1871 - 370 σελίδες
...10 to 20. The first and fourth terms are called the extremes; the second and third, the means. 85. In every proportion the product of the means equals the product of the extremes. From this principle, having three terms of a proportion, we are enabled to find the fourth. SIMPLE... | |
 | George Augustus Walton, Electa N. L. Walton - 1871 - 348 σελίδες
...NOTE TO THE TEACHER. — The principle given in Deduction 1 is some, times enunciated thus : " In any proportion the product of the means equals the product of the extremes," which is not true when tire terms are denominate numbers ; thus in the proportion 4 pk. : 5 pk. = $... | |
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In any proportion, the product of the means equals the product of the extremes. 
