| Pliny Earle Chase - Arithmetic - 1844 - 240 pages
...consequents may, therefore, change places in a variety of ways, the proportion always continuing so long as **the product of the means is equal to the product of the extremes.** Then, whenever one of the extremes and the two means are given, to find the other extreme, Divide the... | |
| Pliny Earle Chase - 1844
...consequents may, therefore, change places in a variety of ways, the proportion always continuing so long as **the product of the means is equal to the product of the extremes.** Then, whenever one of the extremes and the two means are given, to find the other extreme, Divide the... | |
| Nicholas Tillinghast - Geometry, Plane - 1844 - 96 pages
...products thus, (6+3+10). 4. (Explanation of Signs, 6). Prop. 1. When four numbers are in proportion, **the product of the means is equal to the product of the extremes** ; as, 6:4:: 15 : 10, hence 10.6=15.4. Prop. 2. If the product of two numbers is equal to the product... | |
| Emanuel Swedenborg - Physiology - 1845
...that the rectangle of the means is equal to the rectangle of the extremes ; or as in arithmetic, that **the product of the means is equal to the product of the extremes.** Hence, the action of the second and third being equal to the action of the first and fourth, we have... | |
| Francis Henney Smith - Arithmetic - 1845 - 282 pages
...fourth by multiplying the second and third terms together, and dividing by thefirst. For, by Art. 178, **the product of the means is equal to the product of the** first term by the fourth. The fourth term must therefore be equal to the product of the means divided... | |
| Francis Henney Smith - Arithmetic - 1845 - 276 pages
...fourth by multiplying the second and third terms together, and dividing by the first. For, by Art. 178, **the product of the means is equal to the product of the** first term by Ihe fourth. The fourth term must therefore be equal to the product of the means divided... | |
| Euclides - 1846
...dividing the antecedent by the consequent is called the ratio. If four quantities are proportional, **the product of the means is equal to the product of the extremes;** in the proportion a : 6 ; ; c : d, a and d are the extremes, b and c the means. Wherefore, in order... | |
| JAMES B. THOMSON - 1847
...the work is right. (Art. 500.) Demonstration. -If four numbers are proportional, we have seen that **the product of the means is equal to the product of the extremes** ; (Art. 498 ;) therefore the prDcliict of the second and third terms must be equal to that of the first... | |
| James Bates Thomson - Arithmetic - 1847 - 422 pages
...324 SIMPLE [SECT. XIV. fieiiviisfrat-tfin. — If four numbers are proportional, we Lave seen th:\t **the product of the means is equal to the product of the** i-xtrimcs ; (Art. 4!)S:) therefore the pr id let of tile acca ul and t.hv'd terms must be equal to... | |
| Almon Ticknor - Arithmetic - 1848 - 96 pages
...means, and the first and fourth terms the extremes : 2 : (4 : : 8) : 16 _4X _2X 32 32 Here we see that **the product of the means is equal to the product of the extremes.** If 2 pounds of tea cost 4 dollars, •what will 8 pounds cost 1 6. Here the price of the tea is 2 dollars... | |
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