 | Nicolas Pike - Arithmetic - 1802 - 350 pages
...quantities proportional. • THEOREM 3 — If four quantities, 2, 6, 4, 12, are proportional, the reftangle of the means, divided by either extreme, will give the other extreme. t THEOREM 4 — The produits of the correfponding terms of two geometrical proportions are alfa proportional.... | |
 | Nicolas Pike - Arithmetic - 1807 - 370 pages
...quantities proportional. THEOREM 3. — If four quantities, 2, 6, 4, 12, are proportional, the rectangle of the means, divided by either extreme, will give the other extreme. THEOREM 4. — The products of the cerrefponding terms of two geometrical propitious are alfo proportional.... | |
 | Beriah Stevens - Arithmetic - 1822 - 436 pages
...proportional. THEOREM 3. If four quantities, a, b, c, d, (2,6,4, 12,) are proportional, the rectangle of the means, divided by either extreme, will give the other extreme'. * THEOREM. 4. The products of the corresponding terms of two geometrical proportions are also proportional.... | |
 | Arithmetic - 1829 - 196 pages
...product of the TWO EXTREMES will be EQUAL to the product of the TWO MEANS. Consequently, the product of the means divided by EITHER extreme will give the OTHER extreme. If 9 barrels of flour cost 863, how many barrels may be bought for S288 ? Here the unknown quantity... | |
 | John Playfair - Geometry - 1836 - 148 pages
...and therefore A : B : : C : D. 'PROP. III. THEOR. If four quantities are proportional, the product of the means divided by either extreme, will give the other extreme. Let A : B :: C : D, -;-=D. A BO Because A : B : : C : D, AD=BC ; divide by A, and D=-—. PROP. IV.... | |
 | Charles Waterhouse - Arithmetic - 1842 - 178 pages
...two, then are those quantities proportional. 3. If four quantities are proportional, the rectangle of the means, divided by either extreme, will give the other extreme. 4. The products of the corresponding terms in continual proportions, are also proportional, 5. If three... | |
 | Charles WATERHOUSE - Arithmetic - 1844 - 228 pages
...two, then are those four quantities proportional. 3. If four quantities are proportional, the product of the means, divided by either extreme, will give the other extreme. 4. The product of the corresponding terms in continual proportions, are also proportional. 5. If three... | |
 | James Stewart Eaton - Arithmetic - 1857 - 376 pages
...; for the product of the extremes divided by either mean will give the other mean, and the product of the means divided by either extreme will give the other extreme. 257, When three numbers are in proportion, as, eg, 4 : 6 : : 6 : 9, the 2d is called a mean proportional... | |
 | James Stewart Eaton - 1862 - 320 pages
...; for the product of the extremes divided by either mean will give the other mean, and the product of the means divided by either extreme will give the other extreme. Fill the blank in each of the following proportions: io . n . o A . " X " _. m 321. What is Proportion?... | |
 | James Stewart Eaton - Arithmetic - 1864 - 322 pages
...; for the product of the extremes divided by either mean will give the other mean, and the product of the means divided by either extreme will give the other extreme. Fill the blank in each of the following proportions : 331. What Is Proportion? 333. How indicated?... | |
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... the product of the extremes divided by either mean will give the other mean, and the product of the means divided by either extreme will give the other extreme. 
