 | George Anthony Hill - 1888 - 200 páginas
...= b : h. 5. Transform the six proportions obtained in No. 4 into Aquations by placing in each case the product of the means equal to the product of the extremes. 6. Define a mean proportional (p. 128, No. 1). The proportion c : « = a : e gives the equation a2... | |
 | George Anthony Hill - 1888 - 202 páginas
...— b:h. 5. Transform the six proportions obtained in No. 4 into equations by placing in each case the product of the means equal to the product of the extremes. 6. Define a mean proportional (p. 128, No. 1). The proportion c : a = a : e gives the equation a2 =... | |
 | William Frothingham Bradbury, Grenville C. Emery - 1889 - 428 páginas
...the fourth may be found. Thus, if a, c, d are given, then A proportion is an equation ; and making the product of the means equal to the product of the extremes is merely clearing the equation of fractions. 171. QUESTIONS LEADING UP то PROBLEMS. 1. Form a proportion... | |
 | Webster Wells - 1894 - 398 páginas
...by m, and AC by x, the proportion (3) of the preceding article becomes m : x = x : m — x. Placing the product of the means equal to the product of the extremes, we have x 2 = TO 2 - mx, (§ 231.) or, x 3 + mx = m 2 . Solving this quadratic equation, we obtain... | |
 | Fletcher Durell, Edward Rutledge Robbins - 1897 - 482 páginas
...1. Find the value of x which satisfies the proportion, 4x - 1 : x + 1 =• 3z + 1 : 2z - 1. Taking the product of the means equal to the product of the extremes, (4x- 1) (2z- 1) = (x + 1) (8* + 1) .-. 5z2-10z = 0 292. II. Before converting a proportion into an... | |
 | International Correspondence Schools - 1899 - 650 páginas
...proportion is very important, since it is the foundation of all calculations in percentage. 1 7. Placing the product of the means equal to the product of the extremes, percentage = base X rate. Each extreme is equal to the product of the means divided by the other extreme.... | |
 | George Edward Atwood - 1900 - 276 páginas
...page 116. 229. If the statement of a problem gives a proportion, an equation may be formed by placing the product of the means equal to the product of the extremes. When a problem states that two quantities are to each other as two numbers, as 3 to 5, for example,... | |
 | Charles Austin Hobbs - 1905 - 158 páginas
...product of the extremes equals the product of the means. I. Solve the proportion 12 : 15 = x : 35. Making the product of the means equal to the product of the extremes, 15 x =420. a; =28. The numerical part of this example may be simplified by cancellation. 15x = 12 X35.... | |
 | Joseph Claudel - 1906 - 758 páginas
...y, the above proportion may be written. or, noting that 3'jB or - = 6 — y b gives m = by' Putting the product of the means equal to the product of the extremes (729), Jij5. »<„_,,, or ah* — ay1 = ab* — Vx, and y1 = — x, • j which is the equation of... | |
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But it is commonly necessary that this first proportion should pass through a number of transformations before it brings out distinctly the unknown quantity, or the proposition which we wish to demonstrate. It may undergo any change which will not affect... 
