 | 1867 - 964 σελίδες
...frictions to a common denominator 12 x 4, we get — 13 x 3 _ 4x9 48 ~ 48 , or 12 X 3 = 4 x 9. Sow, 12 and 3 are the extremes, and 4 and 9 are the means, oí tie given proportion. Conversely, if the product of two numbers is equal to the product of any... | |
 | Robert Simson (master of Colebrooke house acad, Islington.) - 1838 - 206 σελίδες
...proportion 8 : 2 : : 16 : 4, the product of 8X4 is equal to the product of 2X16. When the product of any two numbers is equal to the product of any other two numbers, are these four numbers always proportional ? They are proportional in what order soever you take them.... | |
 | Nicholas Tillinghast - 1844 - 108 σελίδες
...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 of two other numbers, the four may be arranged in a proportion; as, 8.3=12.2, hence 8: 12: : 2 : 3. Scholium.... | |
 | Bourdon (M., Louis Pierre Marie) - 1858 - 262 σελίδες
...multiplication, they must have been equal at first. Hence the property is proved. 161. Reciprocally. — If the product of two numbers is equal to the product of two other numbers, these four numbers form a proportion of which either pair of factors will constitute... | |
 | Robert Johnston (F.R.G.S.) - 1860 - 188 σελίδες
...: 8 : 4 ; here, 6X4, the extremes, =8X3, the means, = 24. 156. If the product of any two numbers be equal to the product of any other two numbers, the four numbers will form a proportion, the factors of one product forming means, and those of the other forming extremes. This is another... | |
 | Robert Johnston (F.R.G.S.) - 1863 - 254 σελίδες
...3 : : 8 : 4 ; here, 6x4, the extremes, = 8x3, the means, = 24. If the product of any two numbers be equal to the product of any other two numbers, the four numbers will form a proportion, the factors of one product forming means, and those of the other forming extremes. This is another... | |
 | William Chauvenet - 1871 - 380 σελίδες
...; that is, a mean proportional between two numbers is equal to the square root of their product. 6. Conversely, if the product of two numbers is equal to the product of two others, either two may be made the extremes, and the other two the means, of a proportion. For,... | |
 | William Chauvenet - 1872 - 382 σελίδες
...; that is, a mean proportional between two numbers is equal to the square root of their product. 6. Conversely, if the product of two numbers is equal to the product of two others, either two may be made the extremes, and the other two the means, of a proportion. For,... | |
 | Popular educator - 1876 - 854 σελίδες
...these factions to a common denominator 12 x 4, we get — ÎÎJL? = ÍJL2, or 12 X 3 = 4 x 9. ííow, 12 and 3 are the extremes, and 4 and 9 are the means, of the given proportion. Conversely, if the proclnct of two numbers is equal to the product of any other two numbers, the four numbers will form... | |
 | Popular educator - 1884 - 900 σελίδες
...these fractions to a common denominator 12 x 4, we get — 1-£_!L2 = iJL£, or 12 x 3 = 4 x 9. 4H »5 Now, 12 and 3 are the extremes, and 4 and 9 are the...four numbers will form a proportion. Thus, since— 8x3-6x4 8, 4,6,3 form a proportion; or, 8 : 4 :: 6 : 3 Or we may writ« it thus, 8 : 6 :: 4 : 3; or,... | |
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If the product of two numbers is equal to the product of two other numbers, either two may be made the means, and the other two the extremes of a proportion. 
