 The first consequent plus or minus its antecedent taken a given number of times, is to the second consequent plus or minus its antecedent taken the same number of times, as the first term is to the third, or as the second is to the fourth. 164. The expression...  Elements of Algebra - Page 155by Silvestre François Lacroix - 1818 - 276 pagesFull view - About this book
 | Adrien Marie Legendre - Geometry - 1819 - 574 pages
...last, and the difference of the two first terms is to the difference of the two last, as the first is to the third, or as the second is to the fourth. Moreover the two ratios A : C, B : D, being common to the two proportions above obtained, it follows... | |
 | Adrien Marie Legendre - 1825 - 570 pages
...following proportion, 6±ma:rf±mc::a:c; and as - = r, we have likewise ab or b ± ma : d ± me :: b : d. These two proportions may be enunciated thus...them together, and also the differences, we obtain d-\-mc _ cd — me _ c b -\-ma a' b — ma a' whence we conclude d -\-mc _ d — me 6 -\-ma b — ma'... | |
 | Adrien Marie Legendre - Geometry - 1825 - 276 pages
...last, and the difference of the two first terms is to the difference of the two last, as the first is to the third, or as the second is to the fourth. Moreover the two ratios A : C, B : D, being common to the two proportions above obtained, it follows... | |
 | Timothy Walker - Geometry - 1829 - 156 pages
...that of the two last, and the difference of the two first is to that of the two last, as the first is to the third, or as the second is to the fourth. Thus from the proportion 2 : 4 : : 6 : 12 we have 2+4 : 6+12 : : 2 : 6 and 4 — 2 : 12—6 : : 4 :... | |
 | William Smyth - Algebra - 1830 - 278 pages
...: c but since -= „-, we have also ao d 6 6 ±ma from which we have the proportion 6±mo:d±inc::& :d These two proportions may be enunciated thus ;...is to the third, or as the second is to the fourth. 179. The expression rLf =1 returns to 6 ± ma .a df-mc cd — me e b -\-rna o, b — ma a whence d... | |
 | William Smyth - Algebra - 1833 - 288 pages
...antecedent taken a given number oj times, is to the second consequent plus or minus its antecedent taken tht same number of times, as the first term is to the third, or at the second is to the fourth. d -tmcc 165. The expression -r-1-, = - returns to 1 o ± maa d-\-mccd... | |
 | William Smyth - Algebra - 1836 - 288 pages
...enunciated thus ; The first consequent plus or minus its antecedent taken a given number of limes, is to the second consequent plus or minus its antecedent...is to the third, or as the second is to the fourth. 165. The expression •= - = - returns to 6 ±»iaa ccd — me c b-\-ma ab — ma a d + mc d — me... | |
 | Benjamin Peirce - Algebra - 1837 - 302 pages
...of the last two, as the difference of the first two terms is to the difference of the last two, or as the first term is to the third, or as the second is to the fourth. Likewise, the sum of the first two terms is to their difference, as the sum of the last two is to their... | |
 | Benjamin Peirce - Algebra - 1837 - 300 pages
...of the last two, as the difference of the first two terms is to the difference of the last two, or as the first term is to the third, or as the second is to the fourth. Likewise, the sum of the first two terms is to their difference, as the sum of the last two is to their... | |
 | Benjamin Peirce - Geometry - 1837 - 216 pages
...of the last two, as the difference of the first two terms is to the difference of the last two, and as the first term is to the third, or as the second is to the fourth. Likewise, the sum of the first two terms is to their difference, as the sum of the last two is to their... | |
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