...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...

...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'...

...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...

...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 :...

...: 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...

...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...

...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...

...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...

...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...

...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...