 | William Nicholson - Natural history - 1809 - 684 pages
..." ;= '; ff because r and -^ , represent the multiple, part, or parts, that a is of b, and c ofd. If the terms of a ratio be multiplied or divided by the same quantity, the ratio is . „ a ma not altered. For T = — T. o mo That ratio is greater than another, whose antecedent... | |
 | William Nicholson - 1809 - 716 pages
...= -., because-.- and -j, represent the multiple, part, or parts, that a is of ¿>, and с of d. If the terms of a ratio be multiplied or divided by the same quantity, the ratio is e >" я not altered. For - = — -. 6 mb That ratio is greater than another, whoic antecedent... | |
 | James Wood - Algebra - 1815 - 338 pages
...because r and -,, represent the multiple, part, or parts, that a is of b, and c of d. (159.) COR. 2. If the terms of a ratio be multiplied, or divided by the same quantity, the ratio is not altered. „ a ma . . For I = Inl <ArL 89>' (160.) COR. I less than =r (Art. 160) ; ie... | |
 | Bewick Bridge - Algebra - 1818 - 254 pages
.../. the ratio oî ma : ml is the same ml v with the ratio of a : b ; from which we infer, that " if the terms " of a ratio be multiplied or divided by the same quantity, it " does not alter the value of the ratio." From hence also it appears, that a ratio is reduced to... | |
 | William Nicholson - Natural history - 1821 - 376 pages
...= — , 4 d because - and — , represent the multiple part or parts that a is of A, and c of d. If the terms of a ratio be multiplied or divided by the same quantity, the ratio is not altered. For — = — . 4 mh That ratio is greater than another, whose antecedent is... | |
 | Bewick Bridge - Algebra - 1821 - 284 pages
....'. the ratio oî ma: mb к the same mv v with the ratio of a : b ; from which we infer, that " if the terms •** of a ratio be multiplied or. divided by the same quantity, it '.' does not alter the value of the .ratio." From hence also it appears, that a ratio is reduced... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...consequently, ihe ratio of ma : mb h the same with the ratio of a : b; from which we infer, that if the terms of a ratio be multiplied or divided by the same quantity, it does not alter the value of the ratio. From whence, also, it appears, that a ratio is reduced to... | |
 | George Lees - 1826 - 276 pages
...of the ratio, while the latter, from its following the other, is denominated the consequent. 98. If the terms of a ratio be multiplied or divided by the same quantity, the ratio is not altered. Thus, the ratio of a to b is the same with that of ma to mb, because r = b —... | |
 | James Bryce - Algebra - 1837 - 322 pages
...multiplication of the n no n denominator divides the value of the fraction. 78. III. If the terms of a fraction be multiplied or divided by the same quantity, the value of the fraction is not changed. Let T be the fraction, and ж its value, so that -=- = я.' о о then, if... | |
 | Bewick Bridge - Algebra - 1839 - 280 pages
...therefore the ratio of ma : nib is the same with the mo b ratio of a : 6 ; from which we infer, that " if the terms of a ratio be multiplied or divided by the same quantity, it does not alter the value of the ratio." Hence also it appears, that a ratio is reduced to its lowest... | |
| |
... if the terms of a ratio be multiplied or divided by the same quantity, it does not alter the value of the ratio. 
