 | John Bonnycastle - 1782 - 272 pages
...their new indices, place the given index, and they will make the equivalent quantities required. 1. Divide the indices of the quantities by the given index, and the quotients will be the new indices for thofe quantities. EXAMPLES: i. Reduce 15* and 9^ to equivalent quantities having the common index... | |
 | Mathematics - 1801 - 446 pages
...quantities of different indices to ether equivalent ones, that shall have a common index, RULE. I. Divide the indices of the quantities by the given index, and the quotients will be the new indices for those quantities2.Over the said quanfiti« with their new indices place the given index, and they... | |
 | Thomas Hodson - Arithmetic - 1806 - 488 pages
...Here a 1 x 3 =a 6 and y'a 6 is the furd quantity. To reduce Quantities of different Indices to otlier Quantities equal in Value, and having one given Index....equivalent ■values required. Example. Let iai, and 9J, be reduced to equal quantities, having the common index-J. Here 4-7—§-• = -2-=» tne index... | |
 | Charles Hutton - Mathematics - 1811 - 406 pages
...1 set over the common denominator will form the common index. Or, 2. If the common index be given, divide the indices • of the quantities by the given index, and the quotients will be the new indices for those quantities. Then over the said quantities, with their new indices, set the given index, and... | |
 | Charles Hutton - Mathematics - 1811 - 406 pages
...cube root. PROB-LEM ir, To Reduce Quantities to a Common Index, - 2. Jf the common index be given, divide the indices of the quantities by the given index, and the quotients will be the new indices for those quantities. Then over the said quantities, with their new indices, set the given index, and... | |
 | John Bonnycastle - Algebra - 1811 - 230 pages
...the given iiukx, and the quotients will be the new indices for those ¡¡«amities 2. Over the said quantities, with their new indices, place the given index, and they will make the equivalent «luantities required. 3. A common index may also be found by reducing the indices... | |
 | Charles Hutton - Mathematics - 1812 - 620 pages
...I set over the common denominator will form the common index. Or, 2. IF the common index be given, divide the indices of the quantities by the given index, and the quotients will be the new indices for those quantities. Then over the said quantities, with their new indices, set the given index, and... | |
 | John Mason Good - 1813 - 840 pages
...(&r«)j ¡,'thc answer, ing its fraction of the same value. Thui, a =. a? =i/dï the form of a Rule i. Divide the indices of the quantities by the given index, and the quotients will be the new radices for those quantities. «. II. To Reduce Quantities of different Indicts, to •tier eyuh-alcnt... | |
 | Charles Hutton - Mathematics - 1816 - 610 pages
...denominator form the common index, Or, 2. If the common index be given, divide the indices of the quamilies by the given index, and the quotients will be the new indices for those quantities. Then over toe said quuntiiics, with their new indices, set the given index, and... | |
 | Charles Hutton - Arithmetic - 1818 - 646 pages
...I set over the common denominator will form the common index. Or, 1. If the common index be given, divide the indices of the quantities by the given index, and the quotients will be the new indices for those quantities. Then over the said quantities, with their new indices, set the given index, and... | |
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Quantities equal in Value, and having one given Index. RULE. Divide the indices of the quantities by the given index, and the quotients will be the new indices of thofe quantities. Then over the faid quantities with their new indices place the given index,... 
