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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,... "
The Accomplished Tutor; Or, Complete System of Liberal Education ... - Side 10
av Thomas Hodson - 1806 - 458 sider
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An Introduction to Algebra: With Notes and Observations: ... By John ...

John Bonnycastle - 1782 - 272 sider
...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...
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volum 1

1801 - 446 sider
...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...
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The Accomplished Tutor; Or, Complete System of Liberal Education ..., Volum 2

Thomas Hodson - 1806 - 488 sider
...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...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811 - 406 sider
...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...
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A Course of Mathematics: In Three Volumes : Composed for the Use of the ...

Charles Hutton - 1811 - 406 sider
...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...
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An Introduction to Algebra: With Notes and Observations: Designed for the ...

John Bonnycastle - 1811 - 230 sider
...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...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - 1812 - 620 sider
...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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 1

John Mason Good - 1813 - 840 sider
...(&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...
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A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Volum 1

Charles Hutton - 1816 - 610 sider
...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...
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A Course of Mathematics: In Two Volumes. For the Use of Academies ..., Volum 1

Charles Hutton - 1818 - 646 sider
...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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