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" When, in any problem, there are two lines, or quantities, alike related to other parts of! the figure, or problem, the best way is not to make use of either of them separately, but to substitute for their sum... "
A Treatise on Algebra: In Practice and Theory, ... with Notes and ... - Page 307
by John Bonnycastle - 1813
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A portable cyclopædia; or, Compendious dictionary of arts and sciences

C T. Watkins - 1810 - 1056 pages
...sought, both the segments vould be surd quantities, and the final equattoa a* unsightly quadratic one. 3. When in any problem, there are two lines or Quantities...other parts of the figure, or problem, the best way is to make use of neither of then, but to tubstilute for their sum, their rectangle, or the sum of their...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811 - 406 pages
....expressed by addition and subtraction only, without using surds. 3d, When two lines or quantities are alike related to other parts of the figure or problem, the best way is, not to make nse of either ' of them separately, but to substitute for their sum, or difference, or rectangle, or...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - 1812 - 620 pages
...substitute for, those are to be chosen, whether required or not, which lie nearest the known or given parts of the figure, and by means of which the next adjacent parts may be expressed by addition and subtraction only, without using surds. 3of, When two lines or quantities...
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A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Volume 1

Charles Hutton - 1816 - 610 pages
...for, those are to be chosen, whether required or not, which he nearest the known or given parts.of the figure, and by means of which the nex't adjacent parts may be expressed by audition and subtraction only, without using suids 3d, When two lines or quantities are...
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - 1818 - 326 pages
...substitute for, let those be chosen, whether required or not, that are nearest to the known or given parts of the figure, and by means of which the next adjacent...obtained by addition or subtraction only, without vising surds. 3d. When, in any problem, there are two lines, or quantities, alike related to other...
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A Treatise of Algebra: Wherein the Principles are Demonstrated ... To which ...

Thomas Simpson - 1821 - 426 pages
...sought, both the segments would be surd quantities, and the final equation an ugly quadratic one. 3°. When, in any problem, there are two lines or quantities...other parts of the figure, or problem, the best way is to make use of neither of them, but to substitute for their sum, their rectangle, or the sum of their...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822 - 616 pages
...substitute for, those are to be chosen, whether required or not. which lie nearest the known or given parts of the figure, and by means of which the next adjacent parts may be expressed by addition and sabtraction only, without using sards. 3d, Whc.n two lines or quantities...
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An Introduction to Algebra, with Notes and Observations: Designed for the ...

John Bonnycastle - 1829 - 372 pages
...substitute for, let those be chosen, whether required or not, that are nearest to the known or given parts of the figure, and by means of which the next adjacent...or quantities, alike related to other parts of the fijjure, or problem, the best way is not to make use of either of them separately, but to substitute...
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An Introduction to Algebra: With Notes and Observations; Designed for the ...

John Bonnycastle - 1834 - 330 pages
...substitute for, let those be chosen, whether required or not, that are nearest to the known or given parts of the figure, and by means of which the next adjacent...surds. 3d. When in any problem there are two lines, or quanties, alike related to other parts of the figure, or problem, the best way is not to make use of...
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An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - 1840 - 634 pages
...substitute for, those are to be chosen, whether required or not, which lie nearest the known or given parts of the figure, and by means of which the next adjacent parts may be expressed by addition and subtraction only, without using surds. 3d. When two lines or quantities are...
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