A Treatise of Algebra,: In Three Parts. Containing I. The Fundamental Rules and Operations. II. The Composition and Resolution of Equations of All Degrees; and the Different Affections of Their Roots. III. The Application of Algebra and Geometry to Each Other. To which is Added, an Appendix, Concerning the General Properties of Geometrical LinesF. Wingrave; T. Longman; W. Richardson; G. G. and J. Robinson; F. and C. Rivington; W. Lowndes; and Cadell and Davies., 1796 - 504 páginas |
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... Coefficients of equa- tions III . Of the Transformation of equations , and exterminating their intermediate terms IV . Of finding the Roots of equations when two or more of the roots are equal to 139 . 148 each other 162 V. Of the ...
... Coefficients of equa- tions III . Of the Transformation of equations , and exterminating their intermediate terms IV . Of finding the Roots of equations when two or more of the roots are equal to 139 . 148 each other 162 V. Of the ...
Página 7
... coefficient . Thus i is the coefficient of a or of b . - 5a are Quantities are faid to be like or fimilar , that are represented by the fame letter or letters equally repeated . Thus + 3a and like ; but a and b , or a and aa are unlike ...
... coefficient . Thus i is the coefficient of a or of b . - 5a are Quantities are faid to be like or fimilar , that are represented by the fame letter or letters equally repeated . Thus + 3a and like ; but a and b , or a and aa are unlike ...
Página 8
... coefficients , to their fum . prefix the common fign , and fubjoin the common letter or letters . EXAMPLES . To + 5a to 6b to Add + 44 add 2b - a + b add 3a + 5b Sum + ga Sum - 86 Sum4a + 6b To Το 34- 4x Add 5a- 8x Sum 8a - 12 8 A ...
... coefficients , to their fum . prefix the common fign , and fubjoin the common letter or letters . EXAMPLES . To + 5a to 6b to Add + 44 add 2b - a + b add 3a + 5b Sum + ga Sum - 86 Sum4a + 6b To Το 34- 4x Add 5a- 8x Sum 8a - 12 8 A ...
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... coefficient from the greater , prefix the fign of the greater to the remainder , and fubjoin the common letter or betters . EXAMPLES . To -44 + 5b - 6c Add +70 -3b + 8c Sum +34 26 + 26 Το a + 6x - 5y + 8 24-26 Add 5a - 4x + 4y - 3 ...
... coefficient from the greater , prefix the fign of the greater to the remainder , and fubjoin the common letter or betters . EXAMPLES . To -44 + 5b - 6c Add +70 -3b + 8c Sum +34 26 + 26 Το a + 6x - 5y + 8 24-26 Add 5a - 4x + 4y - 3 ...
Página 10
... coefficients prefixed . EXAMPLES . To + 2a Add + 3b + 3a - -4x Sum 2a + 3b 3a - 4x Το 4a + 4b + 3c Add -4x - 4y + 3 % Sum 4a + 4b + 3c = 4x - 4x + 3≈ CHAP . $ 10 . CHA P. III . OF SUBTRACTION . 10 PART I. A TREATISE of.
... coefficients prefixed . EXAMPLES . To + 2a Add + 3b + 3a - -4x Sum 2a + 3b 3a - 4x Το 4a + 4b + 3c Add -4x - 4y + 3 % Sum 4a + 4b + 3c = 4x - 4x + 3≈ CHAP . $ 10 . CHA P. III . OF SUBTRACTION . 10 PART I. A TREATISE of.
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