The Principles of Fluxions Designed for the Use of Students in the University
The Principles of Fluxions Designed for the Use of Students in the University
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In our eReader you can find the full English version of the book. Read The Principles of Fluxions Designed for the Use of Students in the University Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book The Principles of Fluxions Designed for the Use of Students in the University
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Waring's Med. Alg. Last edit, in the Addenda, K + L -f &c. =0 ; Ka-fLZ>-|-&c. =0 ; &c. Through all those terms, when m is less than n ; in this case therefore F=Ka m x h. 1. X — a -f L. B m X h. 1. X — b + &c. If m be equal to or greater than n, the coefficients of the first n — 1 terms will become=0.
136. If m be less than n, the quantity - — i)x n - l +tx. C. ' ' ' may be resolved into -i J f-&c. For in x — a x — b x — c this case K x x — bx x — cx&c. -f-L x x — a x x — i c x 166 Fluents of Q...uantities.
&c. -f-&c. = x m ; hence, if x=a, K= = a — b X a — cx&c.
' b m if x=b, L= : — ===== ; &c. The reason why b — a x b — c X &c.
;;z must be less than n is this : The quantity K X x — b x x — c x &c. -f L X x — a X x — c X &c. -f-6cc. — . V"'=0 ; and that this may be always true, the coeffi- cientsof the like powersof x must be assumed =0 (Art. 110. ), and by such an assumption you would deduce the same values of K, L, &c. As above. Now the pro- duct of each of the quantities into which K, L, &c.
What to read after The Principles of Fluxions Designed for the Use of Students in the University?
You can find similar books in the "Read Also" column, or choose other free books by Samuel Vince to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Waring's Med. Alg. Last edit, in the Addenda, K + L -f &c. =0 ; Ka-fLZ>-|-&c. =0 ; &c. Through all those terms, when m is less than n ; in this case therefore F=Ka m x h. 1. X — a -f L. B m X h. 1. X — b + &c. If m be equal to or greater than n, the coefficients of the first n — 1 terms will become=0.
136. If m be less than n, the quantity - — i)x n - l +tx. C. ' ' ' may be resolved into -i J f-&c. For in x — a x — b x — c this case K x x — bx x — cx&c. -f-L x x — a x x — i c x 166 Fluents of Q...uantities.
&c. -f-&c. = x m ; hence, if x=a, K= = a — b X a — cx&c.
' b m if x=b, L= : — ===== ; &c. The reason why b — a x b — c X &c.
;;z must be less than n is this : The quantity K X x — b x x — c x &c. -f L X x — a X x — c X &c. -f-6cc. — . V"'=0 ; and that this may be always true, the coeffi- cientsof the like powersof x must be assumed =0 (Art. 110. ), and by such an assumption you would deduce the same values of K, L, &c. As above. Now the pro- duct of each of the quantities into which K, L, &c.
What to read after The Principles of Fluxions Designed for the Use of Students in the University?
You can find similar books in the "Read Also" column, or choose other free books by Samuel Vince to read onlineMoreLess
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