A Treatise of Algebra Wherein the Principles Are Demonstrated And Applied in M
A Treatise of Algebra Wherein the Principles Are Demonstrated And Applied in M
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In our eReader you can find the full English version of the book. Read A Treatise of Algebra Wherein the Principles Are Demonstrated And Applied in M 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 A Treatise of Algebra Wherein the Principles Are Demonstrated And Applied in M
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V — lay -if Ittu -f- 2 ?/;; — ^yy::^ by and £?; — uu — uy -f j'j; zz o. To the former of which add the 'double of the latter fo fhall aa — 2au -zz b ; and therefore u — 1^ _A .
_J 2 2a From whence, and yy - f « --.^^ X >• = z»7/, the value of;' f = Y «« + • iE]± _ lirif ) is likevvife given. 4 2 ' ^ , ... Y, ^. , PROBLEM LXXII.
r% /V^^, ' % ^ The fum [a\ ihe fum of the fquares (/>), and the ju?n if 3^ '5_ ^^ /;^^ cubes (c)^ of any four amnbers in geometrical proportion ♦ hei}ig given ; /^ find ...the nurnbers.
Let half the fum of the two means be x^ and half their (difference y ; aifo let half the fum of the two extremes be z, and half their diiFr-rcnCe v^ and then the numbers themfelves will be exprefled thus, z — v^ x — >', x -f y^ z -f V : whence, by the conditions of the problem, wc have ><-< > 7 ^ — ■yXz+'z/zzA-— y X A- + y (Theor. I, p. 72)1 / * f, j which, contracl:ed, arc, l^^-i^^Cj - i^ 22: + 2;^ ~ ^, ^ 2z3 -J- 6z7;^+ 2a:^ + bxy'^z=.
What to read after A Treatise of Algebra Wherein the Principles Are Demonstrated And Applied in M?
You can find similar books in the "Read Also" column, or choose other free books by Thomas Simpson to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
V — lay -if Ittu -f- 2 ?/;; — ^yy::^ by and £?; — uu — uy -f j'j; zz o. To the former of which add the 'double of the latter fo fhall aa — 2au -zz b ; and therefore u — 1^ _A .
_J 2 2a From whence, and yy - f « --.^^ X >• = z»7/, the value of;' f = Y «« + • iE]± _ lirif ) is likevvife given. 4 2 ' ^ , ... Y, ^. , PROBLEM LXXII.
r% /V^^, ' % ^ The fum [a\ ihe fum of the fquares (/>), and the ju?n if 3^ '5_ ^^ /;^^ cubes (c)^ of any four amnbers in geometrical proportion ♦ hei}ig given ; /^ find ...the nurnbers.
Let half the fum of the two means be x^ and half their (difference y ; aifo let half the fum of the two extremes be z, and half their diiFr-rcnCe v^ and then the numbers themfelves will be exprefled thus, z — v^ x — >', x -f y^ z -f V : whence, by the conditions of the problem, wc have ><-< > 7 ^ — ■yXz+'z/zzA-— y X A- + y (Theor. I, p. 72)1 / * f, j which, contracl:ed, arc, l^^-i^^Cj - i^ 22: + 2;^ ~ ^, ^ 2z3 -J- 6z7;^+ 2a:^ + bxy'^z=.
What to read after A Treatise of Algebra Wherein the Principles Are Demonstrated And Applied in M?
You can find similar books in the "Read Also" column, or choose other free books by Thomas Simpson to read onlineMoreLess
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