The Cambridge And Dublin Mathematical Journal .. 2 1839-1840
The Cambridge And Dublin Mathematical Journal .. 2 1839-1840
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.From the three pairs of quantitive equations (9), (10), (11), it is evident that generally a plane drawn parallel to that of x\ z\ will be pierced in three different points by the curvilinear loci of the equation (1) when y is chosen as the regulative symbol. Like conclusions would have resulted from the imposition of any other value upon the function ^(a). Thus the equation (I) represents two or three interminable curves accordingly as ^ or y is the regu- lative symbol.
4. Suppose that, from ...the peculiar constitution of the function /(ar, y), when we put ar= +^^'*').a', where a is some particular value of a, the equation /(a?, y)=0 has n equal values +*73' of y, ^ and p being the corresponding particular values of s and /3. Con- sider X as the regulative symbol. In this case it is clear that the curves which belong to x as the regulative symbol, which for the convenience of a technicality we shall call the * x curves', have a multiplicity at the point x = -f^C*'). a, y = +*'/3', of the n^^ de- gree.
What to read after The Cambridge And Dublin Mathematical Journal .. 2 1839-1840?
You can find similar books in the "Read Also" column, or choose other free books by Gregory, Duncan Farquharson, 1813-1844 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
.From the three pairs of quantitive equations (9), (10), (11), it is evident that generally a plane drawn parallel to that of x\ z\ will be pierced in three different points by the curvilinear loci of the equation (1) when y is chosen as the regulative symbol. Like conclusions would have resulted from the imposition of any other value upon the function ^(a). Thus the equation (I) represents two or three interminable curves accordingly as ^ or y is the regu- lative symbol.
4. Suppose that, from ...the peculiar constitution of the function /(ar, y), when we put ar= +^^'*').a', where a is some particular value of a, the equation /(a?, y)=0 has n equal values +*73' of y, ^ and p being the corresponding particular values of s and /3. Con- sider X as the regulative symbol. In this case it is clear that the curves which belong to x as the regulative symbol, which for the convenience of a technicality we shall call the * x curves', have a multiplicity at the point x = -f^C*'). a, y = +*'/3', of the n^^ de- gree.
What to read after The Cambridge And Dublin Mathematical Journal .. 2 1839-1840?
You can find similar books in the "Read Also" column, or choose other free books by Gregory, Duncan Farquharson, 1813-1844 to read onlineMoreLess
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