 | Colin MacLaurin - 1779 - 610 sider
...And by firrtilar equations geometrical lines of fuperior orders are denned. § 2. A geometrical Une may meet a right line in as many points as there are units in the number whichv denotes the order of the equation or line, and never in more. The number of times that any curve... | |
 | Colin MacLaurin - 1796 - 556 sider
...order is у»' -t ax + b X f -f cxx — äx + ex у — /V3 -fc g** — bx .+ k — о. And by iimilar equations geometrical lines of fuperior orders are...more. The number of times that any curve will meet its abfcifla AP is determined by putting у — ó, in which cafe there remains only the laft term of the... | |
 | Dionysius Lardner - 1823 - 658 sider
...case all the roots may be impossible. Hence we find that every algebraic curve may be intersected by a right line in as many points as there are units in the exponent of its order, but not in more. Since a transformation of the origin to any other point on... | |
 | Charles Davies, William Guy Peck - 1857 - 608 sider
...the equation of a curve of any order, we shall in general get as many pairs of values for z and y, as there are units in the number which denotes the order of the curve. It may happen, however, that some of the sets of values are imaginary, but imaginary roots go... | |
 | Yves Hellegouarch - 2001 - 395 sider
...b)y2 + (ex2 - dx + e)y -fx3 + gx2 - bx + k = 0. And by similar equations geometrical lines of superior orders are defined. (2) A geometrical line may meet...more. The number of times that any curve will meet its abscissa AP is determined by putting y = 0, in which case there remains only the last term of the equation... | |
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And by iimilar equations geometrical lines of fuperior orders are defined. § 2. A geometrical line may meet a right line in as many points as there are units in the number which denotes the order of the equation or line, and never in more. The number... 