Open Access
Subscription Access
Open Access
Subscription Access
A Note in Analytical Geometry
Subscribe/Renew Journal
If the equation to a straight line be
lx + my + n = 0
we know that the equation of the diameter conjugate to the line with respect to the conic
f(x, y) = ax2 + 2hxy + by2 + 2gx + 2fy + c = 0
is X/l = Y/m, or mX - lY = 0,
where X = ax + hy + g, Y = hx + by + f.
In other words, the diameter conjugate to a given line is obtained by substituting (- Y, X) for (x, y) in the original equation and suppressing the constant.
Subscription
Login to verify subscription
User
Font Size
Information
Abstract Views: 208
PDF Views: 0