Conversion From Two Parametric Equations To A Single Equation
Converting a set of parametric equations involves eliminating the variable t from the simultaneous equations . If one of these equations can be solved for t, the expression obtained can be substituted into the other equation to obtain an equation involving x and y only. If x(t) and y(t) are rational functions then the techniques of the Theory of Equations such as resultants can be used to eliminate t. This is possible for the parametric equations describing the fish curve, as shown above.
Read more about this topic: Fish Curve
Famous quotes containing the words conversion, single and/or equation:
“The conversion of a savage to Christianity is the conversion of Christianity to savagery.”
—George Bernard Shaw (1856–1950)
“The sound of tireless voices is the price we pay for the right to hear the music of our own opinions. But there is also, it seems to me, a moment at which democracy must prove its capacity to act. Every man has a right to be heard; but no man has the right to strangle democracy with a single set of vocal chords.”
—Adlai Stevenson (1900–1965)
“A nation fights well in proportion to the amount of men and materials it has. And the other equation is that the individual soldier in that army is a more effective soldier the poorer his standard of living has been in the past.”
—Norman Mailer (b. 1923)