Yoss
- 27
- 0
Hello everyone,
I'm taking a high level Geometry course, and as it turns out, I'm a tad out of touch on at least one basic aspect learned years passed.
Parabola with equation y^2 = 2x, and parametric equation x = \frac{1}{2}t^2, y = t (t \in \Re) etc.
The problem is concered with finding the equation of the chord that joins the distinct points P and Q on the parabola w/ parameters t_1 and t_2 respectively, etc.
No that much of that was relevant to my quandray, which is in finding the gradient of PQ.
m = \frac{t_1 - t_2}{{\frac{1}{2}(t_1^2 - t_2^2)} = \frac{2}{t_1 + t_2} [\tex]<br /> edit: sorry, I guess I didn't get that tex tag right (what is wrong with it? Can I nest fractions like that?)<br /> <br /> m = (t1 - t2)/[.5(t1^2 - t2^2)] = 2/(t1 + t2).I can't remember (if I had learned it that is) how they arrived from the first to the latter fraction. <br /> <br /> An explanation would be quite welcome, thanks.
I'm taking a high level Geometry course, and as it turns out, I'm a tad out of touch on at least one basic aspect learned years passed.
Parabola with equation y^2 = 2x, and parametric equation x = \frac{1}{2}t^2, y = t (t \in \Re) etc.
The problem is concered with finding the equation of the chord that joins the distinct points P and Q on the parabola w/ parameters t_1 and t_2 respectively, etc.
No that much of that was relevant to my quandray, which is in finding the gradient of PQ.
m = \frac{t_1 - t_2}{{\frac{1}{2}(t_1^2 - t_2^2)} = \frac{2}{t_1 + t_2} [\tex]<br /> edit: sorry, I guess I didn't get that tex tag right (what is wrong with it? Can I nest fractions like that?)<br /> <br /> m = (t1 - t2)/[.5(t1^2 - t2^2)] = 2/(t1 + t2).I can't remember (if I had learned it that is) how they arrived from the first to the latter fraction. <br /> <br /> An explanation would be quite welcome, thanks.
Last edited: