Higher geometry; an introduction to advanced methods in analytic geometry (1922)
Woods, Frederick S. (Frederick Shenstone), 1864- · Boston, New York, Ginn and Company · leaf 85
erefore lies on a curve of second order.Conversely, if y1: y2: ya is a point on this curve of second order, -a+/3&we have & = • • y» 7 But the line joining y. to A has the parameter X = — ^, and u y* the line joining yi to B has the parameter \= — ^, and conse-quently X = —-— Hence the… … CURVES OF SECOND ORDER AND SECOND CLASS 73 If a = 0 the curve (1) reduces to the two straight lines x2= 0and <ixx— ftxt= 0, and the two pencils are in perspective (§ 16).Equation (1) may be written in the more symmetrical form Wi+ Wi+ Wi= °» or £* + !* 0. (2) II. The lines connecting…
Geometry, Analytic
Internet Archive · Cornell University Library · Public Domain Mark 1.0. Free to use for anything.
