...proportional to -j- , -=- , 7 ; that is, we may take as coordinates -=- , -rr- , 1 ; we have thus a Cp Cq system of two coordinates, which are respectively...deducible from it by the theory of reciprocal polars (or lhat of geometrical duality) : viz. we do not demonstrate the first theorem and deduce ^frorn it the...

...proportional to —p , -=- , 7 ; that is, we may take as co-**-lp L ordinates -^r » TT » 1 » we nave thus a system of two coordinates, which are respectively...reciprocal polars (or that of geometrical duality), vijs. we do not demonstrate the first theorem and deduce from it the other, but we do at one and the...

...to line coordinates in general: "There is little occasion for any explicit use of line coordinates : but the theory is very important; it serves in fact to show that in demonstrating by point coordinates any descriptive theorem whatever, \ve demonstrate the correlative theorem dedncible...

...to line coordinates in general: "There is little occasion for any explicit use of line coordinates : but the theory is very important; it serves in fact to show that in demonstrating by point coordinates any descriptive theorem whatever, we demonstrate the correlative theorem dedncible...

...to line coordinates in general: "There is little occasion for any explicit use of line coordinates : but the theory is very important ; it serves in fact to show that in demonstrating by point coordi. nates any descriptive theorem whatever, we demonstrate the correlative theorem dedncible...

...to line coordinates in general: "There is little occasion for any explicit nse of line coordinates : but the theory is very important; it serves in fact to show that in demonstrating by point coordi-nates any descriptive theorem whatever, we demonstrate the corrtlative theorem dcduciblo...

...the line-coordinates (£, 77, f) of each line (tangent) of the curve. There is in analytical geometry little occasion for any explicit use of line-coordinates; but the theory is very important; it serves to show that, in demonstrating by pointcoordinates any purely descriptive theorem whatever, we demonstrate...

...the line-coordinates (f, 17, f) of each line (tangent) of the curve. There is in analytical geometry little occasion for any explicit use of line-coordinates ; but the theory is very important ; it serves to show that, in demonstrating by pointcoordinates any purely descriptive theorem whatever, we demonstrate...