Parabola constructed graphically from 3 points using slopes

Newton's method, presented at [url]http://mathpages.com/home/kmath546/kmath546.htm[/url], appears to be missing some lines on the diagram that is representing the construction. Newton's method, presented at [url]http://www2.washjeff.edu/users/mwoltermann/Dorrie/45.pdf[/url], uses the phrase "Mark off on the diagonals from OP = sqrt(OA*OC)" on page 3 where it is telling how to construct the two possible orientations of a parabola through 4 points and it is not clear to me what that phrase means.

 

smichr_1

 
Material Type
Activity
Tags
three  points  parabola  geometrical  construction 
Target Group (Age)
19+
Language
English (United Kingdom)
 
 
GeoGebra version
4.0
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