<![CDATA[Points switch places when an ellipse is intersected with a line]]>
https://help.geogebra.org/topic/points-switch-places-when-an-ellipse-is-intersected-with-a-line_2
Sun, 16 Dec 2018 02:31:11 +0000Fri, 14 Dec 2018 22:08:12 +0000Zend_Feed<![CDATA[Use the top left slider.]]>
https://help.geogebra.org/topic/points-switch-places-when-an-ellipse-is-intersected-with-a-line_2#comment-251966
Fri, 14 Dec 2018 23:51:50 +0000<![CDATA[Points Z_9 and A_10]]>
https://help.geogebra.org/topic/points-switch-places-when-an-ellipse-is-intersected-with-a-line_2#comment-251968
Fri, 14 Dec 2018 23:57:11 +0000<![CDATA[sorry was wrong, see later again...]]>
https://help.geogebra.org/topic/points-switch-places-when-an-ellipse-is-intersected-with-a-line_2#comment-251970
Sat, 15 Dec 2018 00:55:59 +0000<![CDATA[I think yes, it's possible. But: No connection to i.imgur.com. Please send a ggb file as attachment to your post.]]>
https://help.geogebra.org/topic/points-switch-places-when-an-ellipse-is-intersected-with-a-line_2#comment-251962
Fri, 14 Dec 2018 23:37:48 +0000<![CDATA[Thanks for trying to help.]]>
https://help.geogebra.org/topic/points-switch-places-when-an-ellipse-is-intersected-with-a-line_2#comment-251972
Sat, 15 Dec 2018 01:11:46 +0000<![CDATA[I had to refresh my skills for perspective drawing. Now I hope it's OK: ------------------------ I think your principle is wrong and it's bether to determine A_{10} by starting with L+(0,a) (is equal A) and using F_3, S_3, VP4 and VP3 replace --> A_{10} = Intersect(Line(Intersect(Line(L + (0, a), VP4), Line(F_3, yAxis)), VP3), Line(S_3, yAxis))new not need/info -> A_{10wrong} = Element(Sort({Intersect(c_{10}, c_1)}, Zip(Distance(P, A_{10}), P, {Intersect(c_{10}, c_1)})), 2)delete not need ---> Z_9 It is possible to create a list for all points with the same verticale-S_3 new --> ListS_3 = Sequence(Intersect(Line(Intersect(Line(L + (0, n a), VP4), Line(F_3, yAxis)), VP3), Line(S_3, yAxis)), n, 1, 20) If you need one of the points you can use: Element(ListS_3,<index>) or ListS_3(<index>) but this syntax not in all cases.]]>
https://help.geogebra.org/topic/points-switch-places-when-an-ellipse-is-intersected-with-a-line_2#comment-251976
Sat, 15 Dec 2018 06:27:18 +0000<![CDATA[ListS_3 can be improved. Even if there is no construction point on the edge (L, VP4) or (L, VP3), the next higher point can only be constructed by specifying the point in the plane, the height and the corner points VP4, VP3 and L. A_{10} = Intersect(Line(Intersect(Line(Intersect(Line(S_3, VP3), Line(VP4, L)), yAxis), Line(L + (0, a), VP4)), VP3), Line(S_3, yAxis))F_3 as parameter has been omitted and is implicitly constructed inside in the above expression (.... Intersect(Line(S_3, VP3), Line(VP4, L)).....) The expression for A_{10} can also be used in a list for all points vertically above S_3. ListS_3= Sequence(Intersect(Line(Intersect(Line(Intersect(Line(S_3, VP3), Line(VP4, L)), yAxis), Line(L + (0, n a), VP4)), VP3), Line(S_3, yAxis)),n,0,20)Analog, with ListR_8, also for the points above R_8 (center). Analog, with ListG_3, also for the points above G_3 (start step). In these three lists also the point with the height=0 is contained. This simplifies the construction of the stair steps by using only the points from these lists even for the lowest step (see t1 and q1). This form is very helpful (if of interest) for any following extensions (create ALL points above the circle).]]>
https://help.geogebra.org/topic/points-switch-places-when-an-ellipse-is-intersected-with-a-line_2#comment-252020
Sun, 16 Dec 2018 02:31:11 +0000