<![CDATA[Procedures for geometric inversion]]>
https://help.geogebra.org/topic/procedures-for-geometric-inversion
Mon, 23 Apr 2018 11:25:57 +0000Fri, 20 Apr 2018 14:21:53 +0000Zend_Feed<![CDATA[maybe this help.]]>
https://help.geogebra.org/topic/procedures-for-geometric-inversion#comment-238158
Fri, 20 Apr 2018 16:23:08 +0000<![CDATA[Hi marcway! In your construction are some unnecessary points and lines. For the construction look here: https://en.wikipedia.org/wiki/Inversive_geometry#Compass_and_straightedge_construction_(point_outside_circle) To construct the inverse P' of a point P outside a circle Ø: Draw the segment from O (center of circle Ø) to P.Let M be the midpoint of OP.Draw the circle c with center M going through P.Let N and N' be the points where Ø and c intersect.Draw segment NN'.P' is where OP and NN' intersect. We don't construct the points N and N' that way, we use the the "tangent-tool" to get the points C_1 and C_2. ;-) See the corrected file - it's the same construction that you can see in rami's animated file. I hope, the construction protocol will help you and you can activate the animation of the point B. Greetings mire2]]>
https://help.geogebra.org/topic/procedures-for-geometric-inversion#comment-238170
Fri, 20 Apr 2018 20:58:06 +0000<![CDATA[supplementing: how you receive in GGB, in all possible cases, 3 different Points of P' see object c'' in attachment]]>
https://help.geogebra.org/topic/procedures-for-geometric-inversion#comment-238178
Fri, 20 Apr 2018 22:41:07 +0000<![CDATA[I think this version works in all (?) cases correct. Also when radius d < radius c and d is full in c. Pleas check. 2 cases: P outside c: P --> tangent --> tangent-points c --> P' P inside c: P --> tangent-points c --> tangent --> P' (mean reverse)]]>
https://help.geogebra.org/topic/procedures-for-geometric-inversion#comment-238186
Sat, 21 Apr 2018 07:17:35 +0000<![CDATA[Hello Rami, Please forgive me the delay in answering your precious help. I carefully analyzed its construction and understood "c '" as a locus. It is perfect! Many thanks again for your explanations inside the Applet. Thank you! Marcelo.]]>
https://help.geogebra.org/topic/procedures-for-geometric-inversion#comment-238336
Mon, 23 Apr 2018 11:09:53 +0000<![CDATA[Hello Mire2, Thank you very much for sending the file. I saw that my initial construction was wrong. Thank you for realizing and sending me the correction. Thank you so much for the careful step by step that you sent me! A careful tutorial helps us a lot to understand the geometric construction. Thank you! Marcelo.]]>
https://help.geogebra.org/topic/procedures-for-geometric-inversion#comment-238338
Mon, 23 Apr 2018 11:14:39 +0000<![CDATA[Hello Rami, Sensational ... in this construction I could easily see the 3 cases, by moving from the O' point. Thank you so much for the class! Marcelo.]]>
https://help.geogebra.org/topic/procedures-for-geometric-inversion#comment-238340
Mon, 23 Apr 2018 11:22:26 +0000<![CDATA[Hello Rami, Yes, I understood. I'm still analyzing the construction, so I can reproduce it in Geogebra. Great! Thank you so much for the precious help! Marcelo.]]>
https://help.geogebra.org/topic/procedures-for-geometric-inversion#comment-238342
Mon, 23 Apr 2018 11:25:59 +0000