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i searched up moving points and found this
what the actual orz
by
balllightning37, Mar 24, 2024, 9:24 PM
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what the orz have I seen here
by
avisioner, Feb 7, 2024, 2:50 PM
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yayups howsopro ORZORZ
by
the_mathmagician, Oct 20, 2021, 12:09 AM
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orzorzorzorzorzorzorzorzorzorzorzorzorzorzorzorzorzorzorzorzorzorz
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554183, Oct 18, 2021, 3:32 PM
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One of the best blogs I have come across
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lneis1, Jul 26, 2021, 2:17 PM
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Are u surprised by him making IMO
looking at his posts, it was very likely any way
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554183, Jul 8, 2021, 6:05 AM
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WAIT WHAT HE MADE IMO 2020
HOW TO BE SO GOD TIER
ORZORZORZORZ
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OlympusHero, Jun 6, 2021, 3:00 AM
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give contrib thanqies
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RedFireTruck, May 5, 2021, 5:16 PM
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hey there
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yofro, Apr 13, 2021, 1:44 AM
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@below He is contestant 2
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Gaussian_cyber, Sep 20, 2020, 10:37 AM
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did you make IMO 2020?
which contestant are you?
by
Orestis_Lignos, Sep 18, 2020, 2:27 PM
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yayups IMO 2020
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fukano_2, Sep 10, 2020, 6:30 AM
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how do u know he made IMO?
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Puffer13, Sep 6, 2020, 12:12 PM
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Congrats on USA IMO!
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Imayormaynotknowcalculus, Aug 15, 2020, 4:52 PM
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IMO 2020
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cmsgr8er, Aug 7, 2020, 8:16 PM
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Nice blog! dang you seem pretty clever
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sunfishho, Sep 6, 2017, 3:45 AM
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Nice blog
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niyu, Jul 7, 2017, 10:33 PM
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thanks bro
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yayups, Jul 7, 2017, 5:10 AM
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Nice blog!
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pinetree1, Jul 2, 2017, 1:20 AM
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thanks
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yayups, Jun 28, 2017, 2:58 AM
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Nice first posts, keep it up!
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pohoatza, Jun 28, 2017, 2:39 AM
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lol
we can make a collaborative blog if you want though
but I kind of want to keep this blog more of a personal blog
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yayups, Jun 28, 2017, 1:17 AM
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Nice blog!
@pinetree1 He told me that he's not giving contribs on this blog
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niyu, Jun 28, 2017, 1:12 AM
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hi
That problem is very cool
I was considering putting it, but then decided not to since it was a little too difficult IMO
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yayups, Jun 28, 2017, 12:54 AM
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hello yayups!
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JasperL, Jun 28, 2017, 12:43 AM
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Contrib?
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pinetree1, Jun 27, 2017, 6:14 PM
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Thanks
You guys seem pretty good
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yayups, Jun 27, 2017, 6:04 PM
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Nice blog!
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pinetree1, Jun 27, 2017, 3:28 PM
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First shout, cool blog
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Ankoganit, Jun 27, 2017, 8:00 AM
by yayups, Jul 9, 2017, 10:52 PM 
be a triangle and let 
be the contact points of the incircle with the sides of 
and 
be on sides 
and 
respectively such that 
is parallel to 
, and so that 
. Let 
be the midpoint of 
be the intersection of 
with 
is tangent to 
be a triangle and let 
be the contact points of the incircle with the sides of 
and 
be on sides 
and 
respectively such that 
is parallel to 
, and so that 
. Let 
be the midpoint of 
be the intersection of 
with 
is tangent to ![[asy]
unitsize(0.5inches);
/* Geogebra to Asymptote conversion, documentation at artofproblemsolving.com/Wiki, go to User:Azjps/geogebra */import graph; size(0cm); real labelscalefactor = 0.5; /* changes label-to-point distance */pen dps = linewidth(0.7) + fontsize(0); defaultpen(dps); /* default pen style */ pen dotstyle = black; /* point style */ real xmin = -3.9736124984361165, xmax = 11.235531284436634, ymin = -7.950870977021894, ymax = 2.176516134138837; /* image dimensions */ /* draw figures */draw((-2.8922339460196698,1.476871435971849)--(0.4,-6.98), linewidth(1.2)); draw((0.4,-6.98)--(10.452796252063926,-7.047715170437999), linewidth(1.2)); draw((10.452796252063926,-7.047715170437999)--(-2.8922339460196698,1.476871435971849), linewidth(1.2)); draw(circle((2.0626847675547553,-4.565977907572981), 2.425166842081679), linewidth(1.2)); draw((-2.0482507976454687,-6.963508695901056)--(0.4,-6.98), linewidth(1.2)); draw((-2.0482507976454687,-6.963508695901056)--(3.368215793602584,-2.522201268123622), linewidth(1.2)); draw((-1.493227351873583,-2.116803587965716)--(2.778622242304825,-2.145578569185087), linewidth(1.2)); draw((-2.8922339460196698,1.476871435971849)--(2.0463493265028276,-6.991089732891159), linewidth(1.2)); draw((-2.0482507976454687,-6.963508695901056)--(-0.05611363838060668,-3.386093367908957), linewidth(1.2)); draw((-0.05611363838060668,-3.386093367908957)--(0.642697445215621,-2.1311910785754016), linewidth(1.2)); draw((2.0463493265028276,-6.991089732891159)--(2.0790202086066834,-2.140866082254804), linewidth(1.2)); draw((0.642697445215621,-2.1311910785754016)--(2.0463493265028276,-6.991089732891159), linewidth(1.2)); /* dots and labels */label("$A$", (-2.9379938402199195,1.6346226501885006), NE * labelscalefactor); label("$B$", (0.34949329574544924,-7.3728512608082015), NE * labelscalefactor); label("$C$", (10.537090794011757,-7.312640873702609), NE * labelscalefactor); label("$D$", (2.0112999798598117,-7.440388409175898), NE * labelscalefactor); label("$X$", (1.80007207540709973,-2.074337195516024), NE * labelscalefactor); label("$E$", (3.420223038130684,-2.4476415955707003), NE * labelscalefactor); label("$F$", (-0.4573258914694947,-6.034076796008109), NE * labelscalefactor); label("$T$", (-2.2395533497950426,-7.3283463317547785), NE * labelscalefactor); label("$P$", (-1.8458281755291813,-2.3549683568328027), NE * labelscalefactor); label("$Q$", (2.830161244495874,-2.074337195516024), NE * labelscalefactor); label("$M$", (0.6866714635367691,-2.062295118094905), NE * labelscalefactor); label("$Z$", (0.06048343763860365,-3.459176098944661), NE * labelscalefactor); label("$Y$", (-0.7463357495763403,-2.0502530406737867), NE * labelscalefactor); label("$R$", (0.8311763925901919,-2.7064410665719534), NE * labelscalefactor); clip((xmin,ymin)--(xmin,ymax)--(xmax,ymax)--(xmax,ymin)--cycle); /* end of picture */
[/asy]](http://latex.artofproblemsolving.com/0/0/4/004c758502ac9c0e881accd6d0b25a3541ea3300.png)
with 
.
be the tangency point of 
be the intersection of 
be the intersection of 
with 
is tangent to 
and 
intersect at 
which is collinear with 
.
is harmonic. Thus, the tangents to 
is tangent to 
is harmonic. To do this, we first note that 
by noting that 
,
is harmonic. Taking perspective at 
April 2021
September 2020