[/quote]
,
is the diameter of circle 
,
and 
intersect at point 
,
intersects at point 
,
intersects 
.
lies on 
. Prove that points 
,
is incenter of triangle 
and 
is a line tangent to the incircle. Let 
be another line such that intersects 
respectively at 
.
to the incircle other than 
,
.
are similarly defined. Prove that 
are concurrent.
,
and 
.
.
and 
is right.
is called 
if there exists a permutation 
of the numbers 
,
and 
have different parities for every 
;
the sum 
is a quadratic residue modulo 
for every 
.
is tiled in two ways - only with dominoes and only with squares 
.
,
,
points 
and 
lie on the segments 
and 
,
is a parallelogram. The circle with center the midpoint 
intersect for the second time at the point 
.
and 
intersect in a point.
and 
Show that
Where 
Show that
Where 
help in one of my classrooms, and one of the Halpers posted. Is this a glitch or a bug(see screenshot)?
Y by Yrock, Exponent11, PikaPika999
Summary of the problem: When using exit() (or quit()) in the Python windows on AoPS the "Description" and "To fix" options show up as "undefined"
Page URL: N/A
Steps to reproduce:
1. Use the AoPS Python module to execute the exit() or quit() functions in a program. (try running the sample program)
Expected behavior: The "Description" and "To fix" sections give a description of SystemExit
Frequency: Always
Operating system(s): Windows 11 Home
Browser(s), including version: Microsoft Edge 130.0.2849.46
Additional information: N/A
Page URL: N/A
Steps to reproduce:
1. Use the AoPS Python module to execute the exit() or quit() functions in a program. (try running the sample program)
Expected behavior: The "Description" and "To fix" sections give a description of SystemExit
Frequency: Always
Operating system(s): Windows 11 Home
Browser(s), including version: Microsoft Edge 130.0.2849.46
Additional information: N/A
Attachments:
This post has been edited 2 times. Last edited by SoaringHigh, Oct 22, 2024, 2:11 PM
