is described on a circle 
,
be 
respectively. A circle with a center 
,
.
,
.
,
and lines 
,
and lines 
are concurrent.
such that 
is a divisor of 
.
,
and 
.
is prime, 
with 
and 
.
Y by Adventure10, Mango247
Given two points in a plane and a straightedge whose length is less than the distance between them (but no compass!), construct the line passing through the two points.
You may want to use a special case of Desargues' theorem:
Suppose we have two triangles,
and 
positioned in such a way that 
, and 
intersect in a point. Let lines 
and 
meet at point 
, lines 
and 
, meet at 
, and 
and 
at 
. Then, points 
, and are collinear (fig. ).
You may want to use a special case of Desargues' theorem:
Suppose we have two triangles,
and 
positioned in such a way that 
, and 
intersect in a point. Let lines 
and 
meet at point 
, lines 
and 
, meet at 
, and 
and 
at 
. Then, points 
, and are collinear (fig. ).
This post has been edited 1 time. Last edited by parmenides51, Aug 21, 2019, 1:14 AM
