A4

Part of 1960 Putnam

Problems(1)

Source: Putnam 1960

Given two points,

P

Q

, on the same side of a line

L

, the problem is to find a third point

R

PR+ RQ+RS

is minimal, where

S

is the unique point on

L

RS

is perpendicular to

L.

Consider all cases.

PutnamgeometryLocus