olymmath

Putnam 1951 A5

  • Session A
  1. Consider in the plane the network of points having integral coordinates. For lines having rational slope show that: (i) the line passes through no points of the network or through infinitely many; (ii) there exists for each line a positive number dd having the property that no point of the network, except such as may be on the line, is closer to the line than the distance dd.

Dataset text PutnamGAP. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator putnam/1951/a5 · Tag RZR0B7PQHV · Edit this page on GitHub · Keys: j next, k previous