Measuring up a long, raking pass from Ryan McGowan, picked at right-back to replace the injured Ivan Franjic, Cahill thumped in a precise, first-time strike that immediately assumed a place in the first rank of history's great volleys.
Kane settled the contest with a precise first-half header to join Jürgen Klinsmann, Teddy Sheringham and Gareth Bale as Tottenham's record goalscorer in a Premier League season with 21 goals.
It was his burst down the right, turn and cross that led to Adam's goal, a precise first-time finish with his left foot into the far corner.
He capped his display with a precise, first-time finish for the second goal, but it says everything that he created the chance, essentially, himself, via some determined pressing when Costa Rica had the ball and a lung-busting run to provide support in the final third.
"I needed to have very fast footwork and a precise first service, as high a percentage as possible, using every opportunity to take control over the rally," he said.
However, those making a highly precise first offer were less ambitious than those who were less precise but still came out ahead.
Paolo Ferri, the Rosetta mission director, says all the data point to a "very precise first landing" that was "very close to the originally planned" landing site.
Just when it seems everything is known, down to the precise second of a Nixon sneeze on any given day, something else emerges.
Once there, Marty learns that lawyers have been abolished, clothes are self-drying, and weather forecasts can tell you the precise second when a rain shower will stop.
Although the precise second of contact was needed for calculations, this so-called "black drop" phenomenon caused observers watching the same event to disagree by several seconds up to a minute on when the outer edges touched.
