eat, sleep, explore and
keep our eyes peeled."

"Peeled for what?" asked Hal.

"More mathematical evidence."

"Good!" exclaimed Bud. "We mustn't lose sight of the purpose of this
expedition. If our radio Crusoe is really Hal's cousin, we're bound by
the ties of friendship to stick to our task till it's finished."

"Very well," said the chair. "Having settled the question of general
policy, let's get down to some more detail. What shall we do next?"

"Complete our exploration of the islands," said Cub. "There's no telling
what we may find."

"Now, you're beginning to look at things the way your father does," put
in Hal shrewdly.

"How's that?" Cub inquired.

"Why you're willing to look for a trail. I'm not saying you were any
worse than Bud and I were before we got started on this hunt. We just
stumbled on a trail to begin with, but when we lost it we didn't know
what to do next until your father told us it was up to us to scout around
and find it again."

"Yes, that's right," Cub admitted. "We scouted around in the air and
found the trail that brought us here."

"Moral: Whenever at a loss, do some broadcasting," suggested Mr. Perry.

"Right," declared Bud; "Now the thing for us to do is some physical
broadcasting on this island."

"In other words, we'll all go in different directions and examine every
square foot of this island," Cub inferred.

"Exactly," assented Mr. Perry. "It ought not to take very long. There are
only about five acres here, although the place is pretty well covered
with bushes and trees."

Without further ado they separated toward different points of the
compass. It was indeed a random exploration, well characterized as
something of a "broadcast," but the task was well executed by all. They
had no definite expectation in view, and hence they had to content
themselves with examining every physical feature as a naturalist or a
topographer, perchance, would look for the feature demands of his
specialty, and in about half an hour reconvened in front of their tent.
Hal was the only person present with a look of excitement or eagerness on
his face, and consequently the general interest of the others was
directed toward him.

"You've found something, I know, Hal," Bud declared. "You came running
through the bushes as if you were chased by a catamount or else you had
something on your mind that threatened to burst your cranium."

"I didn't meet a catamount," replied the boy to whom thes