But Valthor was less patient; and at last, late one day when they found themselves at the head of a blind canyon where stupendous cliffs barred further progress, he admitted defeat. "I am lost," he said simply.

"That," remarked Tarzan, "I could have told you many days ago."

Valthor looked at him in surprise. "How could you know that," he demanded, "when you yourself do not know in what direction my country lies?"

"I know," replied the ape-man, "because during the past week you have led the way toward the four points of the compass, and today we are within five miles of where we were a week ago. Across this ridge at our right, not more than five miles away, is the little stream where I killed the ibex and the gnarled old tree in which we slept that night just seven suns ago."

Valthor scratched his head in perplexity, and then he smiled. "I cannot dispute you," he admitted. "Perhaps you are right, but what are we going to do?"

"Do you know in what direction your country lies from the camp in which I found you?" asked Tarzan.

"Thenar is due east of that point," replied Valthor; "of that I am positive."

"Then we are directly southwest of it now, for we have travelled a considerable distance toward the south since we entered the higher mountains. If your country lies in these mountains then it should not be difficult to find it if we can keep moving always in a northeasterly direction."

"This jumble of mountains with their twisting canyons and gorges confuses me," Valthor admitted. "You see, in all my life before I have never been farther from Thenar than the valley of Onthar, and both these valleys are surrounded by landmarks with which I am so familiar that I need no other guides. It has never been necessary for me to consult the positions of the sun, the moon, nor the stars before; and so they have been of no help to me since we set out in search of Thenar. Do you believe that you could hold a course toward the northeast in this maze of mountains? If you can, then you had better lead the way rather than I."

"I can go toward the northeast," Tarzan assured him, "but I cannot find your country unless it lies in my path."