Monsieur Violet . forward, to solve the problem, andhe did it as follows :—He went down to the side of theriver, and fixed upon a spot as a centre ; then he selectedtwo trees, on the right and left, on the other side, as nearas his eye could measure equidistant from where he so done, he backed his horse from the river, untilhe came to where his eye told him that he had obtainedthe point of an equilateral triangle. Thus, in the diagram,he selected the two trees A and B, walked back to E, andthere fixed his lance. He then fell back in the directionE D, until he had, as nearly as he
Monsieur Violet . forward, to solve the problem, andhe did it as follows :—He went down to the side of theriver, and fixed upon a spot as a centre ; then he selectedtwo trees, on the right and left, on the other side, as nearas his eye could measure equidistant from where he so done, he backed his horse from the river, untilhe came to where his eye told him that he had obtainedthe point of an equilateral triangle. Thus, in the diagram,he selected the two trees A and B, walked back to E, andthere fixed his lance. He then fell back in the directionE D, until he had, as nearly as he could tell, made thedistance from A E equal to that from E D, and fixedanother lance. The same was repeated to E C, when thelast lance was fixed. He then had a parallelogram ; andas the distance from F to E was exactly equal to thedistance from E to G, he had but to measure the spacebetween the bank of the river and E, and deduct itfrom E G, and he obtained the width of the riverrequired. 72 Monsieur Violet F B. I do not think that this calculation, which proved to beperfectly correct, occupied the old chief more than threeminutes ; and it must be remembered that it was done inthe face of the enemy: but I resume my own history. Chapter X In narrating the unhappy death of the Prince, I have statedthat the Crows bore no good-will to the white menestablished among the Shoshones. That feeling, however,was not confined to that tribe j it was shared by all theothers within two or three hundred miles from the BuonaVentura river, and it was not surprising ! Since ourarrival, the tribe had acquired a certain degree of tacticsand unity of action, which was sufficient in itself to beardown all their enemies, independent of the immense powerthey had obtained from their quantity of firearms andalmost inexhaustible ammunition. All the other nationswere jealous of their strength and resources, and this Monsieur Violet ^^i jealousy being now worked up to its climax, they deter-mined to unite
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