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    Chapter 14

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    CHAPTER 14

    The next day, the 16th of April, and Easter Sunday, the settlers issued
    from the Chimneys at daybreak, and proceeded to wash their linen. The
    engineer intended to manufacture soap as soon as he could procure the
    necessary materials--soda or potash, fat or oil. The important question of
    renewing their wardrobe would be treated of in the proper time and place.
    At any rate their clothes would last at least six months longer, for they
    were strong, and could resist the wear of manual labor. But all would
    depend on the situation of the island with regard to inhabited land. This
    would be settled to-day if the weather permitted.

    The sun rising above a clear horizon, announced a magnificent day, one of
    those beautiful autumn days which are like the last farewells of the warm
    season.

    It was now necessary to complete the observations of the evening before
    by measuring the height of the cliff above the level of the sea.

    "Shall you not need an instrument similar to the one which you used
    yesterday?" said Herbert to the engineer.

    "No, my boy," replied the latter, "we are going to proceed differently,
    but in as precise a way."

    Herbert, wishing to learn everything he could, followed the engineer to
    the beach. Pencroft, Neb, and the reporter remained behind and occupied
    themselves in different ways.

    Cyrus Harding had provided himself with a straight stick, twelve feet
    long, which he had measured as exactly as possible by comparing it with his
    own height, which he knew to a hair. Herbert carried a plumb-line which
    Harding had given him, that is to say, a simple stone fastened to the end
    of a flexible fiber. Having reached a spot about twenty feet from the edge
    of the beach, and nearly five hundred feet from the cliff, which rose
    perpendicularly, Harding thrust the pole two feet into the sand, and
    wedging it up carefully, he managed, by means of the plumb-line, to erect
    it perpendicularly with the plane of the horizon.

    That done, he retired the necessary distance, when, lying on the sand,
    his eye glanced at the same time at the top of the pole and the crest of
    the cliff. He carefully marked the place with a little stick.

    Then addressing Herbert--"Do you know the first principles of geometry?"
    he asked.

    "Slightly, captain," replied Herbert, who did not wish to put himself

    forward.

    "You remember what are the properties of two similar triangles?"

    "Yes," replied Herbert; "their homologous sides are proportional."

    "Well, my boy, I have just constructed two similar right-angled
    triangles; the first, the smallest, has for its sides the perpendicular
    pole, the distance which separates the little stick from the foot of the
    pole and my visual ray
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