Hand book of Calculations for Engineers And Firemen Relating to the Steam Engin

Hawkins, N. (Nehemiah), 1833-

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GEOMETRICAL PROBLEMS.
PEOBLEM X. Tlirougli two given points to describe an arc of a circle with a given radius, Fi 82. On the points A and B as centers, ath. The given radius, describe arcs cutting at C; and from C, with the same radius, describe an arc A B as re- quired.
Fig. 82.
Second, for a circle or an arc, Fig. 83. Select three points A B (7 in the circum- ference, well apart; with the same radius; describe arcs from these three points cut- ting each other, and draw two lines D E, F G, th...rough their intersections accord- ing to Fig. 68. The point where they cut is the center of the circle or arc.
Fig. 83.
PEOBLEM XI. To describe a circle passing through three given points. Fig. 83. Let A B C be the given points and proceed as in last problem to find the center 0, from which the circle may be described.
NOTE.
This problem is variously useful: in finding the diameter of a large fly wheel, or any other object of large diameter when only a part of the circumference is accessible; in striking out arches when the span and rise are given, etc.

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