Civil War Field Fortifications Website

Construct A Circle Through Three Points

This construction can be quite useful in locating the position of accessory field work inside a larger field fortification; or in the study of field fortifications, in testing the relative distances between ramps leading to a parapet and the galleries of magazines or bomb-proof structures, which says something about the general accessibility of interior works to the fighting surfaces of a fortification.

Given three widely dispersed points (A, B, and C) construct a circle the circumference of which passes neatly through all three given points.

Produce two right lines that connect the three points, A to B and B to C.

Bisect both Line AB (with Line DE) and Line BC (with Line FG). Note that these bisecting lines (DE and FG) should intersect each other.

Mark the point where Line DE intersects Line FG as Point O. This will be the center point of the required circle.

Using Point O as center describe a circle with a radius equal to the distance between Point O and any of the three other Points (A, B, or C).

All three given points should be on the circumference of Circle O.

~ An Instructive Animation Wherein the Foregoing Construction is Visually Explained ~

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