Geometrical Problems. Plate VI. How To Describe An Arc Or Circumference Through Three Given Points Not In The Same Straight Line
Description
This section is from the book "Modern Shop Practice", by Howard Monroe Raymond. Also available from Amazon: Modern Shop Practice.
Geometrical Problems. Plate VI. How To Describe An Arc Or Circumference Through Three Given Points Not In The Same Straight Line
Penciling
Lay out this plate in the same manner as the preceding plates.
Problem 13. How To Describe An Arc Or Circumference Through Three Given Points Not In The Same Straight Line
Locate the three points A, B, and C with a distance between A and B of about 2 inches and a distance between A and C of about 2 1/4 inches. Connect A and B and A and C. Erect perpendiculars to the middle points of A B and A C as explained in Problem 1. Now draw light pencil lines connecting the intersections I and J and E and F. These lines will intersect at 0.
With 0 as a center and a radius equal to the distance 0 A, describe the circumference passing through A, B, and C.
Proof
The point 0 is equally distant from A, B, and C, since it lies in the perpendiculars to the middle points of A B and A C. Hence the circumference will pass through A, B, and C.
Continue to:
My Books
