Elementary plane geometry : inductive and deductive / by Alfred Baker . The Cikcle, Its Symmetry, Tangents, Etc. 75 pencil end at A, and describe a circle, it will also passthrough B. We thus get an unlimited number ofcircles through A and B, all of which have theh centresat different points on CD. Draw a line AB of 50 millimetres, and describe circlespassing through A and B, with radii 30, 40, 50 and 60millimetres. 6. We can readily ob-tain a method for de-scribing a circle to passthrough any three points: Let A, B, C be the threepoints. Draw DO from themiddle point of AB at rightangles to it
Elementary plane geometry : inductive and deductive / by Alfred Baker . The Cikcle, Its Symmetry, Tangents, Etc. 75 pencil end at A, and describe a circle, it will also passthrough B. We thus get an unlimited number ofcircles through A and B, all of which have theh centresat different points on CD. Draw a line AB of 50 millimetres, and describe circlespassing through A and B, with radii 30, 40, 50 and 60millimetres. 6. We can readily ob-tain a method for de-scribing a circle to passthrough any three points: Let A, B, C be the threepoints. Draw DO from themiddle point of AB at rightangles to it ; and draw EOfrom the middle point of BC at right angles to all points in DO are equally distant from A andB; and all points in EO are equally distant from B andC. Hence 0 is equally distant from A, B and C; andplacing the sharp point of the compasses at 0 andthe pencil end at A, and describing a circle, it willpass through B and C, if the construction has beenaccurate. AB is 1 inch, BC is 2 inches, and angle ABC is a circle to pass through A, B
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Keywords: ., bookcentury1900, bookdecade1900, bookpublishertoron, bookyear1903
