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Consider 4 circles S1, S2, S3, S4. Suppose that S1, S2 intersect at A1 and A2, circles S2, S3 intersect at Bi and B2, circles S3, S4 intersect at Ci and C2, and circles S4, S1 intersect at D1 and D2. Suppose furthermore that the points A1, Prove that the points A2, B2, C2, D2 B1, C1, D1 are on a circle S (or on a line) are also on a circle (or on a line).

Consider 4 circles S1, S2, S3, S4. Suppose that S1, S2 intersect at A1 and A2, circles S2, S3 intersect at Bi and B2, circles S3, S4 intersect at Ci and C2, and circles S4, S1 intersect at D1 and D2. Suppose furthermore that the points A1, Prove that the points A2, B2, C2, D2 B1, C1, D1 are on a circle S (or on a line) are also on a circle (or on a line).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider 4 circles S1, S2, S3, S4. Suppose that S1, S2 intersect at A1 and A2, circles S2, S3 intersect at Bi and B2, circles S3, S4 intersect at Ci and C2, and circles S4, S1 intersect at D1 and D2. Suppose furthermore that the points A1, Prove that the points A2, B2, C2, D2 B1, C1, D1 are on a circle S (or on a line) are also on a circle (or on a line).
Transcribed Image Text:Consider 4 circles S1, S2, S3, S4. Suppose that S1, S2 intersect at A1 and A2, circles S2, S3 intersect at Bi and B2, circles S3, S4 intersect at Ci and C2, and circles S4, S1 intersect at D1 and D2. Suppose furthermore that the points A1, Prove that the points A2, B2, C2, D2 B1, C1, D1 are on a circle S (or on a line) are also on a circle (or on a line).
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