A Collection of Sangaku Problems

• expression écrite
• expression écrite - matière potentielle : c.

–1– A Collection of Sangaku Problems J. Marshall Unger Department of East Asian Languages & Literatures The Ohio State University Version of 22 January 2012 PROBLEM 1: Given two lines tangent to circle (O) at B and C from a common point A, show that the circle passes through the incenter of triangle ABC.1 SOLUTION 1 (JMU): Since AB and AC are tangents, each of the base angles of the isosceles triangle ABC measures half of BOC, so the sum of half these angles is also half of BOC.

• tablet from miyagi
• point of tangency of the incircle of δacd 13 fukagawa
• o3
• altitude of the small triangle
• top of the square
• circles
• right triangle
• abc
• o2
• solution