## Euclid's Elements, Book IV

 elem.4.1 Into a given circle to fit a straight line equal to a given straight line which is not greater than the diameter of the circle. f. 070 digilib elem.4.2 In a given circle to inscribe a triangle equiangular with a given triangle. f. 070 digilib elem.4.3 About a given circle to circumscribe a triangle equiangular with a given triangle. f. 071 digilib elem.4.4 In a given triangle to inscribe a circle. f. 071 digilib elem.4.5 About a given triangle to circumscribe a circle. f. 072 digilib elem.4.6 In a given circle to inscribe a square. f. 073 digilib elem.4.7 About a given circle to circumscribe a square. f. 073 digilib elem.4.8 In a given square to inscribe a circle. f. 074 digilib elem.4.9 About a given square to circumscribe a circle. f. 074 digilib elem.4.10 To construct an isosceles triangle having each of the angles at the base double of the remaining one. f. 075 digilib elem.4.11 In a given circle to inscribe an equilateral and equiangular pentagon. f. 075 digilib elem.4.12 About a given circle to circumscribe an equilateral and equiangular pentagon. f. 076 digilib elem.4.13 In a given pentagon, which is equilateral and equiangular, to inscribe a circle. f. 077 digilib elem.4.14 About a given pentagon, which is equilateral and equiangular, to circumscribe a circle. f. 078 digilib elem.4.15 In a given circle to inscribe an equilateral and equiangular hexagon. f. 078 digilib elem.4.16 In a given circle to inscribe a fifteen-angled figure which shall be both equilateral and equiangular. f. 080 digilib

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Published May 8, 2008. Copyright 2008, Clay Mathematics Institute Proposition 4.2 WWW claymath.org

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