BOOK IV. PROPOSITIONS.¶
Proposition IV.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.
Proposition IV.2
In a given circle to inscribe a triangle equiangular with a given triangle.
Proposition IV.3
About a given circle to circumscribe a triangle equiangular with a given triangle.
Proposition IV.4
In a given triangle to inscribe a circle.
Proposition IV.5
About a given triangle to circumscribe a circle.
Proposition IV.6
In a given circle to inscribe a square.
Proposition IV.7
About a given circle to circumscribe a square.
Proposition IV.8
In a given square to inscribe a circle.
Proposition IV.9
About a given square to circumscribe a circle.
Proposition IV.10
To construct an isosceles triangle having each of the angles at the base double of the remaining one.
Proposition IV.11
In a given circle to inscribe an equilateral and equiangular pentagon.
Proposition IV.12
About a given circle to circumscribe an equilateral and equiangular pentagon.
Proposition IV.13
In a given pentagon, which is equilateral and equiangular, to inscribe a circle.
Proposition IV.14
About a given pentagon, which is equilateral and equiangular, to circumscribe a circle.
Proposition IV.15
In a given circle to inscribe an equilateral and equiangular hexagon.
Proposition IV.16
In a given circle to inscribe a fifteen-angled figure which shall be both equilateral and equiangular.