Euclid's Elements
Book IV
Book IV Propositions
-
Proposition 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 2.
- In a given circle to inscribe a triangle equiangular with a given triangle.
-
Proposition 3.
- About a given circle to circumscribe a triangle equiangular with a given triangle.
-
Proposition 4.
- In a given triangle to inscribe a circle.
-
Proposition 5.
- About a given triangle to circumscribe a circle.
-
Proposition 6.
- In a given circle to inscribe a square.
-
Proposition 7.
- About a given circle to circumscribe a square.
-
Proposition 8.
- In a given square to inscribe a circle.
-
Proposition 9.
- About a given square to circumscribe a circle.
-
Proposition 10.
- To construct an isosceles triangle having each of the angles at the base double of the remaining one.
-
Proposition 11.
- In a given circle to inscribe an equilateral and equiangular pentagon.
-
Proposition 12.
- About a given circle to circumscribe an equilateral and equiangular pentagon.
-
Proposition 13.
- In a given pentagon, which is equilateral and equiangular, to inscribe a circle.
-
Proposition 14.
- About a given pentagon, which is equilateral and equiangular, to circumscribe a circle.
-
Proposition 15.
- In a given circle to inscribe an equilateral and equiangular hexagon.
-
Proposition 16.
- In a given circle to inscribe a fifteen-angled figure which shall be both equilateral and equiangular.
Contents and Introduction
Book IV Definitions
Top of Page
|