Book:Euclid/The Elements/Book IV
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Euclid: The Elements: Book IV
Published $\text {c. 300 B.C.E}$
Contents
Book $\text{IV}$: Circles: Inscription and Circumscription
- Proposition $1$: Fitting Chord Into Circle
- Proposition $2$: Inscribing in Circle Triangle Equiangular with Given
- Proposition $3$: Circumscribing about Circle Triangle Equiangular with Given
- Proposition $4$: Inscribing Circle in Triangle
- Proposition $5$: Circumscribing Circle about Triangle
- Proposition $6$: Inscribing Square in Circle
- Proposition $7$: Circumscribing Square about Circle
- Proposition $8$: Inscribing Circle in Square
- Proposition $9$: Circumscribing Circle about Square
- Proposition $10$: Construction of Isosceles Triangle whose Base Angle is Twice Apex
- Proposition $11$: Inscribing Regular Pentagon in Circle
- Proposition $12$: Circumscribing Regular Pentagon about Circle
- Proposition $13$: Inscribing Circle in Regular Pentagon
- Proposition $14$: Circumscribing Circle about Regular Pentagon
- Proposition $15$: Inscribing Regular Hexagon in Circle
- Proposition $16$: Inscribing Regular 15-gon in Circle
Sources
- 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {A}.4$: Euclid (flourished ca. $300$ B.C.)