Chapter Iv. Roof Frame: Any Polygon 69

30. Tangents; miter cuts of plate; 31. Octagonal roofs; 32. Common rafter for plate of any number of sides; 33. Hip and valley rafters for octagon and other polygons; 34. Plumb cut of octagonal and other polygonal hips and valleys; 35. Side or cheek cuts of hip or valley rafters, any polygon; 36. Rafter lengths of octagonal and other polygonal hips and valleys; 37. Reductions in lengths for king-post; 38. Seat cut and end cut of octagonal and other polygonal hips and valleys; 39. Backing octagonal and other hips; 40. Framing octagonal and other polygonal jacks; 41. Side cut of octagonal and other polygonal jacks; 42. Lengths of octagonal and other polygonal jacks; 43. Framing by means of a protractor; 44. Translating framing problems from protractor to framing square and vice versa; 45. Framing an octagon bay; 46. Framing a roof of one pitch to another of different pitch; 47. Framing roof of uneven pitch; 48. Decks; chimney openings.