Transversals Across Lines, Arcs and Circles
Diagrams of parallels, similar triangles and concentric-like circles (a, f, n, m, c)
This folio is almost entirely geometric diagrams with only fragmentary text. It shows parallel lines cut perpendicularly by a transverse, pairs of non-parallel lines whose transverse produces a triangle containing a smaller similar triangle, two non-concentric circles one inscribed in the other, and, near the outer edge, two arcs meeting at a point labeled c cut by a transverse at points a and f, with an inner parallel meeting it at n and m. The only lettering is the label sequence c, a, f, n, m and the start of a heading, 'Of the…'; further untranscribed text appears faintly across the page.
On this page
Parallel lines cut by a perpendicular transverse
At the top of the folio two parallel lines are crossed by a transverse line drawn perpendicularly over them, illustrating the case that yields equal interior angles.
Similar triangles from non-parallel lines
Two non-parallel lines meeting at an acute angle are cut by a transverse to form a triangle. A parallel to the lower line produces a smaller, similar triangle nested inside the first, with analytical points marked along the lines.
Two arcs meeting at c, cut at a and f (n, m inside)
Near the outer margin two arcs meet at a point labeled c. A transverse line crosses them at points a and f, forming a triangle, and a parallel to the lower arc produces a smaller similar figure meeting the transverse at n and the outer arc at m.
