Model cuts as polylines, not horizontal lines

Page 1 of Engel (Bosse/Partitura) has a boxed VERSE 1 label in the left
margin at the same rows as the preceding system's bass lyric line — ink
on both sides of the page throughout the band, so no horizontal line
separates them. The label belongs to system 2, the lyrics to system 1.

A cut is therefore a polyline spanning the page, two points being the
ordinary straight case. A slice bounded by a non-straight cut is not
rectangular: its image is the region's bounding box with everything
outside made transparent, which composites invisibly on the viewer's
sheet. Masking paints transparency, never white.

CONTEXT.md

@@ -20,9 +20,11 @@ _Avoid_: mode, format
 **Slice**:
 The atomic visual unit of a song — one *system*, one full line of music across
 all voices, typically 4–12 bars with lyrics intact. Same definition as noteman's.
-Structurally, a horizontal region of a page: a page begins as a single slice and
-each cut splits one slice into two, so slices always tile the page with no gaps
-and no overlap.
+Structurally, a region of a page bounded above and below by cuts: a page begins
+as a single slice and each cut splits one slice into two, so slices always tile
+the page with no gaps and no overlap. Rectangular when its cuts are straight,
+and stepped when they are not — the slice image is then its bounding box with
+everything outside the region transparent.
 _Avoid_: segment, strip, row, band
 
 **Discard**:
@@ -76,11 +78,16 @@ living unenforced in two repos, and a score with two codas simply works.
 _Avoid_: link, reference, pointer
 
 **Cut**:
-A horizontal line placed on a page that splits one slice into two. Straight at
-first; a later polyline form handles pages where systems slant or interleave.
-Placement is forgiving — anywhere inside the whitespace gap yields the same
-output, because trim crops to ink afterwards.
-_Avoid_: split, divider, break
+A boundary placed on a page that splits one slice into two. Modelled as a
+**polyline** spanning the page from left edge to right edge, with two points —
+a straight horizontal line — as the ordinary case. Extra vertices handle the
+common publisher habit of printing a section label (`VERSE 1`, `INTRO`) in the
+left margin at the same height as the previous system's lyrics: the cut steps
+above the label on the left and below the lyrics on the right.
+
+Placement along the boundary is forgiving — anywhere inside the whitespace yields
+the same output, because trim crops to ink afterwards.
+_Avoid_: split, divider, break, cut line
 
 **Content rectangle**:
 The region of a page that holds music. Set per PDF, adjustable per page, applied