diff --git a/crates/edit/src/tests.rs b/crates/edit/src/tests.rs
index 9e3079603..80bb0265c 100644
--- a/crates/edit/src/tests.rs
+++ b/crates/edit/src/tests.rs
@@ -3972,6 +3972,31 @@ fn turned_paragraph_keeps_its_line_breaks_when_a_word_is_added() {
     assert!(text::rewrite_block(&mut doc, 0, 0, Some("Only line"), &style).is_err());
 }
 
+/// A paragraph drawn at a slant rewraps at the width its rows have along their baseline, as the
+/// same paragraph upright does. Its upright bounding box turned into the baseline's frame is wider
+/// by the rows' height times |sin 2θ|, which let a word that doesn't fit stay on its row.
+#[test]
+fn a_paragraph_at_a_slant_rewraps_at_the_width_it_has_upright() {
+    let rows = ["Rotated paragraph, first row of text", "that continues on a second row and", "ends on the third row here."];
+    let draft = "Rotated paragraph, first row of text that continues on a second row and now carries a few extra words \
+        before it ends on the third row here.";
+    let rewrapped = |degrees: f64| {
+        let (sin, cos) = degrees.to_radians().sin_cos();
+        let shown = rows.iter().map(|r| format!("({r}) Tj")).collect::<Vec<_>>().join(" T* ");
+        let mut doc = text_page(&format!("BT /F1 12 Tf 14.4 TL {cos:.6} {sin:.6} {:.6} {cos:.6} 300 400 Tm {shown} ET", -sin));
+        let block = text::text_blocks(&doc, 0).unwrap().remove(0);
+        assert_eq!(block.editor_text, rows.join("\n"), "{degrees}°");
+        text::rewrite_block(&mut doc, 0, 0, Some(draft), &text::BlockStyle::default()).unwrap();
+        text::text_lines(&reopen(&doc), 0).unwrap().into_iter().map(|l| l.text).collect::<Vec<_>>()
+    };
+    let upright = rewrapped(0.0);
+    // The widest source row is 189.44 pt; "now carries a few extra words before" is 196.07 pt.
+    assert_eq!(upright[2], "now carries a few extra words", "{upright:?}");
+    for degrees in [30.0, 45.0, 60.0, 90.0, 135.0, 210.0, 330.0] {
+        assert_eq!(rewrapped(degrees), upright, "{degrees}°");
+    }
+}
+
 /// A paragraph in a Chrome-style subset font: `/W` leaves out the glyphs of the `/DW` width.
 /// Adding a word keeps every row as it was and shows the word in the page's own font (#1443).
 #[test]
diff --git a/crates/edit/src/text.rs b/crates/edit/src/text.rs
index 5f17b8c2f..59ad25e43 100644
--- a/crates/edit/src/text.rs
+++ b/crates/edit/src/text.rs
@@ -50,6 +50,10 @@ pub struct TextLine {
     pub visual_order: bool,
     /// The Japanese or Hebrew fallback face the font subsets, when the line is in one (see [`same_font`]).
     face: Option<String>,
+    /// Its box along and across its baseline, `[along0, across0, along1, across1]` (see
+    /// [`TextLine::frame_rect`]). Upright text has `rect`; turned text has its own box, which is
+    /// narrower than `rect` turned into the same frame.
+    frame: [f64; 4],
     /// The content stream piece the line starts in, and its operators (indices into the page's
     /// streams parsed joined).
     stream: usize,
@@ -470,12 +474,7 @@ impl TextLine {
 
     /// Its box in the same frame, `[along0, across0, along1, across1]` (for upright text, `rect`).
     fn frame_rect(&self) -> [f64; 4] {
-        let dir = self.direction();
-        let r = self.rect;
-        [(r[0], r[1]), (r[2], r[1]), (r[0], r[3]), (r[2], r[3])]
-            .into_iter()
-            .map(|p| to_frame(dir, p))
-            .fold([f64::MAX, f64::MAX, f64::MIN, f64::MIN], |b, p| [b[0].min(p.0), b[1].min(p.1), b[2].max(p.0), b[3].max(p.1)])
+        self.frame
     }
 }
 
@@ -493,6 +492,11 @@ fn to_frame(dir: (f64, f64), p: (f64, f64)) -> (f64, f64) {
     (p.0 * dir.0 + p.1 * dir.1, p.1 * dir.0 - p.0 * dir.1)
 }
 
+/// The box covering both `[x0, y0, x1, y1]` boxes.
+fn union(a: [f64; 4], b: [f64; 4]) -> [f64; 4] {
+    [a[0].min(b[0]), a[1].min(b[1]), a[2].max(b[2]), a[3].max(b[3])]
+}
+
 /// What replacing a line did.
 #[derive(Clone, Debug, PartialEq)]
 pub struct LineEdit {
@@ -639,6 +643,8 @@ struct Shown {
     bt_state: Ts,
     text: String,
     rect: [f64; 4],
+    /// Its box along and across its baseline (see [`TextLine::frame`]).
+    frame: [f64; 4],
     /// The boxes of its words (see [`TextLine::ink`]).
     ink: Vec<[f64; 4]>,
     baseline: f64,
@@ -773,6 +779,7 @@ fn interpret(
                                 first.rect[2].max(shown.rect[2]),
                                 first.rect[3].max(shown.rect[3]),
                             ];
+                            first.frame = union(first.frame, shown.frame);
                             first.ink.extend(shown.ink);
                         }
                         first.extra_ops.extend([open, i]);
@@ -936,6 +943,13 @@ fn interpret(
                 let rect = corners
                     .iter()
                     .fold([f64::MAX, f64::MAX, f64::MIN, f64::MIN], |b, p| [b[0].min(p.0), b[1].min(p.1), b[2].max(p.0), b[3].max(p.1)]);
+                // The same corners along and across the baseline: the run's own box, not its
+                // upright bounding box turned (which is wider by the box's height on a slant).
+                let dir = direction(&trm0);
+                let frame = corners
+                    .iter()
+                    .map(|&p| to_frame(dir, p))
+                    .fold([f64::MAX, f64::MAX, f64::MIN, f64::MIN], |b, p| [b[0].min(p.0), b[1].min(p.1), b[2].max(p.0), b[3].max(p.1)]);
                 let ink = words
                     .iter()
                     .map(|&(a, b)| {
@@ -963,6 +977,7 @@ fn interpret(
                     bt_state: at_bt.1.clone(),
                     text,
                     rect,
+                    frame,
                     ink,
                     baseline: start.1,
                     start_x: start.0,
@@ -1040,6 +1055,7 @@ pub fn text_lines(doc: &Document, page: usize) -> Result<Vec<TextLine>, EditErro
             }
             l.text.push_str(&s.text);
             l.rect = [l.rect[0].min(s.rect[0]), l.rect[1].min(s.rect[1]), l.rect[2].max(s.rect[2]), l.rect[3].max(s.rect[3])];
+            l.frame = union(l.frame, s.frame);
             l.ink.extend(s.ink.iter().copied());
             l.ops.push(s.op);
             l.ops.extend(s.extra_ops.iter().copied());
@@ -1051,6 +1067,7 @@ pub fn text_lines(doc: &Document, page: usize) -> Result<Vec<TextLine>, EditErro
             lines.push(TextLine {
                 text: s.text.clone(),
                 rect: s.rect,
+                frame: s.frame,
                 ink: s.ink.clone(),
                 font: String::from_utf8_lossy(&s.font).into_owned(),
                 base_font: s.base_font.clone(),
@@ -1128,6 +1145,7 @@ fn add_shown(lines: &mut Vec<TextLine>, last: &mut Option<Pen>, s: Shown, stream
         }
         l.text.push_str(&s.text);
         l.rect = [l.rect[0].min(s.rect[0]), l.rect[1].min(s.rect[1]), l.rect[2].max(s.rect[2]), l.rect[3].max(s.rect[3])];
+        l.frame = union(l.frame, s.frame);
         l.ink.extend(s.ink.iter().copied());
         l.ops.push(s.op);
         l.ops.extend(s.extra_ops.iter().copied());
@@ -1138,6 +1156,7 @@ fn add_shown(lines: &mut Vec<TextLine>, last: &mut Option<Pen>, s: Shown, stream
         lines.push(TextLine {
             text: s.text.clone(),
             rect: s.rect,
+            frame: s.frame,
             ink: s.ink.clone(),
             font: String::from_utf8_lossy(&s.font).into_owned(),
             base_font: s.base_font.clone(),
diff --git a/crates/edit/src/text_regions.rs b/crates/edit/src/text_regions.rs
index 9e0ba2802..8e34e0bdf 100644
--- a/crates/edit/src/text_regions.rs
+++ b/crates/edit/src/text_regions.rs
@@ -17,10 +17,6 @@ fn same_plane(a: &TextLine, b: &TextLine) -> bool {
         })
 }
 
-fn union(a: [f64; 4], b: [f64; 4]) -> [f64; 4] {
-    [a[0].min(b[0]), a[1].min(b[1]), a[2].max(b[2]), a[3].max(b[3])]
-}
-
 fn row_rect(row: &[usize], lines: &[TextLine]) -> Option<[f64; 4]> {
     row.iter().filter_map(|i| lines.get(*i)).map(|l| l.rect).reduce(union)
 }