diff --git a/crates/eps/src/import/ate.rs b/crates/eps/src/import/ate.rs
index 0e950176..147b320a 100644
--- a/crates/eps/src/import/ate.rs
+++ b/crates/eps/src/import/ate.rs
@@ -666,6 +666,35 @@ impl Story {
         Some(Node::new(id, NodeKind::Text(Box::new(t))))
     }
 
+    /// Area type that the file lays lines out in, in a frame too short for its first line as it is
+    /// laid out here: a font that isn't available shows in the fallback font, whose lines may be
+    /// taller, and type that doesn't fit its frame isn't drawn. The frame is made taller, from its
+    /// top, by what the first line needs. Whether it was.
+    pub(super) fn fit_first_line(&self, t: &mut TextObject) -> bool {
+        let TextKind::Area { frame } = &t.kind else { return false };
+        let db = vectorcraft_text::FontDb::global();
+        let Some(b) = frame.bounds().filter(|b| b.height() > 1e-6 && !self.lines.is_empty()) else { return false };
+        if !vectorcraft_text::layout(db, t).lines.is_empty() {
+            return false;
+        }
+        // The height of its first line: the line's as point type.
+        let point = TextObject { kind: TextKind::Point, ..t.clone() };
+        let Some(need) = vectorcraft_text::layout(db, &point).lines.first().map(|l| l.ascent + l.descent) else { return false };
+        // (A little more than it, for the rounding of the layout.)
+        let by = (need + 0.05) / b.height();
+        if !(by.is_finite() && by > 1.0) {
+            return false;
+        }
+        let taller = frame.transformed(Affine::translate((0.0, b.y0)) * Affine::scale_non_uniform(1.0, by) * Affine::translate((0.0, -b.y0)));
+        let short = std::mem::replace(&mut t.kind, TextKind::Area { frame: taller });
+        // Something else keeps the line out (a frame narrower than a letter): as the file has it.
+        if vectorcraft_text::layout(db, t).lines.is_empty() {
+            t.kind = short;
+            return false;
+        }
+        true
+    }
+
     /// The leading the file's own line positions imply: the distance from one line to the next, less
     /// the space between paragraphs that is part of it (a paragraph's space after and the next one's
     /// space before; a layout's lines are where that space has put them, and the text object adds it
@@ -860,4 +889,30 @@ mod tests {
         // One line has no distance to read.
         assert_eq!(story("one\r", &[0.0], &Para::default()).line_leading(1.0), None);
     }
+
+    #[test]
+    fn a_frame_too_short_for_its_first_line_is_made_taller() {
+        // A heading in a frame as tall as its size: a line of the font it shows in here is taller.
+        let s = story("Heading\r", &[0.0], &Para::default());
+        let area = |height: f64| {
+            let mut t = TextObject::point(Point::ZERO, "Heading", CharStyle { size: 13.0, ..CharStyle::default() });
+            t.kind = TextKind::Area { frame: vectorcraft_geom::shapes::rectangle(Rect::new(10.0, 20.0, 210.0, 20.0 + height)) };
+            t
+        };
+        let height =
+            |t: &TextObject| if let TextKind::Area { frame } = &t.kind { frame.bounds().map(|b| (b.x0, b.y0, b.x1, b.height())) } else { None };
+        let lines = |t: &TextObject| vectorcraft_text::layout(vectorcraft_text::FontDb::global(), t).lines.len();
+        let mut t = area(13.0);
+        assert_eq!(lines(&t), 0, "nothing of it shows");
+        assert!(s.fit_first_line(&mut t));
+        let (x0, y0, x1, h) = height(&t).unwrap();
+        assert!((x0, y0, x1) == (10.0, 20.0, 210.0) && h > 13.0 && h < 26.0, "taller from its top: {h}");
+        assert_eq!(lines(&t), 1);
+        // A frame that holds the line stays as it is; so does one the file lays no line out in
+        // (its type is overset in the file too).
+        let mut t = area(40.0);
+        assert!(!s.fit_first_line(&mut t) && height(&t).unwrap().3 == 40.0);
+        let mut t = area(13.0);
+        assert!(!story("Heading\r", &[], &Para::default()).fit_first_line(&mut t) && height(&t).unwrap().3 == 13.0);
+    }
 }
diff --git a/crates/eps/src/import/native.rs b/crates/eps/src/import/native.rs
index 8d416f66..40ffc6e7 100644
--- a/crates/eps/src/import/native.rs
+++ b/crates/eps/src/import/native.rs
@@ -475,6 +475,7 @@ fn plan(
     let mut content: Vec<Content> = infos.iter().map(|_| Content::Empty).collect();
     // Where the made type that doesn't show lies, by slot.
     let mut hidden_at: Vec<(usize, Rect)> = vec![];
+    let mut taller = 0;
     if let Some(t) = template {
         for (k, info) in infos.iter().enumerate() {
             let Some(Some(story)) = stories.get(k) else { continue };
@@ -499,11 +500,21 @@ fn plan(
             if let (false, Some(r)) = (info.shown, region) {
                 hidden_at.push((k, r));
             }
+            if let NodeKind::Text(text) = &mut node.kind
+                && story.fit_first_line(text)
+            {
+                taller += 1;
+            }
             if let Some(c) = content.get_mut(k) {
                 *c = Content::Made(Box::new(node), region.filter(|_| info.shown), false, vec![]);
             }
         }
     }
+    if taller > 0 {
+        warn.push(format!(
+            "area type in frames too short for a line of the font it shows in got taller frames ({taller}): their type wouldn't show otherwise"
+        ));
+    }
     // The file's text document is trusted where it agrees with the page about something (its lines
     // start where the page's type does, or the page has type where it lays type out), or where the
     // page has no type to disagree with.
diff --git a/crates/ui-egui/src/i18n/cs.tsv b/crates/ui-egui/src/i18n/cs.tsv
index c3fd1ecf..c25d957a 100644
--- a/crates/ui-egui/src/i18n/cs.tsv
+++ b/crates/ui-egui/src/i18n/cs.tsv
@@ -4129,6 +4129,7 @@ effect	Regular	Pravidelný
 @msg	an image VectorCraft can't read was left out	obrázek, který VectorCraft neumí přečíst, byl vynechán
 @msg	an image whose data is cut short was left out	obrázek s useknutými daty byl vynechán
 @msg	linked pictures show the low-resolution preview saved in the file until their files are found: relink them in the Links panel	propojené obrázky se zobrazují jako náhled v nízkém rozlišení uložený v souboru, dokud se nenajdou jejich soubory: znovu je propojte v panelu Propojení
+@msg	area type in frames too short for a line of the font it shows in got taller frames ({_1}): their type wouldn't show otherwise	text v oblasti v rámcích příliš nízkých pro řádek písma, ve kterém se zde zobrazuje, dostal vyšší rámce ({_1}): jinak by nebyl vidět
 @msg	its editing data doesn't say where its art is	z jeho dat pro úpravy není zřejmé, kde je kresba
 @msg	this file was saved without PDF compatibility, and its editing data can't be read ({why})	tento soubor byl uložen bez kompatibility s PDF a jeho data pro úpravy nelze přečíst ({why})
 @msg	No fonts are missing in this document	V tomto dokumentu nechybí žádná písma
diff --git a/crates/ui-egui/src/i18n/de.tsv b/crates/ui-egui/src/i18n/de.tsv
index ca5714ed..e889bcee 100644
--- a/crates/ui-egui/src/i18n/de.tsv
+++ b/crates/ui-egui/src/i18n/de.tsv
@@ -3844,6 +3844,7 @@ theme	Appearance	Erscheinungsbild
 @msg	an image VectorCraft can't read was left out	ein Bild, das VectorCraft nicht lesen kann, wurde ausgelassen
 @msg	an image whose data is cut short was left out	ein Bild mit abgeschnittenen Daten wurde ausgelassen
 @msg	linked pictures show the low-resolution preview saved in the file until their files are found: relink them in the Links panel	verknüpfte Bilder zeigen die in der Datei gespeicherte Vorschau in niedriger Auflösung, bis ihre Dateien gefunden werden: Verknüpfen Sie sie im Bedienfeld „Verknüpfungen“ neu
+@msg	area type in frames too short for a line of the font it shows in got taller frames ({_1}): their type wouldn't show otherwise	Flächentext in Rahmen, die für eine Zeile der Schrift, in der er hier erscheint, zu niedrig sind, hat höhere Rahmen bekommen ({_1}): Sonst wäre der Text nicht zu sehen
 @msg	its editing data doesn't say where its art is	seine Bearbeitungsdaten geben nicht an, wo seine Grafik liegt
 @msg	this file was saved without PDF compatibility, and its editing data can't be read ({why})	diese Datei wurde ohne PDF-Kompatibilität gespeichert, und ihre Bearbeitungsdaten können nicht gelesen werden ({why})
 @msg	No fonts are missing in this document	In diesem Dokument fehlen keine Schriften
diff --git a/crates/ui-egui/src/i18n/es.tsv b/crates/ui-egui/src/i18n/es.tsv
index fe95a802..1f7716f2 100644
--- a/crates/ui-egui/src/i18n/es.tsv
+++ b/crates/ui-egui/src/i18n/es.tsv
@@ -3944,6 +3944,7 @@ axis	Both	Ambos
 @msg	an image VectorCraft can't read was left out	se omitió una imagen que VectorCraft no puede leer
 @msg	an image whose data is cut short was left out	se omitió una imagen con datos incompletos
 @msg	linked pictures show the low-resolution preview saved in the file until their files are found: relink them in the Links panel	las imágenes vinculadas muestran la vista previa de baja resolución guardada en el archivo hasta que se encuentren sus archivos: vuelva a vincularlas en el panel Vínculos
+@msg	area type in frames too short for a line of the font it shows in got taller frames ({_1}): their type wouldn't show otherwise	el texto de área en marcos demasiado bajos para una línea de la fuente en que se muestra recibió marcos más altos ({_1}): de otro modo no se vería
 @msg	its editing data doesn't say where its art is	sus datos de edición no dicen dónde está su ilustración
 @msg	this file was saved without PDF compatibility, and its editing data can't be read ({why})	este archivo se guardó sin compatibilidad con PDF y sus datos de edición no se pueden leer ({why})
 @msg	No fonts are missing in this document	No faltan fuentes en este documento
diff --git a/crates/ui-egui/src/i18n/fr.tsv b/crates/ui-egui/src/i18n/fr.tsv
index eb0193ef..22ac83f9 100644
--- a/crates/ui-egui/src/i18n/fr.tsv
+++ b/crates/ui-egui/src/i18n/fr.tsv
@@ -3941,6 +3941,7 @@ axis	Both	Les deux
 @msg	an image VectorCraft can't read was left out	une image que VectorCraft ne peut pas lire a été ignorée
 @msg	an image whose data is cut short was left out	une image aux données tronquées a été ignorée
 @msg	linked pictures show the low-resolution preview saved in the file until their files are found: relink them in the Links panel	les images liées affichent l’aperçu basse résolution enregistré dans le fichier tant que leurs fichiers ne sont pas trouvés : liez-les à nouveau dans le panneau Liens
+@msg	area type in frames too short for a line of the font it shows in got taller frames ({_1}): their type wouldn't show otherwise	le texte captif dans des cadres trop bas pour une ligne de la police dans laquelle il s’affiche a reçu des cadres plus hauts ({_1}) : il ne s’afficherait pas autrement
 @msg	its editing data doesn't say where its art is	ses données d’édition ne disent pas où se trouve son illustration
 @msg	this file was saved without PDF compatibility, and its editing data can't be read ({why})	ce fichier a été enregistré sans compatibilité PDF et ses données d’édition sont illisibles ({why})
 @msg	No fonts are missing in this document	Aucune police ne manque dans ce document
diff --git a/crates/ui-egui/src/i18n/hu.tsv b/crates/ui-egui/src/i18n/hu.tsv
index 6c52b398..22354688 100644
--- a/crates/ui-egui/src/i18n/hu.tsv
+++ b/crates/ui-egui/src/i18n/hu.tsv
@@ -4028,6 +4028,7 @@ theme	Appearance	Kinézet
 @msg	an image VectorCraft can't read was left out	kimaradt egy kép, amelyet a VectorCraft nem tud olvasni
 @msg	an image whose data is cut short was left out	kimaradt egy csonka adatú kép
 @msg	linked pictures show the low-resolution preview saved in the file until their files are found: relink them in the Links panel	a csatolt képek a fájlban mentett kis felbontású előnézetet mutatják, amíg a fájljaik elő nem kerülnek: csatolja őket újra a Csatolások panelen
+@msg	area type in frames too short for a line of the font it shows in got taller frames ({_1}): their type wouldn't show otherwise	a túl alacsony keretben lévő területszöveg, amelybe a megjelenítő betűtípus egy sora sem fér el, magasabb keretet kapott ({_1}): különben nem látszana
 @msg	an object can't be read	egy objektum nem olvasható
 @msg	an object in perspective would leave the edited grid	egy perspektivikus objektum kikerülne a szerkesztett rácsból
 @msg	anchor must name a registered panel	az anchor egy regisztrált panelt kell megnevezzen
diff --git a/crates/ui-egui/src/i18n/it.tsv b/crates/ui-egui/src/i18n/it.tsv
index 8c3f3e86..23ccf705 100644
--- a/crates/ui-egui/src/i18n/it.tsv
+++ b/crates/ui-egui/src/i18n/it.tsv
@@ -3944,6 +3944,7 @@ axis	Both	Entrambi
 @msg	an image VectorCraft can't read was left out	un'immagine che VectorCraft non può leggere è stata omessa
 @msg	an image whose data is cut short was left out	un'immagine con dati incompleti è stata omessa
 @msg	linked pictures show the low-resolution preview saved in the file until their files are found: relink them in the Links panel	le immagini collegate mostrano l'anteprima a bassa risoluzione salvata nel file finché i loro file non vengono trovati: ricollegale nel pannello Collegamenti
+@msg	area type in frames too short for a line of the font it shows in got taller frames ({_1}): their type wouldn't show otherwise	il testo in area in cornici troppo basse per una riga del font in cui viene mostrato ha ricevuto cornici più alte ({_1}): altrimenti non sarebbe visibile
 @msg	its editing data doesn't say where its art is	i suoi dati di modifica non dicono dove si trova la grafica
 @msg	this file was saved without PDF compatibility, and its editing data can't be read ({why})	questo file è stato salvato senza compatibilità PDF e i suoi dati di modifica non si possono leggere ({why})
 @msg	No fonts are missing in this document	In questo documento non mancano font
diff --git a/crates/ui-egui/src/i18n/ja.tsv b/crates/ui-egui/src/i18n/ja.tsv
index 37f98cda..0e72f49c 100644
--- a/crates/ui-egui/src/i18n/ja.tsv
+++ b/crates/ui-egui/src/i18n/ja.tsv
@@ -3680,6 +3680,7 @@ theme	Appearance	外観
 @msg	an image VectorCraft can't read was left out	VectorCraft で読み込めない画像は除外されました
 @msg	an image whose data is cut short was left out	データが途中で切れている画像は除外されました
 @msg	linked pictures show the low-resolution preview saved in the file until their files are found: relink them in the Links panel	リンク画像は、元のファイルが見つかるまで、ファイルに保存された低解像度のプレビューで表示されます：リンクパネルで再リンクしてください
+@msg	area type in frames too short for a line of the font it shows in got taller frames ({_1}): their type wouldn't show otherwise	表示に使われるフォントの 1 行に対して低すぎるフレーム内のエリア内文字は、フレームを高くしました ({_1}): そうしないと文字が表示されません
 @msg	gradient “{name}” isn't defined in the file: a plain colour stands in for it	グラデーション「{name}」はファイル内で定義されていません: 代わりに単色を使用しています
 @msg	objects with several fills or strokes, effects or brushes came in as their drawn look ({_1}): their appearance isn't editable yet	塗りや線が複数ある、または効果やブラシを適用したオブジェクト {_1} 個は見た目のまま読み込まれました: アピアランスはまだ編集できません
 @msg	patterns nested too deeply are filled with mid-grey	入れ子が深すぎるパターンは中間のグレーで塗りつぶされています
diff --git a/crates/ui-egui/src/i18n/ko.tsv b/crates/ui-egui/src/i18n/ko.tsv
index 2b6924d2..b9754ed9 100644
--- a/crates/ui-egui/src/i18n/ko.tsv
+++ b/crates/ui-egui/src/i18n/ko.tsv
@@ -3658,6 +3658,7 @@ theme	Appearance	외관
 @msg	an image VectorCraft can't read was left out	VectorCraft가 읽을 수 없는 이미지는 제외했습니다
 @msg	an image whose data is cut short was left out	데이터가 잘린 이미지는 제외했습니다
 @msg	linked pictures show the low-resolution preview saved in the file until their files are found: relink them in the Links panel	연결된 그림은 해당 파일을 찾을 때까지 파일에 저장된 저해상도 미리 보기로 표시됩니다: 링크 패널에서 다시 연결하세요
+@msg	area type in frames too short for a line of the font it shows in got taller frames ({_1}): their type wouldn't show otherwise	표시되는 글꼴의 한 줄보다 낮은 프레임의 영역 문자는 프레임을 더 높였습니다({_1}). 그렇지 않으면 문자가 표시되지 않습니다
 @msg	gradient “{name}” isn't defined in the file: a plain colour stands in for it	그레이디언트 “{name}”이(가) 파일에 정의되어 있지 않아 단색으로 대체했습니다
 @msg	objects with several fills or strokes, effects or brushes came in as their drawn look ({_1}): their appearance isn't editable yet	칠이나 선이 여러 개인 개체, 효과, 브러시가 있는 개체는 그려진 모양({_1})으로 가져왔습니다: 모양새는 아직 편집할 수 없습니다
 @msg	patterns nested too deeply are filled with mid-grey	너무 깊게 중첩된 패턴은 중간 회색으로 채웁니다
diff --git a/crates/ui-egui/src/i18n/ru.tsv b/crates/ui-egui/src/i18n/ru.tsv
index 75234821..4f8f17fa 100644
--- a/crates/ui-egui/src/i18n/ru.tsv
+++ b/crates/ui-egui/src/i18n/ru.tsv
@@ -3940,6 +3940,7 @@ axis	Both	Оба
 @msg	an image VectorCraft can't read was left out	изображение, которое VectorCraft не может прочитать, пропущено
 @msg	an image whose data is cut short was left out	изображение с обрезанными данными пропущено
 @msg	linked pictures show the low-resolution preview saved in the file until their files are found: relink them in the Links panel	связанные изображения показываются как сохранённый в файле просмотр низкого разрешения, пока их файлы не найдены: восстановите связи на панели «Связи»
+@msg	area type in frames too short for a line of the font it shows in got taller frames ({_1}): their type wouldn't show otherwise	текст в области в рамках, слишком низких для строки шрифта, которым он отображается, получил более высокие рамки ({_1}): иначе он не был бы виден
 @msg	its editing data doesn't say where its art is	в его данных редактирования не указано, где находится графика
 @msg	this file was saved without PDF compatibility, and its editing data can't be read ({why})	этот файл сохранён без совместимости с PDF, и его данные редактирования не удаётся прочитать ({why})
 @msg	No fonts are missing in this document	В этом документе нет отсутствующих шрифтов
diff --git a/crates/ui-egui/src/i18n/uk.tsv b/crates/ui-egui/src/i18n/uk.tsv
index b55044ea..b634b79f 100644
--- a/crates/ui-egui/src/i18n/uk.tsv
+++ b/crates/ui-egui/src/i18n/uk.tsv
@@ -3928,6 +3928,7 @@ axis	Both	Обидві
 @msg	an image VectorCraft can't read was left out	зображення, яке VectorCraft не може прочитати, пропущено
 @msg	an image whose data is cut short was left out	зображення з обрізаними даними пропущено
 @msg	linked pictures show the low-resolution preview saved in the file until their files are found: relink them in the Links panel	пов’язані зображення показуються як збережений у файлі перегляд низької роздільності, доки їхні файли не знайдено: відновіть зв’язки на панелі «Зв’язки»
+@msg	area type in frames too short for a line of the font it shows in got taller frames ({_1}): their type wouldn't show otherwise	текст в області в рамках, занизьких для рядка шрифту, яким він показується, отримав вищі рамки ({_1}): інакше його не було б видно
 @msg	its editing data doesn't say where its art is	у даних редагування не зазначено, де знаходиться графіка
 @msg	this file was saved without PDF compatibility, and its editing data can't be read ({why})	цей файл збережений без сумісності з PDF, і його дані редагування не вдається прочитати ({why})
 @msg	No fonts are missing in this document	У цьому документі немає відсутніх шрифтів
diff --git a/crates/ui-egui/src/i18n/zh-hans.tsv b/crates/ui-egui/src/i18n/zh-hans.tsv
index 7165eb80..1cfbfb57 100644
--- a/crates/ui-egui/src/i18n/zh-hans.tsv
+++ b/crates/ui-egui/src/i18n/zh-hans.tsv
@@ -2937,6 +2937,7 @@
 	{count} linked image(s) changed on disk. Show the new versions?	有 {count} 个链接图像已在磁盘上更改。要显示新版本吗？
 @msg	Updated {_1} linked file(s) changed on disk	已更新 {_1} 个在磁盘上更改的链接文件
 @msg	linked pictures show the low-resolution preview saved in the file until their files are found: relink them in the Links panel	链接的图片在找到其文件之前显示文件中存储的低分辨率预览：请在“链接”面板中重新链接
+@msg	area type in frames too short for a line of the font it shows in got taller frames ({_1}): their type wouldn't show otherwise	框架高度不足以容纳所显示字体一行的区域文字已加高框架 ({_1})：否则文字不会显示
 	Update Modified Links	更新已修改的链接
 	Updated {} image(s)	已更新 {} 张图像
 	UPPERCASE	大写
diff --git a/crates/ui-egui/src/i18n/zh-hant.tsv b/crates/ui-egui/src/i18n/zh-hant.tsv
index 3aac3bd2..20156cee 100644
--- a/crates/ui-egui/src/i18n/zh-hant.tsv
+++ b/crates/ui-egui/src/i18n/zh-hant.tsv
@@ -3030,6 +3030,7 @@
 	{count} linked image(s) changed on disk. Show the new versions?	有 {count} 個連結影像已在磁碟上變更。要顯示新版本嗎？
 @msg	Updated {_1} linked file(s) changed on disk	已更新 {_1} 個在磁碟上變更的連結檔案
 @msg	linked pictures show the low-resolution preview saved in the file until their files are found: relink them in the Links panel	連結的圖片在找到其檔案之前顯示檔案中儲存的低解析度預覽：請在「連結」面板中重新連結
+@msg	area type in frames too short for a line of the font it shows in got taller frames ({_1}): their type wouldn't show otherwise	框架高度不足以容納所顯示字體一行的區域文字已加高框架 ({_1})：否則文字不會顯示
 	Update Modified Links	更新已修改的連結
 	Updated {} image(s)	已更新 {} 張影像
 	UPPERCASE	全部大寫