
die Schrift
handwriting
The personal, individual way of writing by hand; handwriting.
Ich kann seine Schrift kaum lesen, er kritzelt so.
I can barely read his handwriting; he scribbles so much.
writing / script
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handwriting
The personal, individual way of writing by hand; handwriting.
Ich kann seine Schrift kaum lesen, er kritzelt so.
I can barely read his handwriting; he scribbles so much.

script
A system of signs (such as letters or symbols) used to write a language.
Die lateinische Schrift wird für viele Sprachen der Welt verwendet.
The Latin script is used for many languages around the world.

writing / text
A published text, especially a shorter academic or informative text.
Er hat eine Schrift über die Auswirkungen der Digitalisierung verfasst.
He wrote a paper on the effects of digitalization.

font / typeface
A particular graphic design of letters and characters; a typeface or font.
Für die Überschriften verwenden wir eine andere Schrift als für den Fließtext.
For the headings, we use a different font than for the body text.

Holy Scripture
The Bible; the collection of sacred texts of Judaism and Christianity.
Der Pfarrer zitierte eine Passage aus der Heiligen Schrift.
The pastor quoted a passage from Holy Scripture.
'Die Schrift' belongs to the word family of the verb 'schreiben' (to write). All meanings have to do with the written word, whether by hand, as a system, or as a text.
Schon als Kind hatte er eine sehr ordentliche Schrift.
Even as a child, he had very neat handwriting.
When 'Schrift' (handwriting) means handwriting, it is often described with adjectives such as 'leserlich' (legible), 'unleserlich' (illegible), 'schön' (beautiful/neat), or 'deutlich' (clear). You can 'lesen' (read) or 'entziffern' (decipher) someone's handwriting.
Seine Schrift ist so unleserlich, dass ich den Brief nicht entziffern kann.
His handwriting is so illegible that I can't decipher the letter.
When referring to a writing system, 'Schrift' (script) is often specified by a culture or a name. Examples include 'die arabische Schrift' (the Arabic script), 'die kyrillische Schrift' (the Cyrillic script), or 'die chinesische Schrift' (Chinese writing/characters).
Für meinen Russischkurs muss ich die kyrillische Schrift lernen.
For my Russian course, I have to learn the Cyrillic script.
In the meaning of 'published text', 'Schrift' (writing/text) is used mainly in academic and formal contexts for a treatise or tract. Typical verbs are 'verfassen' (to write/compose) or 'veröffentlichen' (to publish).
Die Historikerin hat eine wichtige Schrift über das Mittelalter veröffentlicht.
The historian published an important text on the Middle Ages.
In the context of computers, design, or printing, 'Schrift' (font/typeface) means a typeface or font. Typical verbs here are 'auswählen' (to select), 'ändern' (to change), or 'installieren' (to install).
Kannst du für das Dokument bitte eine andere Schrift auswählen?
Could you please select a different font for the document?
In the religious meaning, the fixed expression 'die Heilige Schrift' (Holy Scripture) is used almost exclusively to refer to the Bible.
Im Gottesdienst las der Priester aus der Heiligen Schrift vor.
During the church service, the priest read from Holy Scripture.
hand
Schrift and Hand can both mean a person's handwriting. Schrift directly refers to the visible appearance of the writing. In this use, Hand focuses more on the personal writing style and therefore often refers to the person who wrote it.

Sie erkannte Paul sofort an der Schrift auf dem Brief.
She immediately recognized Paul from the handwriting on the letter.
Sie erkannte sofort, dass der Brief von derselben Hand geschrieben war.
She immediately recognized that the letter had been written in the same handwriting.