point of intersection
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point of intersection
The point at which two or more lines, straight lines, or curves meet and cross. This term is mainly used in geometry and mathematics.
Der Schnittpunkt der beiden Geraden wurde exakt berechnet.
The point of intersection of the two straight lines was calculated exactly.
intersection
A place or point in time where different interests, developments, cultures, or paths meet and overlap.
Berlin war nach dem Fall der Mauer der Schnittpunkt von Ost und West.
After the fall of the Wall, Berlin was the intersection of East and West.
The word is made up of 'Schnitt' (cut/intersection, from the verb 'schneiden' (to cut)) and 'Punkt' (point). So it literally describes a point at which something intersects or crosses.
An diesem Schnittpunkt treffen sich drei verschiedene Straßen.
Three different streets meet at this intersection.
You can tell from context whether the geometric or figurative meaning is intended. Words like 'Gerade' (straight line), 'Linie' (line), or 'berechnen' (to calculate) point to geometry. Terms like 'Kulturen' (cultures), 'Interessen' (interests), or 'Geschichte' (history) indicate the figurative meaning.
Wir müssen den Schnittpunkt der beiden Funktionen berechnen.
We have to calculate the point of intersection of the two functions.
In the mathematical meaning, 'Schnittpunkt' (point of intersection) is often used with the preposition 'von' (of) or 'zwischen' (between). Typical verbs are 'berechnen' (to calculate), 'bestimmen' (to determine), and 'finden' (to find).
Der Schnittpunkt von Gerade a und Gerade b liegt im negativen Bereich.
The point of intersection of line a and line b lies in the negative range.
In its figurative meaning, 'Schnittpunkt' (intersection) is often used for abstract concepts. Common combinations are 'Schnittpunkt der Kulturen' (intersection of cultures), 'Schnittpunkt der Interessen' (intersection of interests), or 'am Schnittpunkt von Kunst und Technologie' (at the intersection of art and technology).
Dieses Festival ist ein Schnittpunkt für Musiker aus aller Welt.
This festival is an intersection for musicians from all over the world.
intersection / crossing
Kreuzung and Schnittpunkt both refer to places where lines or paths meet. In everyday use, a Kreuzung is usually a real road intersection or junction, whereas Schnittpunkt mainly refers to a mathematically defined point. For roads, people usually say „Kreuzung“; for lines in a drawing, „Schnittpunkt“ is used.
Im Diagramm markiert der rote Punkt den Schnittpunkt der beiden Linien.
In the diagram, the red dot marks the point of intersection of the two lines.
An der nächsten Kreuzung biegen wir in die Hauptstraße ein.
At the next intersection, we will turn onto the main road.
