key point / vertex
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key point
In a figurative sense, an essential, fundamental point or component of a concept, plan, or agreement.
Die Minister haben sich auf die Eckpunkte der Gesundheitsreform geeinigt.
The ministers agreed on the key points of the healthcare reform.
vertex
In geometry, a point where two or more edges or sides of a figure or solid meet.
Ein Quadrat hat vier Ecken und somit auch vier Eckpunkte.
A square has four corners and therefore also four vertices.
The word is composed of 'Ecke' (corner) and 'Punkt' (point). The literal meaning, 'point at a corner,' helps you understand both meanings: the geometric point and the figurative 'important point' in a plan.
Ein Dreieck wird durch drei Eckpunkte definiert.
A triangle is defined by three vertices.
The context makes the meaning clear. If people are talking about geometry or shapes, it means the point of a figure. In discussions about politics, plans, or contracts, it refers to the most important, fundamental components.
Die Eckpunkte des Würfels wurden markiert.
The vertices of the cube were marked.
In the figurative sense, 'Eckpunkte' (key points) is often used with verbs such as 'festlegen' (to define), 'vereinbaren' (to agree on), or 'beschließen' (to decide/adopt). People often speak of the key points of a concept, a paper, or a reform.
Lassen Sie uns zunächst die Eckpunkte für das Projekt festlegen.
Let us first define the key points for the project.
apex
Apex and Eckpunkt can both refer to a particularly important point in the development of something or in a plan. Apex emphasizes the peak or high point, while an Eckpunkt is a fundamental component or important basis. Use Apex for the highest point reached and Eckpunkt for a central condition of a plan.
Die Finanzierung ist ein wichtiger Eckpunkt des neuen Bauplans.
The financing is an important key point of the new construction plan.
Der Gewinn des Wettbewerbs war der Apex seiner bisherigen sportlichen Entwicklung.
Winning the competition was the apex of her athletic development to date.
