论文标题
重新审视Einthoven的三角形：数学证明
Einthoven's Triangle Revisited: A Mathematical Proof
论文作者
论文摘要
Willem Einthoven被广泛认为是心电图（ECG）的父亲。在1912年，他提出了一种通过使用连接肢体导线的假想等边三角形来确定心脏的电轴的方法，现在称为Einthoven的三角形。 1924年，Einthoven因发现心电图的机制而被授予诺贝尔生理学或医学奖。一个多世纪后，Einthoven的三角形仍然是ECG解释的核心。它定义了ECG的轴在额面上导致的轴，从而决定了心脏电偶极子的轴。该方法在讲座中无处不在，并在临床环境中应用。但是Einthoven并未提供选择等边三角形的证据。未来的医学文献尚未探索其起源。本文提供了其派生的正式证明，以完成医学史和医学教育中的这一重要章节。此外，证明确定了额叶平面中双极ECG铅构型的替代系统的几何条件。
Willem Einthoven is widely considered the father of the electrocardiogram (ECG). In 1912, he proposed a method of determining the electric axis of the heart by using an imaginary equilateral triangle connecting the limb leads, now known as Einthoven's triangle. In 1924, Einthoven was awarded the Nobel Prize in Physiology or Medicine for his discovery of the mechanisms of the electrocardiogram. More than a century later, Einthoven's triangle is still at the heart of ECG interpretation. It defines the axes of the ECG leads in the frontal plane, that in turn, determines the axis of the cardiac electric dipole. The method is ubiquitously taught in lectures and applied in clinical settings. But Einthoven did not provide a proof for choosing the equilateral triangle. Future medical literature have not explored its origins. This paper provides a formal proof of its derivation to complete this important chapter in medical history and medical education. In addition, the proof determines the geometric conditions for alternative systems of bipolar ECG lead configurations in the frontal plane.
