Instrument I · one heart, six sides
Lead II
Move the heart’s electrical loop. Watch six leads draw themselves.
At this instantI +0.00 + III +0.00 = II +0.00 mV
25 mm/s and 5 mm/mV, the half standard: the step at the start of each lead is one millivolt
This is geometry, not diagnosis. It draws what a loop would produce; it does not read anyone’s heart.
This instrument draws in your browser, and it needs JavaScript to do it. Nothing is sent anywhere.
What you are looking at
The disc is the front of the chest, seen face on: the patient’s left is on your right, the feet are at the bottom. The pale curves are the path traced by the tip of the heart’s electrical vector during one beat: a small loop for the atria, P; a large one for the ventricles, QRS; a slow one for their recovery, T. The needle is that vector at this instant.
Each line through the centre is a lead. A lead does not see the heart; it sees one direction. What it writes is the needle’s shadow on its own line: up when the needle leans toward its labelled end, down when it leans away, nothing when the needle stands square across it. Six directions, six shadows of one needle.
Why one arrow is not enough
Textbooks often draw a single arrow, the mean electrical axis, and read the leads off it. Slide the instrument from loop to arrow and watch what that throws away. The arrow keeps the same mean, so every lead keeps the same net area. But inside each wave all six now write one curve, only taller, shorter or upside down.
A still arrow gives six sizes. The six different shapes of a real tracing, the small q, the tall R, the s that follows, come from the path the arrow travels in time, and from nothing else.
The arithmetic of six leads
Two identities hold for any heart, simply from the way the leads are wired: I + III = II, and aVR + aVL + aVF = 0, at every instant. The line under the dial does the first sum as the beat runs. What Einthoven’s triangle adds is the geometry: put the heart at its centre and lead I looks along 0°, II along +60°, III along +120°; aVR, aVL and aVF along −150°, −30° and +90°.
The augmented leads read √3⁄2 of what a limb lead would read along the same direction: the dial shows the whole shadow, the aVR, aVL and aVF traces write that fraction of it. The axis printed on the dial is the direction of the mean vector; the net QRS area in I against the net area in aVF, scaled back by 2⁄√3, gives the same angle.
What the loop is made of
Each wave is a few activation fronts added together: two for the atria, right and then left; four for the ventricles, the septum first, then the bulk of both walls in two halves, then the base; two for recovery. Each front is a direction with a rise and a fall in time. The loop is not drawn by hand. It is where their sum points, one millisecond at a time.
At 75 beats a minute the intervals and the heights sit inside the usual adult ranges. It is a model of the geometry, made to be taken apart, not the recording of a heart.
What this is not
It is not a diagnostic tool, and it takes nobody’s data: there is no field here for a tracing, a number or a symptom, on purpose. The loops it draws are the ones you make with your hands. A question about a real heart belongs with a doctor who can examine it.
Where it comes from
A. D. Waller, A demonstration on man of electromotive changes accompanying the heart’s beat, Journal of Physiology 8 (1887), 229–234. The first electrocardiogram of a human heart.
W. Einthoven, G. Fahr, A. de Waart, Über die Richtung und die manifeste Grösse der Potentialschwankungen im menschlichen Herzen und über den Einfluss der Herzlage auf die Form des Elektrokardiogramms, Pflügers Archiv 150 (1913), 275–315. The triangle, and the axis in the frontal plane.
F. N. Wilson and others, Electrocardiograms that represent the potential variations of a single electrode, American Heart Journal 9 (1934), 447–458. The central terminal.
E. Goldberger, A simple, indifferent, electrocardiographic electrode of zero potential and a technique of obtaining augmented, unipolar, extremity leads, American Heart Journal 23 (1942), 483–492. aVR, aVL and aVF.
Made by Vincenzo Lambiase, medical student. It is drawn in your browser and sends nothing anywhere. To hear when the next instrument is out, write to me.