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The logarithmic spiral, autoisoptic curve
Puerta Romero, Francisco and Gómez-Elvira González, Miguel Angel and San Antonio Gomez, Jose Carlos de and Pérez Martín, Enrique and Conejo Martin, Miguel Angel
The logarithmic spiral, autoisoptic curve.
"Anales de Ingeniería Gráfica"
In the Line of Investigation that in the department of “Technical Drawing” in the School of Agriculture Engineering of Madrid, we carry out on the study of The Technical Curves and his singularities, we demonstrate an interesting property of the Logarithmic Spiral. The demonstrated property consists of which the logarithmic spiral is a autoisoptic curve, that is to say that if from a point P anyone of the spiral tangent straight lines draw up to the previous arc, these form a constant angle α. This demonstration is novel and in addition we get to contribute a method to calculate the angle α given the equation of the spiral.
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