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Aritmética azteca revisada: algoritmos de área de tierra y aritmética de congruencia de Acolhua
Barbara J Williams1, María del Carmen Jorge y Jorge
1Department of Geography and Geology, University of Wisconsin-Rock County, Janesville, WI 53546, USA.
Science (New York, N.Y.)
|April 5, 2008
Resumen
Los registros de tierras aztecas revelan un método de cálculo indígena único. Esta "aritmética de congruencia de Acolhua" determinó con precisión las áreas de campo agrícola utilizando proporciones, no fracciones.
Área de la Ciencia:
- La etnomatemática y las matemáticas étnicas.
- La historia de la Mesoamérica.
- Arqueología Arqueología.
Sus antecedentes:
- La civilización azteca (mexica) utilizó sofisticados sistemas de registro de tierras.
- Comprender la aritmética y la metrología aztecas es crucial para interpretar los datos históricos.
Objetivo del estudio:
- Para investigar los métodos de cálculo indígenas utilizados en los registros de la tierra Acolhua-azteca.
- Identificar y definir un nuevo sistema aritmético utilizado para el cálculo del área.
Principales métodos:
- Análisis de la muestra de campos cuadrangulares de los registros de la tierra Acolhua-azteca.
- Comparación de áreas computadas con valores registrados.
- Examen de medidas lineales y relaciones proporcionales.
Principales resultados:
- El 60% de las áreas de campo registradas fueron exactamente reproducibles por computación.
- Pequeñas discrepancias en las áreas restantes sugirieron una aritmética indígena desconocida.
- Pruebas encontradas para la "aritmética de congruencia de Acolhua", utilizando relaciones proporcionales en lugar de fracciones.
Conclusiones:
- La aritmética de congruencia de Acolhua explica las discrepancias en las áreas registradas.
- Este sistema aclara la varianza en las unidades lineales de Acolhua y Tenochca.
- Los hallazgos mejoran la comprensión de la metrología azteca y los sistemas matemáticos.
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