English

Progressions, Rays and Houses in Medieval Islamic Astrology - A Mathematical Classification by J. Casulleras And J. P. Hogendijk

"This paper concerns the history of applied mathematics in medieval Islamic civilization. We will discuss the three astrological concepts of houses, rays and progressions and their mathematical interpretations. In Section 2 we introduce these concepts and explain their importance for the astrologers. The houses, rays and progressions could be defined according to mathematically different systems. The medieval systems for defining the houses were first classified by J. D. North (1986), and his classification was extended by E. S. Kennedy (1996). The purpose of this paper is to attempt a classification for rays and progressions similar to the classification which North and Kennedy gave for the houses. Our classification is based on the publications of many modern historians of Islamic science. A definition and reference for the use of progressions among the Arabs was given by O. Schirmer (1934), whereas a significant study on the rays in the Islamic area was published by E. S.Kennedy and H. Krikorian-Preisler (1972). An overview of the resolution of astrological questions by means of analogical instruments in al-Andalus was presented in 1990 by Calvo (published in 1998). Relevant med

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