cover image: Journal of the Royal Asiatic Society of Bengal  1949 (Science)

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Journal of the Royal Asiatic Society of Bengal 1949 (Science)

1949

Ptolemy further adds that in the case of bodies having only one iequality both the hypotheses are applicable to the phenomena provided the following conditions are fulfilled:- 1. The ratio of the radius of the excentric circle to the distance between the centres of the earth and excentric circle is equal to the ratio of the radius of the concentric circle carrying the epicycle to the radius o [...] Thus the epicycle moves round the excetric twice in the mean synodic month and so the distance of the centre of the epicycle from the apogee of the excentric circle or the angle FEG is nearly twice the moon's elongation from the sun. [...] Ptolemy assumes that the line of apse in the epicycle does not pass through the centre of the earth but through a point on the side away from the centre of the excentric and at a distance equal to that between the centre of the earth and the centre of the excentric. [...] Ptolemy assumes the following conditions:— 1. The plane of the excentric circle is inclined to the plane of the ecliptic and the plane of the epicycle is inclined to the plane of the excentric circle. [...] The difference in the circumference of an epicycle between these two ends is equal to the product of the sine of the anomaly and the difference between the circumferences of the epicycles at the end of odd and even quadrants divided by the radius of the orbit.
technology medicine science
Pages
111
Published in
India
SARF Document ID
sarf.120250
Segment Pages Author Actions
Cover
i-i unknown view
Frontmatter
i-i unknown view
Geometrical Interpretation of the Motion of the Sun Moon and the Five Planets as Found in the Mathematical Syntaxis of Ptolemy and in the Hindu Astronomical Works
41-90 Bina Chatterjee view
Contributions to Affine Differential Geometry—I
91-104 T.S. Nanjundiah view
Soil Fertility and Balanced Manuring
105-120 A.R. Foster view
Some Novel Properties of Cyclides and Hyper-Cyclides
121-130 Haridas Bagchi view
Note on the Sextactic Points of a Cubic and Its Hessian
131-138 Haridas Bagchi view
Lecithin and Venom Haemolysis
139-147 A.C. Roy view
Backmatter
i-ii unknown view

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