cover image: Journal of the Royal Asiatic Society of Bengal  1950 (Science)

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Journal of the Royal Asiatic Society of Bengal 1950 (Science)

1950

We draw through the point Z on the surface of the mirror a circle every point of which is equidistant from the point O. Thus the rays which proceed parallel to the axis and end at the circumference of this circle are all reflected to the point C and so the relation of every point on the surface of the mirror with respect to the point C on the axis is the same as that of the whole circle which th [...] (d) The rays which are reflected from the circle (containing Z) the distance of which from the end of the axis (B) of the mirror is equal to the side of the (regular) octagon 2 which is inscribed in the greatest circle in the sphere are all reflected to the centre of the circle (containing Z). [...] Therefore the ray which proceeds along the line HZ is reflected to the point C along the line ZC; and similarly all the rays which proceed from the circumference of the circle which passes through the point Z are all collected to the point C. But if we were to keep the axis DB fixed and rotate the segment of the circle the point C would be the centre of the circle which would be described by the [...] (e) The rays which are reflected from the circle whose distance from the end of the axis equals the side of a (regular) hexagon are reflected from the whole of it to the end of the axis; and within (the circumference of) that circle whose distance from the end of the axis is greater than the side of the hexagon and less than the side of a square 3 they are reflected to a point on the axis outsid [...] Now if the place of burning is outside the circle the radius of the circle would not be much greater than the diameter of the mirror ; for the radius of the circle is the hypotenuse corresponding to the radius (half aperture) of the mirror and the difference between the following two lines viz the hypotenuse corresponding to the radius of the mirror and the given distance and the given distanc
technology medicine science
Pages
105
Published in
India
SARF Document ID
sarf.120250
Segment Pages Author Actions
Cover
i-i unknown view
Frontmatter
i-i unknown view
A Discourse on the Concave Spherical Mirror by Ibn Al-Haitham
1-16 H.J.J. Winter, W. Arafat view
Note on Hermite’s Function Hn(Z) and Its Associated Equations (Functional and Differential)
17-26 Hari Das Bagchi, Phatik Chatterji view
The Algebra of ’Umar Khayyām
27-78 H.J.J. Winter, W. Arafat view
Sargassa of India Seas
79-iv Kalipada Biswas, Arun Sharma view
Backmatter
i-ii unknown view

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