By Alhazen (lbn al-Haytham), 965-1039 ; A. Mark Smith (editor, translation, commentary)

ISBN-10: 0871699621

ISBN-13: 9780871699626

ISBN-10: 1934846015

ISBN-13: 9781934846018

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Additional info for Alhacen on the principles of reflection. A Critical Edition, with English Translation and Commentary, of Books 4 and 5 of Alhacen’s De aspectibus. Volume One - Introduction and Latin Text ; Volume two - English Translation

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341). If the axis or major axis of the conic section is not normal to the mirror, there can be two points of reflection, because in that case two lines within the given plane can be drawn normal to the mirror’s surface from the section’s focus, which lies where the cutting plane intersects the cone’s axis. 45, p. 341-342). Therefore, since an infinite number of cutting planes can be passed through the viewpoint along the normal dropped from it to the mirror, an infinite number of conic sections can be formed on the mirror’s surface.

45, p. 341-342). Therefore, since an infinite number of cutting planes can be passed through the viewpoint along the normal dropped from it to the mirror, an infinite number of conic sections can be formed on the mirror’s surface. Within each plane, the particular conic section will have a unique pair of lines extending from its focus to intersect the mirror along the normal. There will thus be an infinite number of such intersection-points on the exposed portion of the mirror’s surface, each serving as a point of reflection for the given viewpoint.

This lemma is used only once in subsequent analysis (proposition 31, pp. 441-446—see esp. 295, p. 445). xxxviii ALHACEN’S DE ASPECTIBUS The penultimate lemma, proposition 23, lemma 5, pp. 425-426, entails dropping a line from outside a circle to a radius in that circle such that the segment of that line between where it intersects the circle and where it intersects the radius is equal to the segment of the radius between this latter point of intersection and the circle’s center. Given the circle with radius GB in figure 8, p.

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Alhacen on the principles of reflection. A Critical Edition, with English Translation and Commentary, of Books 4 and 5 of Alhacen’s De aspectibus. Volume One - Introduction and Latin Text ; Volume two - English Translation by Alhazen (lbn al-Haytham), 965-1039 ; A. Mark Smith (editor, translation, commentary)


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