An Introduction to the Ancient And Modern Geometry of Conics Being a Geometrica
An Introduction to the Ancient And Modern Geometry of Conics Being a Geometrica
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Ad. Shew also in the right cone, with the construction of Art. 72, that the circle drawn with the middle point of AA as centre to bisect AH and A'K passes through the foci.
583. If a scalene cone be cut by any plane at a given distance from its vertex, the latus rectum of the section will be constant. * 584. The transverse axis of a section of an oblique cone being supposed to lie in v the plane of reference, prove that the circle which touches the axis and passes through the centres of the two... circular sections which can be drawn through either vertex determines the nearer focus. F 585. If the conjugate axis lie in the plane of reference, and if two circular sections be drawn through either of its * This extension of Art. 78, Cor. May be proved as follows. Supposing the transverse axis to lie in the plane of reference, let DH be the diameter (in that plane) of the section which is parallel to the base and equidistant with the plane of the conic from the vertex (fig. Art. 72) of the cone.
What to read after An Introduction to the Ancient And Modern Geometry of Conics Being a Geometrica?
You can find similar books in the "Read Also" column, or choose other free books by Charles Taylor to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Ad. Shew also in the right cone, with the construction of Art. 72, that the circle drawn with the middle point of AA as centre to bisect AH and A'K passes through the foci.
583. If a scalene cone be cut by any plane at a given distance from its vertex, the latus rectum of the section will be constant. * 584. The transverse axis of a section of an oblique cone being supposed to lie in v the plane of reference, prove that the circle which touches the axis and passes through the centres of the two... circular sections which can be drawn through either vertex determines the nearer focus. F 585. If the conjugate axis lie in the plane of reference, and if two circular sections be drawn through either of its * This extension of Art. 78, Cor. May be proved as follows. Supposing the transverse axis to lie in the plane of reference, let DH be the diameter (in that plane) of the section which is parallel to the base and equidistant with the plane of the conic from the vertex (fig. Art. 72) of the cone.
What to read after An Introduction to the Ancient And Modern Geometry of Conics Being a Geometrica?
You can find similar books in the "Read Also" column, or choose other free books by Charles Taylor to read onlineMoreLess
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