A Geometrical Treatise On Conic Sections With Numerous Examples for the Use of S
A Geometrical Treatise On Conic Sections With Numerous Examples for the Use of S
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In our eReader you can find the full English version of the book. Read A Geometrical Treatise On Conic Sections With Numerous Examples for the Use of S Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book A Geometrical Treatise On Conic Sections With Numerous Examples for the Use of S
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25. To two parabolas which have a common focus and axis two tangents are drawn at right angles ; the locus of their intersection is a straight line parallel to the directrices.
2G. If any three tangents be drawn to a parabola, the circle described about the triangle so formed will pass through the focus, and the perpendiculars from the angles on the opposite sides intersect in the directrix.
27. A parabola touches one side of a triangle in its middle point, and the other two sides produced. Pro...ve that the per- pendiculars drawn from the angles of the triangle upon any tangent to the parabola are in harmonical progression.
28. Two equal parabolas have the same axis and vertex, but are turned in opposite directions ; chords of one parabola are tangents to the other. Show that the locus of the middle point of the chords is a parabola whose latus rectum is one- third of that of the given parabola.
29. Two equal parabolas have the same focus, and their axes are at right angles to each other, and a normal to one of them is perpendicular to a normal of the other ; prove that the locus of the intersection of such lines is a parabola.
What to read after A Geometrical Treatise On Conic Sections With Numerous Examples for the Use of S?
You can find similar books in the "Read Also" column, or choose other free books by William Henry Drew to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
25. To two parabolas which have a common focus and axis two tangents are drawn at right angles ; the locus of their intersection is a straight line parallel to the directrices.
2G. If any three tangents be drawn to a parabola, the circle described about the triangle so formed will pass through the focus, and the perpendiculars from the angles on the opposite sides intersect in the directrix.
27. A parabola touches one side of a triangle in its middle point, and the other two sides produced. Pro...ve that the per- pendiculars drawn from the angles of the triangle upon any tangent to the parabola are in harmonical progression.
28. Two equal parabolas have the same axis and vertex, but are turned in opposite directions ; chords of one parabola are tangents to the other. Show that the locus of the middle point of the chords is a parabola whose latus rectum is one- third of that of the given parabola.
29. Two equal parabolas have the same focus, and their axes are at right angles to each other, and a normal to one of them is perpendicular to a normal of the other ; prove that the locus of the intersection of such lines is a parabola.
What to read after A Geometrical Treatise On Conic Sections With Numerous Examples for the Use of S?
You can find similar books in the "Read Also" column, or choose other free books by William Henry Drew to read onlineMoreLess
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