 | George Salmon - Conic sections - 1852 - 338 pages
...middle point of GF will describe the cissoid. The proof we leave to the reader. (Lardner's Algebraic Geometry, pp. 196, 472.) The cissoid is also the locus...vertex of the moving parabola will be the cissoid. In all curves of the third class we have shown that there are three foci such that the product of the... | |
 | Mathematics - 1860 - 426 pages
...the cusp, and whose vertical focal distance is equal to а the axis of the cissoid, or in other words the locus of the foot of a perpendicular let fall from the vertex of a parabola on a tangent to it is a cissoid. This is easily shewn by the method of tangential coordinates. Since the... | |
 | James Booth - 1873 - 426 pages
...cusp, and whose vertical focal distance is equal to a the axis of the cissoid ; or, iu other words, the locus of the foot of a perpendicular let fall from the vertex of a parabola on a tangent to it is a cissoid. This is easily shown by the method of tangential coordinates. "2/3 Since... | |
 | William Elwood Byerly - 1888 - 284 pages
...of the ellipse. It is then a circle on the major axis of the ellipse as diameter. EXAMPLE. Show that the locus of the foot of a perpendicular let fall from the focus upon any tangent is a circle on the transverse axis as diameter in the hyperbola; is the tangent... | |
 | William Elwood Byerly - Calculus, Integral - 1895 - 298 pages
...of the ellipse. It is then a circle on the major axis of the ellipse as diameter. EXAMPLE. Show that the locus of the foot of a perpendicular let fall from the focus upon any tangent is a circle on the transverse axis as diameter in the hyperbola; is the tangent... | |
 | Education - 1914 - 898 pages
...the curve lying in the fourth quadrant is not shown in the drawing. The curve may also be defined as the locus of the foot of a perpendicular let fall from the vertex of a parabola upon a tangent. The problem of "duplicating the cube" is not taken up directly by Cantor. The solution... | |
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The curve may also be defined as the locus of the foot of a perpendicular let fall from the vertex of a parabola upon a tangent. The problem of "duplicating the cube" is not taken up directly by Cantor. 