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Livros Livros 1 - 10 de 24 sobre The locus of the point of intersection of two tangents to a parabola which....
" The locus of the point of intersection of two tangents to a parabola which... "
Elements of analytic geometry - Página 118
de Simon Newcomb - 1885 - 356 páginas
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An elementary treatise on trilinear co-ordinates, the method of reciprocal ...

Norman Macleod Ferrers - 1861 - 166 páginas
...one of which is the line at infinity; and. the other must represent the directrix, since that is the locus of the point of intersection of two tangents to a parabola at right angles to one another. The appearance of the line at infinity as a factor in the result in...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880
...angles. 13. Find the condition that the line, у = mx -\- c, may be a tangent to the parabola, y' = iax. Find the locus of the point of intersection of two tangents to a parabola, which are inclined to each other at an angle of 45°. 14. Trace the curve represented by the equation y* - Щ...
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An Elementary Treatise on Analytic Geometry: Embracing Plane Geometry and an ...

Edward Albert Bowser - 1880 - 287 páginas
...(2)], 6 vv I/ = -- ; X -- . . (5) aey y . v' which is perpendicular to (4), by Art. 27, Cor. 1. 127. Find the locus of the point of intersection of two tangents to an hyperbola at right angles to each other. Reason as in Art. 94, or change V* into — A2 in equation...
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An Elementary Treatise on Conic Sections

Charles Smith - 1883 - 352 páginas
...point Q, then will the polar of Q pass through P. This may be proved exactly as in Art. 78. ' 1 20. To find the locus of the point of intersection of two tangents to an ellipse which are at right angles to one another. The line whose equation is y = mx + JaV + b'1...
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An elementary treatise on conic sections

Charles Smith - 1883 - 352 páginas
...meet the directrix in M, shew that MQ will be parallel to the axis of the parabola. 4. Shew that the locus of the point of intersection of two tangents to a parabola at points on the curve whose ordinates are in a constant ratio is a parabola. 5. The two tangents from...
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An Elementary Treatise on Conic Sections

Charles Smith - 1894 - 352 páginas
...is a normal to the curve. 107. We shall conclude this Chapter by the solution of some examples. (1) To find the locus of the point of intersection of two tangents to a parabola which make a given angle with one another. The line y = mx + - is a tangent to the parabola y* - 4<za; =...
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Elements of Projective Geometry

Luigi Cremona - 1885 - 302 páginas
...HK, and lying at the same distance from HK (on the opposite side) that F does. That is to say : The locus of the point of intersection of two tangents to a parabola which cut at right angles is the directrix*. Since the director circle of a conic is concentric with the...
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The Kansas University Quarterly, Volume 1

1893
...e and /> signify respectively the eccentricity and half the latus rectum of the inverted conic. The locus of the point of intersection of two tangents to a parabola which cut one another at a constant angle is a hyperbola having the same focus and directrix as the original...
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AN ELEMENTARY TREATISE ON THE GEOMETRY OF CONICS.

ASUTOSH MUHKOPADHYAY - 1893
...perpendicular to the directrix and SP; then 0/-/SJ7(Chap. L, Prop. XIII.), and Ex. 10. Prove that the locus of the point of intersection of two tangents to a parabola which cut at a constant angle is a hyperbola, which is a constant ratio greater than unity since L.OSP—Tr...
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The Kansas University Quarterly, Volume 1

1893
...e and / signify respectively the eccentricity and half the latus rectum of the inverted conic. The locus of the point of intersection of two tangents to a parabola which cut one another at a constant angle is a hyperbola having the same focus and directrix as the original...
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