Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 σελίδες |
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Σελίδα vi
... chord re- spectively . The first of these results was pointed out by ... focal distances of a point on the ellipse is constant , has been proved ... focal distances , may be generated in two ways by means of a focus and directrix . Prop ...
... chord re- spectively . The first of these results was pointed out by ... focal distances of a point on the ellipse is constant , has been proved ... focal distances , may be generated in two ways by means of a focus and directrix . Prop ...
Σελίδα xi
... focal perpendicular lies on the circle upon the axis SY.HZ CB2 = 104 105 If the normal at P meet the minor axis in g ... chord Qq meet the asymptotes in R , r , then QR = qr QV2 : PV.VP ' = CD2 : CP2 128 • 129 If a chord meet the curve ...
... focal perpendicular lies on the circle upon the axis SY.HZ CB2 = 104 105 If the normal at P meet the minor axis in g ... chord Qq meet the asymptotes in R , r , then QR = qr QV2 : PV.VP ' = CD2 : CP2 128 • 129 If a chord meet the curve ...
Σελίδα 7
... focal chord in- tersect upon the directrix , and the straight line joining their point of intersection to the focus is at right angles to the chord . Let OSP be any focal chord , SR a straight line at right angles to it , which meets ...
... focal chord in- tersect upon the directrix , and the straight line joining their point of intersection to the focus is at right angles to the chord . Let OSP be any focal chord , SR a straight line at right angles to it , which meets ...
Σελίδα 13
... focal chord , then 2SP.SQ = SE.PQ , SE being half the latus rectum . Let the normals at P , Q meet the axis in the points G , F , P E K M S F G those points to PQ . and let K , M be the feet of the perpendiculars drawn from Then FM is ...
... focal chord , then 2SP.SQ = SE.PQ , SE being half the latus rectum . Let the normals at P , Q meet the axis in the points G , F , P E K M S F G those points to PQ . and let K , M be the feet of the perpendiculars drawn from Then FM is ...
Σελίδα 16
... chords which that diameter bisects . COR . 2. The following is a construction for the diameter bisecting a given chord . Join the middle point of the chord to the point in which the focal perpendicular upon the chord meets the directrix ...
... chords which that diameter bisects . COR . 2. The following is a construction for the diameter bisecting a given chord . Join the middle point of the chord to the point in which the focal perpendicular upon the chord meets the directrix ...
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Geometrical Conics: Including Anharmonic Ratio and Projection, with numerous ... Charles Taylor Περιορισμένη προεπισκόπηση - 2022 |
Geometrical Conics: Including Anharmonic Ratio and Projection, with numerous ... Charles Taylor Περιορισμένη προεπισκόπηση - 2022 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD abscissa Alternando asymptotes auxiliary circle axis in G bisects the angle CA² Cambridge CB² CD² centre chord of contact chord of curvature chord PQ chords parallel cone Conic Sections conjugate diameters conjugate hyperbola constant ratio corresponding CP² Crown 8vo Draw drawn parallel ellipse equally inclined fixed point fixed straight line focal chord foci focus harmonic Hence inscribed latus rectum Lemma Let the tangent locus major axis meet the axis meet the directrix meet the minor meets the curve middle point minor axis opposite sides ordinate parabola parallel chords parallelogram pass pencil perpendicular plane point of intersection point Q points of contact polar produced projection Prop prove quadrilateral rectangular hyperbola right angles semi-diameter semi-latus rectum similar triangles Similarly straight line drawn touches vertex
Δημοφιλή αποσπάσματα
Σελίδα 226 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.