Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 σελίδες |
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Σελίδα xi
... four points which lie on a circle 118 119 · • 119 • The tangent , terminated by the asymptotes , is bisected at the point of contact 120 · Conjugate diameters PG . Pg = CD2 - • PG : CDCB : CA PF.CDCA.CB CV.CT CD2 121 122 · 122 122 • 126 ...
... four points which lie on a circle 118 119 · • 119 • The tangent , terminated by the asymptotes , is bisected at the point of contact 120 · Conjugate diameters PG . Pg = CD2 - • PG : CDCB : CA PF.CDCA.CB CV.CT CD2 121 122 · 122 122 • 126 ...
Σελίδα 43
... four given straight lines . 53. If the diameter PV meet the directrix in O , and the focal chord , parallel to the tangent at P , in V , prove that PV = PO . 54. In the last example , prove that the locus of V is a parabola . 55. The ...
... four given straight lines . 53. If the diameter PV meet the directrix in O , and the focal chord , parallel to the tangent at P , in V , prove that PV = PO . 54. In the last example , prove that the locus of V is a parabola . 55. The ...
Σελίδα 48
... four intersecting straight lines be taken three together so as to form four triangles , the perpendiculars of these triangles intersect in four points which lie on a straight line . * For another proof see The Lady's and Gentleman's ...
... four intersecting straight lines be taken three together so as to form four triangles , the perpendiculars of these triangles intersect in four points which lie on a straight line . * For another proof see The Lady's and Gentleman's ...
Σελίδα 85
... four points their common chords will be equally inclined to the axis of the ellipse . Let Q , R , Q ' , R ' be the points of intersection and let QR cut Q'R ' in O. Then the rectangles QO.OR , Q'O.OR ' are as the squares on parallel ...
... four points their common chords will be equally inclined to the axis of the ellipse . Let Q , R , Q ' , R ' be the points of intersection and let QR cut Q'R ' in O. Then the rectangles QO.OR , Q'O.OR ' are as the squares on parallel ...
Σελίδα 91
... four points which lie on a circle . 12. If AQ be drawn from one of the vertices perpen- dicular to the tangent at any point P , the locus of the point of intersection of PS , QA will be a circle . 1 13. If the tangent and normal at P ...
... four points which lie on a circle . 12. If AQ be drawn from one of the vertices perpen- dicular to the tangent at any point P , the locus of the point of intersection of PS , QA will be a circle . 1 13. If the tangent and normal at P ...
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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 asymptotes auxiliary circle axis in G bisects the angle CA² Cambridge CB² CD² centre chord of contact chord of curvature chords parallel cone conic Conic Sections conjugate diameters conjugate hyperbola conjugate points 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 Let the tangent locus major axis meet the asymptotes meet the axis meet the curve meet the directrix meet the minor middle point minor axis opposite sides ordinate parabola parallelogram pass pencil perpendicular plane PM perpendicular point of intersection point Q points of contact polar projection Prop prove quadrilateral rectangular hyperbola right angles semi-latus rectum similar triangles Similarly straight line drawn subtends 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.